MIT-OCW-Transcripts / -EgKluVR2Ug.txt
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the following content is provided under
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the following content is provided under
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a creative commons license your support
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a creative commons license your support
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a creative commons license your support
will help mit opencourseware continue to
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will help mit opencourseware continue to
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will help mit opencourseware continue to
offer high quality educational resources
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offer high quality educational resources
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offer high quality educational resources
for free
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for free
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for free
to make a donation or to view additional
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to make a donation or to view additional
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to make a donation or to view additional
materials from hundreds of mit courses
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materials from hundreds of mit courses
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materials from hundreds of mit courses
visit mit opencourseware at ocw.mit.edu
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good morning everyone
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good morning everyone
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good morning everyone
good evening in singapore
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good evening in singapore
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good evening in singapore
where is everyone
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i think they're on the way we'll be here
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i think they're on the way we'll be here
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i think they're on the way we'll be here
in a minute okay
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in a minute okay
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in a minute okay
i'm gonna
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i'm gonna
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i'm gonna
go ahead and
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go ahead and
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go ahead and
uh start what i wanted to do is uh i
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uh start what i wanted to do is uh i
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uh start what i wanted to do is uh i
sent a message around about these team
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sent a message around about these team
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sent a message around about these team
guidelines so
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guidelines so
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guidelines so
our team project guidelines so i'm not
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our team project guidelines so i'm not
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our team project guidelines so i'm not
going to go in great detail through
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going to go in great detail through
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going to go in great detail through
these slides hopefully everybody is well
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these slides hopefully everybody is well
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these slides hopefully everybody is well
on the way towards identifying a team
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on the way towards identifying a team
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on the way towards identifying a team
but i wanted to go quickly through this
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but i wanted to go quickly through this
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but i wanted to go quickly through this
and then answer any questions you may
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and then answer any questions you may
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and then answer any questions you may
have on the on the team projects
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have on the on the team projects
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have on the on the team projects
a quick reminder that the team projects
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a quick reminder that the team projects
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a quick reminder that the team projects
are about 20
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are about 20
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are about 20
uh of the grade so they are an important
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uh of the grade so they are an important
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uh of the grade so they are an important
part of this
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part of this
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part of this
and the basic expectation is this is
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and the basic expectation is this is
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and the basic expectation is this is
where you get a chance to dive deep into
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where you get a chance to dive deep into
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where you get a chance to dive deep into
the analysis
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the analysis
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the analysis
and exercising and some of the kinds of
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and exercising and some of the kinds of
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and exercising and some of the kinds of
tools and approaches we've been talking
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tools and approaches we've been talking
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tools and approaches we've been talking
about with a set of data
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about with a set of data
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about with a set of data
our hope is that you can find data
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our hope is that you can find data
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our hope is that you can find data
yourself
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through the various members of the class
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through the various members of the class
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through the various members of the class
i think
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i think
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i think
in one of the earlier problem sets we
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in one of the earlier problem sets we
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in one of the earlier problem sets we
asked for
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asked for
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asked for
your experiences perhaps with some past
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your experiences perhaps with some past
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your experiences perhaps with some past
data i think there's plenty of data
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data i think there's plenty of data
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data i think there's plenty of data
around
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around
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around
if you are not able to tap into some
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if you are not able to tap into some
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if you are not able to tap into some
past data you you or colleagues have
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past data you you or colleagues have
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past data you you or colleagues have
generated in the lab in a previous job
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generated in the lab in a previous job
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generated in the lab in a previous job
that you can share
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that you can share
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that you can share
or whatever you can also tap into the
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or whatever you can also tap into the
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or whatever you can also tap into the
literature
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literature
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literature
so if you find data in the literature
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so if you find data in the literature
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so if you find data in the literature
that is perfectly fine as well
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that is perfectly fine as well
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that is perfectly fine as well
um and then in a few cases we actually
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um and then in a few cases we actually
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um and then in a few cases we actually
have some data from our own
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have some data from our own
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have some data from our own
experimentation
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experimentation
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experimentation
and research so if you're really stuck
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and research so if you're really stuck
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and research so if you're really stuck
uh let me know or let hayden know and we
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uh let me know or let hayden know and we
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uh let me know or let hayden know and we
can try to connect you up to something
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i've listed a few topic areas i don't
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i've listed a few topic areas i don't
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i've listed a few topic areas i don't
want these to be
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want these to be
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want these to be
limiting but i mean these are the main
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limiting but i mean these are the main
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limiting but i mean these are the main
main kinds of topics we've been dealing
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main kinds of topics we've been dealing
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main kinds of topics we've been dealing
with in the class things like process
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with in the class things like process
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with in the class things like process
diagnosis looking at the data to detect
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diagnosis looking at the data to detect
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diagnosis looking at the data to detect
uh problems
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uh problems
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uh problems
ways of optimizing or improving the
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ways of optimizing or improving the
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ways of optimizing or improving the
process through
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process through
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process through
design of experiments optimization and
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design of experiments optimization and
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design of experiments optimization and
so on and then some other sort of
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so on and then some other sort of
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so on and then some other sort of
advanced applications things like
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advanced applications things like
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advanced applications things like
nested variants
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nested variants
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nested variants
some of the spatial yield modeling
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some of the spatial yield modeling
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some of the spatial yield modeling
that sort of thing
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so i think it works well to have three
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so i think it works well to have three
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so i think it works well to have three
or even four members in the team so the
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or even four members in the team so the
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or even four members in the team so the
goal is
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goal is
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goal is
have a fairly rich data set and have
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have a fairly rich data set and have
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have a fairly rich data set and have
multiple members of the team applying
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multiple members of the team applying
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multiple members of the team applying
different kinds of analyses to the
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different kinds of analyses to the
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different kinds of analyses to the
problem
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problem
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problem
okay so
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okay so
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okay so
i think it does work where
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i think it does work where
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i think it does work where
you're able to identify contributions
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you're able to identify contributions
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you're able to identify contributions
from each of the
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from each of the
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from each of the
each of the team members but the whole
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each of the team members but the whole
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each of the team members but the whole
point of this is is actually
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point of this is is actually
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point of this is is actually
you know to be able to
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you know to be able to
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you know to be able to
pick over the data
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pick over the data
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pick over the data
talk about the data
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talk about the data
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talk about the data
talk about your approach to
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talk about your approach to
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talk about your approach to
analysis
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analysis
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analysis
and looking at the problem with your
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and looking at the problem with your
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and looking at the problem with your
teammates
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teammates
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teammates
thursday the project proposal is due
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thursday the project proposal is due
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thursday the project proposal is due
this is just one or two pages describing
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this is just one or two pages describing
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this is just one or two pages describing
the basic data the basic
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the basic data the basic
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the basic data the basic
problem in your plan for attack what
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problem in your plan for attack what
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problem in your plan for attack what
kinds of analyses you hope to do and of
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kinds of analyses you hope to do and of
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kinds of analyses you hope to do and of
course list who your team members are
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course list who your team members are
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course list who your team members are
and what their roles are
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and what their roles are
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and what their roles are
the goal then is over the coming week
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the goal then is over the coming week
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the goal then is over the coming week
and maybe even starting
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and maybe even starting
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and maybe even starting
perhaps even after class for for folks
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perhaps even after class for for folks
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perhaps even after class for for folks
in singapore
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in singapore
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in singapore
on thursday certainly on tuesday
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on thursday certainly on tuesday
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on thursday certainly on tuesday
to have a
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to have a
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to have a
a chance to meet with me
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a chance to meet with me
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a chance to meet with me
or dave if he's available
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or dave if he's available
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or dave if he's available
to basically go over your plan
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to basically go over your plan
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to basically go over your plan
and your analysis so far if you're if
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and your analysis so far if you're if
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and your analysis so far if you're if
you're part way through it so we'll need
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you're part way through it so we'll need
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you're part way through it so we'll need
to do that by video conference with uh
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to do that by video conference with uh
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to do that by video conference with uh
with folks in singapore if we do it
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with folks in singapore if we do it
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with folks in singapore if we do it
right after class we can probably
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right after class we can probably
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right after class we can probably
try to arrange
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try to arrange
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try to arrange
this facility otherwise we'll use the
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this facility otherwise we'll use the
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this facility otherwise we'll use the
conference room
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conference room
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conference room
near the
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near the
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near the
the
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the
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the
sma
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sma
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sma
your sma offices
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your sma offices
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your sma offices
then the expectations are two parts
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then the expectations are two parts
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then the expectations are two parts
there'll be a group presentation
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there'll be a group presentation
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there'll be a group presentation
by the way not necessarily every single
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by the way not necessarily every single
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by the way not necessarily every single
member of your team needs to
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member of your team needs to
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member of your team needs to
present part of the presentation trying
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present part of the presentation trying
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present part of the presentation trying
to have four team members in a 15-minute
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to have four team members in a 15-minute
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to have four team members in a 15-minute
chunk
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chunk
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chunk
often can be kind of a kind of a
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often can be kind of a kind of a
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often can be kind of a kind of a
coordination mess so as a team you need
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coordination mess so as a team you need
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coordination mess so as a team you need
to put together a presentation
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to put together a presentation
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to put together a presentation
and have one or maybe two people uh most
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and have one or maybe two people uh most
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and have one or maybe two people uh most
likely presenting uh some of those
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likely presenting uh some of those
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likely presenting uh some of those
results and then at the end of that week
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results and then at the end of that week
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results and then at the end of that week
on friday uh may 16th which is the
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on friday uh may 16th which is the
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on friday uh may 16th which is the
the end of the term given that we do not
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the end of the term given that we do not
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the end of the term given that we do not
have a final exam
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have a final exam
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have a final exam
a single shared group report
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a single shared group report
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a single shared group report
needs to be submitted
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align:start position:0%
these are just some example example
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these are just some example example
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these are just some example example
topics i'm not sure if those have been
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topics i'm not sure if those have been
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topics i'm not sure if those have been
drawn from
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drawn from
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drawn from
past semesters or not
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past semesters or not
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past semesters or not
uh here's some additional kinds of
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uh here's some additional kinds of
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uh here's some additional kinds of
suggestions that
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suggestions that
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suggestions that
that that i mentioned kinds of analyses
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that that i mentioned kinds of analyses
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that that i mentioned kinds of analyses
that might be of interest
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that might be of interest
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that might be of interest
uh in the report these are some
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uh in the report these are some
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uh in the report these are some
guidelines on what we'd like to see in
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guidelines on what we'd like to see in
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guidelines on what we'd like to see in
the report one note here and i haven't
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the report one note here and i haven't
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the report one note here and i haven't
posted it yet
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posted it yet
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posted it yet
is whoops is we'd like to
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is whoops is we'd like to
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is whoops is we'd like to
use a common
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use a common
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use a common
template just for the formatting and
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template just for the formatting and
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template just for the formatting and
guidelines and basically the ieee
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guidelines and basically the ieee
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guidelines and basically the ieee
two-column format has worked really
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two-column format has worked really
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two-column format has worked really
nicely we have word templates i think we
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nicely we have word templates i think we
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nicely we have word templates i think we
even have latex templates if there's
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even have latex templates if there's
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even have latex templates if there's
anybody who still uses latex
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anybody who still uses latex
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anybody who still uses latex
i will post that
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i will post that
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i will post that
that template
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that template
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that template
on the web what's nice about that
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on the web what's nice about that
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on the web what's nice about that
is we can actually then put together all
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is we can actually then put together all
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is we can actually then put together all
of the written reports from the class
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of the written reports from the class
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of the written reports from the class
into almost a little booklet and it's a
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into almost a little booklet and it's a
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into almost a little booklet and it's a
it almost looks like a little a little
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it almost looks like a little a little
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it almost looks like a little a little
mini
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mini
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mini
uh journal or a little mini conference
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uh journal or a little mini conference
align:start position:0%
uh journal or a little mini conference
proceeding if you will
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proceeding if you will
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proceeding if you will
with these
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with these
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with these
these reports it also is a nice
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these reports it also is a nice
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these reports it also is a nice
professional looking
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professional looking
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professional looking
report so we'll distribute
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report so we'll distribute
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report so we'll distribute
that as well
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that as well
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that as well
so finally i just uh
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so finally i just uh
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so finally i just uh
grabbed from the past two or three years
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grabbed from the past two or three years
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grabbed from the past two or three years
some of the titles from some of the
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some of the titles from some of the
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some of the titles from some of the
process
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process
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process
uh or team report uh
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uh or team report uh
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uh or team report uh
and presentations
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and presentations
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and presentations
just to give you a little bit of a sense
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just to give you a little bit of a sense
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just to give you a little bit of a sense
of the variety of of kinds of things
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of the variety of of kinds of things
align:start position:0%
of the variety of of kinds of things
that we saw
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that we saw
align:start position:0%
that we saw
so those might give you some idea by the
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so those might give you some idea by the
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so those might give you some idea by the
way back in 2005 we we were more focused
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way back in 2005 we we were more focused
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way back in 2005 we we were more focused
on like two-person projects or
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on like two-person projects or
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on like two-person projects or
one-person projects
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one-person projects
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one-person projects
uh and these were great reports but we
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uh and these were great reports but we
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uh and these were great reports but we
did decide that uh
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did decide that uh
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did decide that uh
sharing and interacting uh made made
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sharing and interacting uh made made
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sharing and interacting uh made made
things uh
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things uh
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things uh
a better learning experience for all so
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a better learning experience for all so
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a better learning experience for all so
so with that let me open it up anybody
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so with that let me open it up anybody
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so with that let me open it up anybody
have questions on how the team reports
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have questions on how the team reports
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have questions on how the team reports
team projects team presentations need to
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team projects team presentations need to
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team projects team presentations need to
go
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go
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go
i'll try to break
align:start position:0%
i'll try to break
align:start position:0%
i'll try to break
does pretty much everybody have a team
align:start position:0%
does pretty much everybody have a team
align:start position:0%
does pretty much everybody have a team
in formation
align:start position:0%
in formation
align:start position:0%
in formation
are there people who kind of are still
align:start position:0%
are there people who kind of are still
align:start position:0%
are there people who kind of are still
looking for possible partners
align:start position:0%
align:start position:0%
okay one or two okay i'll try to break
align:start position:0%
okay one or two okay i'll try to break
align:start position:0%
okay one or two okay i'll try to break
you know maybe five minutes earlier
align:start position:0%
you know maybe five minutes earlier
align:start position:0%
you know maybe five minutes earlier
which may mean actually break on time um
align:start position:0%
which may mean actually break on time um
align:start position:0%
which may mean actually break on time um
uh
align:start position:0%
uh
align:start position:0%
uh
at the end of class so
align:start position:0%
at the end of class so
align:start position:0%
at the end of class so
uh could be a little bit of a discussion
align:start position:0%
uh could be a little bit of a discussion
align:start position:0%
uh could be a little bit of a discussion
while people are still face to face uh
align:start position:0%
while people are still face to face uh
align:start position:0%
while people are still face to face uh
on that
align:start position:0%
on that
align:start position:0%
on that
any other questions on that
align:start position:0%
align:start position:0%
professor yes
align:start position:0%
professor yes
align:start position:0%
professor yes
um just now you mentioned um
align:start position:0%
um just now you mentioned um
align:start position:0%
um just now you mentioned um
having a rich set of data
align:start position:0%
having a rich set of data
align:start position:0%
having a rich set of data
so
align:start position:0%
so
align:start position:0%
so
from my understanding we are supposed to
align:start position:0%
from my understanding we are supposed to
align:start position:0%
from my understanding we are supposed to
do the experiments ourselves so i would
align:start position:0%
do the experiments ourselves so i would
align:start position:0%
do the experiments ourselves so i would
like to know how
align:start position:0%
like to know how
align:start position:0%
like to know how
big a set of data are you expecting
align:start position:0%
align:start position:0%
well
align:start position:0%
well
align:start position:0%
well
i
align:start position:0%
i
align:start position:0%
i
my expectation or
align:start position:0%
my expectation or
align:start position:0%
my expectation or
minimal expectation i would say is more
align:start position:0%
minimal expectation i would say is more
align:start position:0%
minimal expectation i would say is more
that you might be able to tap into data
align:start position:0%
that you might be able to tap into data
align:start position:0%
that you might be able to tap into data
that has already previously been
align:start position:0%
that has already previously been
align:start position:0%
that has already previously been
generated
align:start position:0%
generated
align:start position:0%
generated
it's ambitious and i would applaud
align:start position:0%
it's ambitious and i would applaud
align:start position:0%
it's ambitious and i would applaud
uh people wanting to go and generate
align:start position:0%
uh people wanting to go and generate
align:start position:0%
uh people wanting to go and generate
additional data
align:start position:0%
additional data
align:start position:0%
additional data
so we could certainly talk and depending
align:start position:0%
so we could certainly talk and depending
align:start position:0%
so we could certainly talk and depending
on the data you have in mind but but
align:start position:0%
on the data you have in mind but but
align:start position:0%
on the data you have in mind but but
what i mean by a rich set of data is
align:start position:0%
what i mean by a rich set of data is
align:start position:0%
what i mean by a rich set of data is
something that will support
align:start position:0%
something that will support
align:start position:0%
something that will support
enough of the kinds of analyses that
align:start position:0%
enough of the kinds of analyses that
align:start position:0%
enough of the kinds of analyses that
we've been been talking about through
align:start position:0%
we've been been talking about through
align:start position:0%
we've been been talking about through
through the term
align:start position:0%
through the term
align:start position:0%
through the term
so if it's a doe it needs to be
align:start position:0%
so if it's a doe it needs to be
align:start position:0%
so if it's a doe it needs to be
you know probably several parameters of
align:start position:0%
you know probably several parameters of
align:start position:0%
you know probably several parameters of
input several parameters of output
align:start position:0%
input several parameters of output
align:start position:0%
input several parameters of output
maybe you have some
align:start position:0%
maybe you have some
align:start position:0%
maybe you have some
additional twist to it that's kind of
align:start position:0%
additional twist to it that's kind of
align:start position:0%
additional twist to it that's kind of
interesting or or non-standard
align:start position:0%
interesting or or non-standard
align:start position:0%
interesting or or non-standard
that included some
align:start position:0%
that included some
align:start position:0%
that included some
some thorny issues in the data maybe
align:start position:0%
some thorny issues in the data maybe
align:start position:0%
some thorny issues in the data maybe
it's an unbalanced design or an
align:start position:0%
it's an unbalanced design or an
align:start position:0%
it's an unbalanced design or an
imperfect design and you have to try to
align:start position:0%
imperfect design and you have to try to
align:start position:0%
imperfect design and you have to try to
try to accommodate that i'm i'm all i
align:start position:0%
try to accommodate that i'm i'm all i
align:start position:0%
try to accommodate that i'm i'm all i
mean is is uh
align:start position:0%
align:start position:0%
you know
align:start position:0%
you know
align:start position:0%
you know
enough data to do what you would like to
align:start position:0%
enough data to do what you would like to
align:start position:0%
enough data to do what you would like to
propose
align:start position:0%
propose
align:start position:0%
propose
to do and that that that we can talk
align:start position:0%
to do and that that that we can talk
align:start position:0%
to do and that that that we can talk
about uh
align:start position:0%
about uh
align:start position:0%
about uh
about finding acceptable
align:start position:0%
about finding acceptable
align:start position:0%
about finding acceptable
so were you actually looking at going in
align:start position:0%
so were you actually looking at going in
align:start position:0%
so were you actually looking at going in
and generating some data on a one of the
align:start position:0%
and generating some data on a one of the
align:start position:0%
and generating some data on a one of the
processes or tools or equipment there
align:start position:0%
align:start position:0%
uh
align:start position:0%
uh
align:start position:0%
uh
uh my girl haven't had a discussion yet
align:start position:0%
uh my girl haven't had a discussion yet
align:start position:0%
uh my girl haven't had a discussion yet
um
align:start position:0%
um
align:start position:0%
um
it's a requirement oh okay yeah so we
align:start position:0%
it's a requirement oh okay yeah so we
align:start position:0%
it's a requirement oh okay yeah so we
can follow up with hayden
align:start position:0%
can follow up with hayden
align:start position:0%
can follow up with hayden
on that i think you know bonding and
align:start position:0%
on that i think you know bonding and
align:start position:0%
on that i think you know bonding and
that sort of thing would be great
align:start position:0%
align:start position:0%
so we won't be too ambitious it'll be
align:start position:0%
so we won't be too ambitious it'll be
align:start position:0%
so we won't be too ambitious it'll be
doable
align:start position:0%
align:start position:0%
okay other questions
align:start position:0%
align:start position:0%
all kind of manufacturing processes
align:start position:0%
all kind of manufacturing processes
align:start position:0%
all kind of manufacturing processes
but i have a
align:start position:0%
but i have a
align:start position:0%
but i have a
past lab data
align:start position:0%
past lab data
align:start position:0%
past lab data
from kind of material engineering
align:start position:0%
align:start position:0%
sure so the question was you know is is
align:start position:0%
sure so the question was you know is is
align:start position:0%
sure so the question was you know is is
material engineering data
align:start position:0%
material engineering data
align:start position:0%
material engineering data
mechanical pro processes mechanical
align:start position:0%
mechanical pro processes mechanical
align:start position:0%
mechanical pro processes mechanical
properties
align:start position:0%
properties
align:start position:0%
properties
is that okay and the answer is
align:start position:0%
is that okay and the answer is
align:start position:0%
is that okay and the answer is
absolutely i mean if you look at some of
align:start position:0%
absolutely i mean if you look at some of
align:start position:0%
absolutely i mean if you look at some of
these past
align:start position:0%
these past
align:start position:0%
these past
projects you've got everything from you
align:start position:0%
projects you've got everything from you
align:start position:0%
projects you've got everything from you
know some things that look kind of like
align:start position:0%
know some things that look kind of like
align:start position:0%
know some things that look kind of like
semiconductor stuff laser diode it's not
align:start position:0%
semiconductor stuff laser diode it's not
align:start position:0%
semiconductor stuff laser diode it's not
transistors but you have other things of
align:start position:0%
transistors but you have other things of
align:start position:0%
transistors but you have other things of
of bending printed circuit boards sheet
align:start position:0%
of bending printed circuit boards sheet
align:start position:0%
of bending printed circuit boards sheet
metal blanket surface quality and
align:start position:0%
metal blanket surface quality and
align:start position:0%
metal blanket surface quality and
milling
align:start position:0%
milling
align:start position:0%
milling
all kinds this is sort of general
align:start position:0%
all kinds this is sort of general
align:start position:0%
all kinds this is sort of general
general manufacturing
align:start position:0%
general manufacturing
align:start position:0%
general manufacturing
and general processes
align:start position:0%
and general processes
align:start position:0%
and general processes
so that would be no problem at all yeah
align:start position:0%
align:start position:0%
yeah
align:start position:0%
yeah
align:start position:0%
yeah
can you post like one of the reports on
align:start position:0%
can you post like one of the reports on
align:start position:0%
can you post like one of the reports on
stanley so you can take a look
align:start position:0%
stanley so you can take a look
align:start position:0%
stanley so you can take a look
uh yeah well i think what we've done in
align:start position:0%
uh yeah well i think what we've done in
align:start position:0%
uh yeah well i think what we've done in
the past is put up some example some of
align:start position:0%
the past is put up some example some of
align:start position:0%
the past is put up some example some of
the prior year reports we haven't posted
align:start position:0%
the prior year reports we haven't posted
align:start position:0%
the prior year reports we haven't posted
those yet but i'll try to do that today
align:start position:0%
those yet but i'll try to do that today
align:start position:0%
those yet but i'll try to do that today
great thank you
align:start position:0%
align:start position:0%
okay any other questions
align:start position:0%
okay any other questions
align:start position:0%
okay any other questions
all right let me switch here
align:start position:0%
align:start position:0%
so
align:start position:0%
so
align:start position:0%
so
again what we're doing now is sort of
align:start position:0%
again what we're doing now is sort of
align:start position:0%
again what we're doing now is sort of
switching to some case studies there's
align:start position:0%
switching to some case studies there's
align:start position:0%
switching to some case studies there's
still
align:start position:0%
still
align:start position:0%
still
perhaps uh in a few of the lectures some
align:start position:0%
perhaps uh in a few of the lectures some
align:start position:0%
perhaps uh in a few of the lectures some
new material if you will coming along
align:start position:0%
new material if you will coming along
align:start position:0%
new material if you will coming along
in in this case study the first case
align:start position:0%
in in this case study the first case
align:start position:0%
in in this case study the first case
study
align:start position:0%
study
align:start position:0%
study
uh i don't think there's actually that
align:start position:0%
uh i don't think there's actually that
align:start position:0%
uh i don't think there's actually that
much new in terms of uh
align:start position:0%
much new in terms of uh
align:start position:0%
much new in terms of uh
methodologies and so on i just think
align:start position:0%
methodologies and so on i just think
align:start position:0%
methodologies and so on i just think
this is a nice example though a little
align:start position:0%
this is a nice example though a little
align:start position:0%
this is a nice example though a little
dated now of a fairly
align:start position:0%
dated now of a fairly
align:start position:0%
dated now of a fairly
straightforward but thorough application
align:start position:0%
straightforward but thorough application
align:start position:0%
straightforward but thorough application
of design of experiments and response
align:start position:0%
of design of experiments and response
align:start position:0%
of design of experiments and response
surface modeling
align:start position:0%
surface modeling
align:start position:0%
surface modeling
so i also by the way posted
align:start position:0%
so i also by the way posted
align:start position:0%
so i also by the way posted
the paper
align:start position:0%
the paper
align:start position:0%
the paper
for
align:start position:0%
for
align:start position:0%
for
this case study on the site as well it's
align:start position:0%
this case study on the site as well it's
align:start position:0%
this case study on the site as well it's
down in the reading section that goes
align:start position:0%
down in the reading section that goes
align:start position:0%
down in the reading section that goes
readings that goes with the lecture
align:start position:0%
readings that goes with the lecture
align:start position:0%
readings that goes with the lecture
so you know you'll have to go and pop
align:start position:0%
so you know you'll have to go and pop
align:start position:0%
so you know you'll have to go and pop
off this
align:start position:0%
off this
align:start position:0%
off this
what is it eight or nine page
align:start position:0%
what is it eight or nine page
align:start position:0%
what is it eight or nine page
paper
align:start position:0%
paper
align:start position:0%
paper
as well i should mention some of the
align:start position:0%
as well i should mention some of the
align:start position:0%
as well i should mention some of the
other case studies will also have papers
align:start position:0%
other case studies will also have papers
align:start position:0%
other case studies will also have papers
from the literature
align:start position:0%
from the literature
align:start position:0%
from the literature
for you to grab
align:start position:0%
for you to grab
align:start position:0%
for you to grab
and read
align:start position:0%
and read
align:start position:0%
and read
so this case study comes from
align:start position:0%
so this case study comes from
align:start position:0%
so this case study comes from
semiconductor manufacturing
align:start position:0%
semiconductor manufacturing
align:start position:0%
semiconductor manufacturing
it's a little dated now it goes back to
align:start position:0%
it's a little dated now it goes back to
align:start position:0%
it's a little dated now it goes back to
align:start position:0%
align:start position:0%
but this was actually kind of just the
align:start position:0%
but this was actually kind of just the
align:start position:0%
but this was actually kind of just the
time when things like
align:start position:0%
time when things like
align:start position:0%
time when things like
statistical process control more
align:start position:0%
statistical process control more
align:start position:0%
statistical process control more
thorough design of experiments response
align:start position:0%
thorough design of experiments response
align:start position:0%
thorough design of experiments response
service modeling was really finally
align:start position:0%
service modeling was really finally
align:start position:0%
service modeling was really finally
hitting the semiconductor
align:start position:0%
hitting the semiconductor
align:start position:0%
hitting the semiconductor
industry
align:start position:0%
industry
align:start position:0%
industry
and really
align:start position:0%
and really
align:start position:0%
and really
starting to be more
align:start position:0%
starting to be more
align:start position:0%
starting to be more
widespread in
align:start position:0%
widespread in
align:start position:0%
widespread in
adoption
align:start position:0%
adoption
align:start position:0%
adoption
so i think this is a nice case it's a
align:start position:0%
so i think this is a nice case it's a
align:start position:0%
so i think this is a nice case it's a
nice case study because they actually
align:start position:0%
nice case study because they actually
align:start position:0%
nice case study because they actually
show us the
align:start position:0%
show us the
align:start position:0%
show us the
experimental conditions the actual data
align:start position:0%
experimental conditions the actual data
align:start position:0%
experimental conditions the actual data
and the actual models that they
align:start position:0%
and the actual models that they
align:start position:0%
and the actual models that they
generated
align:start position:0%
generated
align:start position:0%
generated
some of the things are a little dated
align:start position:0%
some of the things are a little dated
align:start position:0%
some of the things are a little dated
for example they talk about
align:start position:0%
for example they talk about
align:start position:0%
for example they talk about
millimeter wafers
align:start position:0%
millimeter wafers
align:start position:0%
millimeter wafers
so this is five inch wafer processing
align:start position:0%
so this is five inch wafer processing
align:start position:0%
so this is five inch wafer processing
which is kind of a weird size but it
align:start position:0%
which is kind of a weird size but it
align:start position:0%
which is kind of a weird size but it
also you know we're up to 300 millimeter
align:start position:0%
also you know we're up to 300 millimeter
align:start position:0%
also you know we're up to 300 millimeter
12 inch wafers so it shows the march of
align:start position:0%
12 inch wafers so it shows the march of
align:start position:0%
12 inch wafers so it shows the march of
progress of of technology however
align:start position:0%
progress of of technology however
align:start position:0%
progress of of technology however
cbd and cvd of blanket tungsten is is
align:start position:0%
cbd and cvd of blanket tungsten is is
align:start position:0%
cbd and cvd of blanket tungsten is is
still heavily used very integral so it's
align:start position:0%
still heavily used very integral so it's
align:start position:0%
still heavily used very integral so it's
still a relevant process
align:start position:0%
still a relevant process
align:start position:0%
still a relevant process
so what i want to do
align:start position:0%
so what i want to do
align:start position:0%
so what i want to do
in looking at this case is go through
align:start position:0%
in looking at this case is go through
align:start position:0%
in looking at this case is go through
talk a little bit about the bank
align:start position:0%
talk a little bit about the bank
align:start position:0%
talk a little bit about the bank
background of tungsten cbd things that
align:start position:0%
background of tungsten cbd things that
align:start position:0%
background of tungsten cbd things that
aren't in the paper but may give you a
align:start position:0%
aren't in the paper but may give you a
align:start position:0%
aren't in the paper but may give you a
little bit of a
align:start position:0%
little bit of a
align:start position:0%
little bit of a
a feel on the more of a feel on the
align:start position:0%
a feel on the more of a feel on the
align:start position:0%
a feel on the more of a feel on the
process
align:start position:0%
process
align:start position:0%
process
talk a little bit about the preliminary
align:start position:0%
talk a little bit about the preliminary
align:start position:0%
talk a little bit about the preliminary
work that
align:start position:0%
work that
align:start position:0%
work that
they did
align:start position:0%
they did
align:start position:0%
they did
looking back at the prior paper that
align:start position:0%
looking back at the prior paper that
align:start position:0%
looking back at the prior paper that
they
align:start position:0%
they
align:start position:0%
they
that they cite
align:start position:0%
that they cite
align:start position:0%
that they cite
and then we'll go through the
align:start position:0%
and then we'll go through the
align:start position:0%
and then we'll go through the
experimental design that they performed
align:start position:0%
experimental design that they performed
align:start position:0%
experimental design that they performed
to try to optimize
align:start position:0%
to try to optimize
align:start position:0%
to try to optimize
this tungsten cbd process to understand
align:start position:0%
this tungsten cbd process to understand
align:start position:0%
this tungsten cbd process to understand
it model it and then optimize it so
align:start position:0%
it model it and then optimize it so
align:start position:0%
it model it and then optimize it so
we'll look at the data we'll do some rsm
align:start position:0%
we'll look at the data we'll do some rsm
align:start position:0%
we'll look at the data we'll do some rsm
analysis or
align:start position:0%
analysis or
align:start position:0%
analysis or
mostly looking at
align:start position:0%
mostly looking at
align:start position:0%
mostly looking at
their analysis in the paper
align:start position:0%
their analysis in the paper
align:start position:0%
their analysis in the paper
but
align:start position:0%
but
align:start position:0%
but
assuming i have time at the end and i
align:start position:0%
assuming i have time at the end and i
align:start position:0%
assuming i have time at the end and i
think i will
align:start position:0%
think i will
align:start position:0%
think i will
i'll switch over and we'll we'll use
align:start position:0%
i'll switch over and we'll we'll use
align:start position:0%
i'll switch over and we'll we'll use
play around with jump a little bit with
align:start position:0%
play around with jump a little bit with
align:start position:0%
play around with jump a little bit with
that same data set and
align:start position:0%
that same data set and
align:start position:0%
that same data set and
show you a few of the kinds of analyses
align:start position:0%
show you a few of the kinds of analyses
align:start position:0%
show you a few of the kinds of analyses
that are possible
align:start position:0%
that are possible
align:start position:0%
that are possible
with that tool
align:start position:0%
with that tool
align:start position:0%
with that tool
both for
align:start position:0%
both for
align:start position:0%
both for
regression some of the stepwise
align:start position:0%
regression some of the stepwise
align:start position:0%
regression some of the stepwise
regression that's referred to
align:start position:0%
regression that's referred to
align:start position:0%
regression that's referred to
in the paper and then some of the neat
align:start position:0%
in the paper and then some of the neat
align:start position:0%
in the paper and then some of the neat
tools actually in the interactive
align:start position:0%
tools actually in the interactive
align:start position:0%
tools actually in the interactive
capabilities of jump for for
align:start position:0%
capabilities of jump for for
align:start position:0%
capabilities of jump for for
optimization
align:start position:0%
optimization
align:start position:0%
optimization
now throughout this
align:start position:0%
now throughout this
align:start position:0%
now throughout this
think a little bit about where you see
align:start position:0%
think a little bit about where you see
align:start position:0%
think a little bit about where you see
weaknesses or alternative ideas or
align:start position:0%
weaknesses or alternative ideas or
align:start position:0%
weaknesses or alternative ideas or
things like that because at the end i
align:start position:0%
things like that because at the end i
align:start position:0%
things like that because at the end i
might ask what are some of your ideas of
align:start position:0%
might ask what are some of your ideas of
align:start position:0%
might ask what are some of your ideas of
things you think might have been
align:start position:0%
things you think might have been
align:start position:0%
things you think might have been
interesting
align:start position:0%
interesting
align:start position:0%
interesting
uh or important to try or to improve on
align:start position:0%
uh or important to try or to improve on
align:start position:0%
uh or important to try or to improve on
this so have that in mind what what
align:start position:0%
this so have that in mind what what
align:start position:0%
this so have that in mind what what
where where do you think they did a good
align:start position:0%
where where do you think they did a good
align:start position:0%
where where do you think they did a good
job what do you think they did a a
align:start position:0%
job what do you think they did a a
align:start position:0%
job what do you think they did a a
weaker job what might you suggest and
align:start position:0%
weaker job what might you suggest and
align:start position:0%
weaker job what might you suggest and
i'll ask you that question at the at the
align:start position:0%
i'll ask you that question at the at the
align:start position:0%
i'll ask you that question at the at the
end okay
align:start position:0%
end okay
align:start position:0%
end okay
so let me talk a little bit about
align:start position:0%
so let me talk a little bit about
align:start position:0%
so let me talk a little bit about
tungsten and in particular tungsten
align:start position:0%
tungsten and in particular tungsten
align:start position:0%
tungsten and in particular tungsten
plugs
align:start position:0%
plugs
align:start position:0%
plugs
so
align:start position:0%
so
align:start position:0%
so
tungsten
align:start position:0%
tungsten
align:start position:0%
tungsten
here is generally used as a conductor in
align:start position:0%
here is generally used as a conductor in
align:start position:0%
here is generally used as a conductor in
semiconductor fabrication it's not a
align:start position:0%
semiconductor fabrication it's not a
align:start position:0%
semiconductor fabrication it's not a
great conductor meaning it it's
align:start position:0%
great conductor meaning it it's
align:start position:0%
great conductor meaning it it's
often a little bit higher resistivity
align:start position:0%
often a little bit higher resistivity
align:start position:0%
often a little bit higher resistivity
than other metals like aluminum
align:start position:0%
than other metals like aluminum
align:start position:0%
than other metals like aluminum
or
align:start position:0%
or
align:start position:0%
or
or now copper
align:start position:0%
or now copper
align:start position:0%
or now copper
it's
align:start position:0%
it's
align:start position:0%
it's
continues to be heavily used for
align:start position:0%
continues to be heavily used for
align:start position:0%
continues to be heavily used for
contacts and plugs
align:start position:0%
contacts and plugs
align:start position:0%
contacts and plugs
so contacts are the holes that are
align:start position:0%
so contacts are the holes that are
align:start position:0%
so contacts are the holes that are
drilled between or into
align:start position:0%
drilled between or into
align:start position:0%
drilled between or into
an insulating layer from the first level
align:start position:0%
an insulating layer from the first level
align:start position:0%
an insulating layer from the first level
of metal down to the underlying silicon
align:start position:0%
of metal down to the underlying silicon
align:start position:0%
of metal down to the underlying silicon
okay
align:start position:0%
okay
align:start position:0%
okay
plugs are the same idea but at other
align:start position:0%
plugs are the same idea but at other
align:start position:0%
plugs are the same idea but at other
levels of interconnect so you would have
align:start position:0%
levels of interconnect so you would have
align:start position:0%
levels of interconnect so you would have
a a plug
align:start position:0%
a a plug
align:start position:0%
a a plug
from metal one to metal two or metal two
align:start position:0%
from metal one to metal two or metal two
align:start position:0%
from metal one to metal two or metal two
to metal 3 and so on
align:start position:0%
to metal 3 and so on
align:start position:0%
to metal 3 and so on
terminology is not completely uniform
align:start position:0%
terminology is not completely uniform
align:start position:0%
terminology is not completely uniform
but that's that's
align:start position:0%
but that's that's
align:start position:0%
but that's that's
that's the typical terminology
align:start position:0%
align:start position:0%
the examples drawn from from this paper
align:start position:0%
the examples drawn from from this paper
align:start position:0%
the examples drawn from from this paper
they talk about tungsten plugs in
align:start position:0%
they talk about tungsten plugs in
align:start position:0%
they talk about tungsten plugs in
conjunction with aluminum interconnect
align:start position:0%
conjunction with aluminum interconnect
align:start position:0%
conjunction with aluminum interconnect
and they're actually mostly focused i
align:start position:0%
and they're actually mostly focused i
align:start position:0%
and they're actually mostly focused i
think on tungsten between
align:start position:0%
think on tungsten between
align:start position:0%
think on tungsten between
or tungsten contacts
align:start position:0%
or tungsten contacts
align:start position:0%
or tungsten contacts
with the idea that in older technology
align:start position:0%
with the idea that in older technology
align:start position:0%
with the idea that in older technology
in fact you didn't need to drill and
align:start position:0%
in fact you didn't need to drill and
align:start position:0%
in fact you didn't need to drill and
form separate
align:start position:0%
form separate
align:start position:0%
form separate
plugs between layers you could just
align:start position:0%
plugs between layers you could just
align:start position:0%
plugs between layers you could just
allow say an aluminum deposition to go
align:start position:0%
allow say an aluminum deposition to go
align:start position:0%
allow say an aluminum deposition to go
in and fill
align:start position:0%
in and fill
align:start position:0%
in and fill
that layer and then
align:start position:0%
that layer and then
align:start position:0%
that layer and then
etch off where you where you didn't want
align:start position:0%
etch off where you where you didn't want
align:start position:0%
etch off where you where you didn't want
it
align:start position:0%
it
align:start position:0%
it
with scaling it became pretty much
align:start position:0%
with scaling it became pretty much
align:start position:0%
with scaling it became pretty much
essential to be able to form the plugs
align:start position:0%
essential to be able to form the plugs
align:start position:0%
essential to be able to form the plugs
separately from the interconnect
align:start position:0%
separately from the interconnect
align:start position:0%
separately from the interconnect
so
align:start position:0%
so
align:start position:0%
so
then tungsten was used to fill fill
align:start position:0%
then tungsten was used to fill fill
align:start position:0%
then tungsten was used to fill fill
those plugs between metal layers as well
align:start position:0%
those plugs between metal layers as well
align:start position:0%
those plugs between metal layers as well
as we've gone to copper interconnect
align:start position:0%
as we've gone to copper interconnect
align:start position:0%
as we've gone to copper interconnect
tungsten still appears
align:start position:0%
tungsten still appears
align:start position:0%
tungsten still appears
in most uh advanced technologies now
align:start position:0%
in most uh advanced technologies now
align:start position:0%
in most uh advanced technologies now
primarily just as the first level of of
align:start position:0%
primarily just as the first level of of
align:start position:0%
primarily just as the first level of of
contact
align:start position:0%
contact
align:start position:0%
contact
from a copper interconnect down to the
align:start position:0%
from a copper interconnect down to the
align:start position:0%
from a copper interconnect down to the
silicon so it is still used
align:start position:0%
silicon so it is still used
align:start position:0%
silicon so it is still used
and extensions where it may not purely
align:start position:0%
and extensions where it may not purely
align:start position:0%
and extensions where it may not purely
be be tungsten plugs but it may also be
align:start position:0%
be be tungsten plugs but it may also be
align:start position:0%
be be tungsten plugs but it may also be
in some cases
align:start position:0%
in some cases
align:start position:0%
in some cases
some local
align:start position:0%
some local
align:start position:0%
some local
some local interconnect
align:start position:0%
some local interconnect
align:start position:0%
some local interconnect
so you can down very close to the
align:start position:0%
so you can down very close to the
align:start position:0%
so you can down very close to the
silicon form little straps or other
align:start position:0%
silicon form little straps or other
align:start position:0%
silicon form little straps or other
sorts of local tungsten based uh
align:start position:0%
sorts of local tungsten based uh
align:start position:0%
sorts of local tungsten based uh
short very short run
align:start position:0%
short very short run
align:start position:0%
short very short run
interconnect
align:start position:0%
interconnect
align:start position:0%
interconnect
to form electrical connections
align:start position:0%
to form electrical connections
align:start position:0%
to form electrical connections
now the important part of tungsten why
align:start position:0%
now the important part of tungsten why
align:start position:0%
now the important part of tungsten why
it's used is that it's also
align:start position:0%
it's used is that it's also
align:start position:0%
it's used is that it's also
can be
align:start position:0%
can be
align:start position:0%
can be
conformally
align:start position:0%
conformally
align:start position:0%
conformally
filled
align:start position:0%
filled
align:start position:0%
filled
and can
align:start position:0%
and can
align:start position:0%
and can
especially with uh chemical vapor
align:start position:0%
especially with uh chemical vapor
align:start position:0%
especially with uh chemical vapor
deposition or plasma processing uh can
align:start position:0%
deposition or plasma processing uh can
align:start position:0%
deposition or plasma processing uh can
fill fairly small holes
align:start position:0%
fill fairly small holes
align:start position:0%
fill fairly small holes
so the basic idea
align:start position:0%
so the basic idea
align:start position:0%
so the basic idea
or progression
align:start position:0%
or progression
align:start position:0%
or progression
in a tungsten deposition
align:start position:0%
in a tungsten deposition
align:start position:0%
in a tungsten deposition
is you primarily get
align:start position:0%
is you primarily get
align:start position:0%
is you primarily get
conformal deposition so in time
align:start position:0%
conformal deposition so in time
align:start position:0%
conformal deposition so in time
the
align:start position:0%
the
align:start position:0%
the
gases
align:start position:0%
gases
align:start position:0%
gases
that are that are present in the plasma
align:start position:0%
that are that are present in the plasma
align:start position:0%
that are that are present in the plasma
chamber and reactor
align:start position:0%
chamber and reactor
align:start position:0%
chamber and reactor
interface with the surface form
align:start position:0%
interface with the surface form
align:start position:0%
interface with the surface form
reactions
align:start position:0%
reactions
align:start position:0%
reactions
and basically build up in a conformal
align:start position:0%
and basically build up in a conformal
align:start position:0%
and basically build up in a conformal
way to fill
align:start position:0%
align:start position:0%
fill the plug
align:start position:0%
fill the plug
align:start position:0%
fill the plug
now you want to do this in a way that
align:start position:0%
now you want to do this in a way that
align:start position:0%
now you want to do this in a way that
does not result in seams or
align:start position:0%
does not result in seams or
align:start position:0%
does not result in seams or
or voids in the middle so that can be a
align:start position:0%
or voids in the middle so that can be a
align:start position:0%
or voids in the middle so that can be a
little bit tricky but but that can be
align:start position:0%
little bit tricky but but that can be
align:start position:0%
little bit tricky but but that can be
done in in such a way that one
align:start position:0%
done in in such a way that one
align:start position:0%
done in in such a way that one
avoids those those plugs
align:start position:0%
align:start position:0%
now the way this paper uses tungsten
align:start position:0%
now the way this paper uses tungsten
align:start position:0%
now the way this paper uses tungsten
plugs is with a process they refer to as
align:start position:0%
plugs is with a process they refer to as
align:start position:0%
plugs is with a process they refer to as
plasma etchback so if i do that
align:start position:0%
plasma etchback so if i do that
align:start position:0%
plasma etchback so if i do that
conformal deposition
align:start position:0%
conformal deposition
align:start position:0%
conformal deposition
finally to this this surface
align:start position:0%
finally to this this surface
align:start position:0%
finally to this this surface
uh now i've got
align:start position:0%
uh now i've got
align:start position:0%
uh now i've got
you know the
align:start position:0%
you know the
align:start position:0%
you know the
tungsten not only in the plug but i've
align:start position:0%
tungsten not only in the plug but i've
align:start position:0%
tungsten not only in the plug but i've
also got all this excess tungsten out
align:start position:0%
also got all this excess tungsten out
align:start position:0%
also got all this excess tungsten out
here in the
align:start position:0%
here in the
align:start position:0%
here in the
neighboring regions that i want to
align:start position:0%
neighboring regions that i want to
align:start position:0%
neighboring regions that i want to
remove
align:start position:0%
remove
align:start position:0%
remove
and the idea of of etchback was that
align:start position:0%
and the idea of of etchback was that
align:start position:0%
and the idea of of etchback was that
through the deposition process i fill
align:start position:0%
through the deposition process i fill
align:start position:0%
through the deposition process i fill
the surface
align:start position:0%
the surface
align:start position:0%
the surface
but i leave essentially a nearly planar
align:start position:0%
but i leave essentially a nearly planar
align:start position:0%
but i leave essentially a nearly planar
surface that now if i just etch
align:start position:0%
surface that now if i just etch
align:start position:0%
surface that now if i just etch
uniformly
align:start position:0%
uniformly
align:start position:0%
uniformly
back that whole surface
align:start position:0%
back that whole surface
align:start position:0%
back that whole surface
i can remove down to the underlying
align:start position:0%
i can remove down to the underlying
align:start position:0%
i can remove down to the underlying
interface metal or interface layer or
align:start position:0%
interface metal or interface layer or
align:start position:0%
interface metal or interface layer or
the oxide
align:start position:0%
the oxide
align:start position:0%
the oxide
and leave the metal just in the in the
align:start position:0%
and leave the metal just in the in the
align:start position:0%
and leave the metal just in the in the
plug where i wanted it
align:start position:0%
plug where i wanted it
align:start position:0%
plug where i wanted it
in the paper they refer to using this as
align:start position:0%
in the paper they refer to using this as
align:start position:0%
in the paper they refer to using this as
are using plasma etchback to do this
align:start position:0%
are using plasma etchback to do this
align:start position:0%
are using plasma etchback to do this
uniform etchback
align:start position:0%
uniform etchback
align:start position:0%
uniform etchback
in modern processing this step has
align:start position:0%
in modern processing this step has
align:start position:0%
in modern processing this step has
pretty much been replaced with cmp
align:start position:0%
pretty much been replaced with cmp
align:start position:0%
pretty much been replaced with cmp
because that has a much higher
align:start position:0%
because that has a much higher
align:start position:0%
because that has a much higher
controllability and
align:start position:0%
controllability and
align:start position:0%
controllability and
gets around an important limitation
align:start position:0%
gets around an important limitation
align:start position:0%
gets around an important limitation
that's kind of pictured here in this in
align:start position:0%
that's kind of pictured here in this in
align:start position:0%
that's kind of pictured here in this in
this in this diagram
align:start position:0%
this in this diagram
align:start position:0%
this in this diagram
having to do with
align:start position:0%
having to do with
align:start position:0%
having to do with
very tight constraints on uniformity
align:start position:0%
very tight constraints on uniformity
align:start position:0%
very tight constraints on uniformity
with a plasma etchback
align:start position:0%
with a plasma etchback
align:start position:0%
with a plasma etchback
the basic issue with uniformity is if i
align:start position:0%
the basic issue with uniformity is if i
align:start position:0%
the basic issue with uniformity is if i
in fact have deposition
align:start position:0%
in fact have deposition
align:start position:0%
in fact have deposition
that results in different thicknesses
align:start position:0%
that results in different thicknesses
align:start position:0%
that results in different thicknesses
either in different locations within the
align:start position:0%
either in different locations within the
align:start position:0%
either in different locations within the
chip
align:start position:0%
chip
align:start position:0%
chip
or in different chips across the wafer
align:start position:0%
or in different chips across the wafer
align:start position:0%
or in different chips across the wafer
and i uniformly etch back
align:start position:0%
and i uniformly etch back
align:start position:0%
and i uniformly etch back
first off if i only etch back this
align:start position:0%
first off if i only etch back this
align:start position:0%
first off if i only etch back this
amount
align:start position:0%
amount
align:start position:0%
amount
in both regions then i have not
align:start position:0%
in both regions then i have not
align:start position:0%
in both regions then i have not
completely removed what i needed to in
align:start position:0%
completely removed what i needed to in
align:start position:0%
completely removed what i needed to in
the other regions so i have to make sure
align:start position:0%
the other regions so i have to make sure
align:start position:0%
the other regions so i have to make sure
i do enough overarch
align:start position:0%
i do enough overarch
align:start position:0%
i do enough overarch
to at least clear off and make sure i
align:start position:0%
to at least clear off and make sure i
align:start position:0%
to at least clear off and make sure i
don't have any shorts
align:start position:0%
don't have any shorts
align:start position:0%
don't have any shorts
anywhere on the wafer and when you do
align:start position:0%
anywhere on the wafer and when you do
align:start position:0%
anywhere on the wafer and when you do
that to make sure that i'm down to the
align:start position:0%
that to make sure that i'm down to the
align:start position:0%
that to make sure that i'm down to the
surface
align:start position:0%
surface
align:start position:0%
surface
in the thickest area you get over etch
align:start position:0%
in the thickest area you get over etch
align:start position:0%
in the thickest area you get over etch
lossage
align:start position:0%
lossage
align:start position:0%
lossage
in
align:start position:0%
in
align:start position:0%
in
the thinnest regions so you have a
align:start position:0%
the thinnest regions so you have a
align:start position:0%
the thinnest regions so you have a
fairly tight constraint then on what the
align:start position:0%
fairly tight constraint then on what the
align:start position:0%
fairly tight constraint then on what the
thickness uniformity is
align:start position:0%
thickness uniformity is
align:start position:0%
thickness uniformity is
as well as the etch uniformity in order
align:start position:0%
as well as the etch uniformity in order
align:start position:0%
as well as the etch uniformity in order
to achieve that
align:start position:0%
to achieve that
align:start position:0%
to achieve that
okay so the paper does talk a bit and in
align:start position:0%
okay so the paper does talk a bit and in
align:start position:0%
okay so the paper does talk a bit and in
fact we'll see later explicitly models
align:start position:0%
fact we'll see later explicitly models
align:start position:0%
fact we'll see later explicitly models
the wafer uniformity as one of the
align:start position:0%
the wafer uniformity as one of the
align:start position:0%
the wafer uniformity as one of the
outputs
align:start position:0%
outputs
align:start position:0%
outputs
in order to try to understand as they
align:start position:0%
in order to try to understand as they
align:start position:0%
in order to try to understand as they
play with some of the process conditions
align:start position:0%
play with some of the process conditions
align:start position:0%
play with some of the process conditions
how uniformity is going to be affected
align:start position:0%
how uniformity is going to be affected
align:start position:0%
how uniformity is going to be affected
by their choice of these conditions
align:start position:0%
by their choice of these conditions
align:start position:0%
by their choice of these conditions
okay
align:start position:0%
okay
align:start position:0%
okay
uh there's a couple of other interesting
align:start position:0%
uh there's a couple of other interesting
align:start position:0%
uh there's a couple of other interesting
aspects of plasma etchback that are
align:start position:0%
aspects of plasma etchback that are
align:start position:0%
aspects of plasma etchback that are
that are important uh
align:start position:0%
that are important uh
align:start position:0%
that are important uh
as well in particular help
align:start position:0%
align:start position:0%
inform the modeling that this paper uh
align:start position:0%
inform the modeling that this paper uh
align:start position:0%
inform the modeling that this paper uh
undertakes and that has to do with
align:start position:0%
undertakes and that has to do with
align:start position:0%
undertakes and that has to do with
surface roughness so not only if will
align:start position:0%
surface roughness so not only if will
align:start position:0%
surface roughness so not only if will
these sorts of features this topography
align:start position:0%
these sorts of features this topography
align:start position:0%
these sorts of features this topography
like that little dimple there
align:start position:0%
like that little dimple there
align:start position:0%
like that little dimple there
but also
align:start position:0%
but also
align:start position:0%
but also
if the surface of the film the deposited
align:start position:0%
if the surface of the film the deposited
align:start position:0%
if the surface of the film the deposited
film is rough
align:start position:0%
film is rough
align:start position:0%
film is rough
and i do a uniform plasma etch back
align:start position:0%
and i do a uniform plasma etch back
align:start position:0%
and i do a uniform plasma etch back
sort of a vertical plasma etch back
align:start position:0%
sort of a vertical plasma etch back
align:start position:0%
sort of a vertical plasma etch back
that surface roughness can in fact then
align:start position:0%
that surface roughness can in fact then
align:start position:0%
that surface roughness can in fact then
this is rough
align:start position:0%
this is rough
align:start position:0%
this is rough
that
align:start position:0%
that
align:start position:0%
that
in truth may be transmitted to the final
align:start position:0%
in truth may be transmitted to the final
align:start position:0%
in truth may be transmitted to the final
surface of the of the plug
align:start position:0%
surface of the of the plug
align:start position:0%
surface of the of the plug
so another important parameter that they
align:start position:0%
so another important parameter that they
align:start position:0%
so another important parameter that they
will be explicitly modeling is
align:start position:0%
will be explicitly modeling is
align:start position:0%
will be explicitly modeling is
tungsten the deposited tungsten
align:start position:0%
tungsten the deposited tungsten
align:start position:0%
tungsten the deposited tungsten
roughness
align:start position:0%
roughness
align:start position:0%
roughness
okay and generally less rough is better
align:start position:0%
okay and generally less rough is better
align:start position:0%
okay and generally less rough is better
it's going to give a high better surface
align:start position:0%
it's going to give a high better surface
align:start position:0%
it's going to give a high better surface
quality less prone to defects more
align:start position:0%
quality less prone to defects more
align:start position:0%
quality less prone to defects more
uniform in resistance and so on
align:start position:0%
uniform in resistance and so on
align:start position:0%
uniform in resistance and so on
okay
align:start position:0%
okay
align:start position:0%
okay
that by the way is another reason for
align:start position:0%
that by the way is another reason for
align:start position:0%
that by the way is another reason for
switching to cmp
align:start position:0%
switching to cmp
align:start position:0%
switching to cmp
cmp
align:start position:0%
cmp
align:start position:0%
cmp
planarizes
align:start position:0%
planarizes
align:start position:0%
planarizes
can deal with not only this kind of
align:start position:0%
can deal with not only this kind of
align:start position:0%
can deal with not only this kind of
surface topography
align:start position:0%
surface topography
align:start position:0%
surface topography
on a large scale
align:start position:0%
on a large scale
align:start position:0%
on a large scale
but it also smooths the surface on sort
align:start position:0%
but it also smooths the surface on sort
align:start position:0%
but it also smooths the surface on sort
of the atomic scale and so you tend to
align:start position:0%
of the atomic scale and so you tend to
align:start position:0%
of the atomic scale and so you tend to
get much
align:start position:0%
get much
align:start position:0%
get much
much
align:start position:0%
align:start position:0%
higher quality final
align:start position:0%
higher quality final
align:start position:0%
higher quality final
final plugs
align:start position:0%
final plugs
align:start position:0%
final plugs
okay any questions on basic tungsten
align:start position:0%
okay any questions on basic tungsten
align:start position:0%
okay any questions on basic tungsten
little lesson on tungsten plugs so let's
align:start position:0%
little lesson on tungsten plugs so let's
align:start position:0%
little lesson on tungsten plugs so let's
talk a little bit about the process
align:start position:0%
talk a little bit about the process
align:start position:0%
talk a little bit about the process
equipment and the process parameters
align:start position:0%
equipment and the process parameters
align:start position:0%
equipment and the process parameters
that are going to be in in this case
align:start position:0%
that are going to be in in this case
align:start position:0%
that are going to be in in this case
study
align:start position:0%
study
align:start position:0%
study
this is a schematic crocs section of an
align:start position:0%
this is a schematic crocs section of an
align:start position:0%
this is a schematic crocs section of an
applied materials precision 5000 reactor
align:start position:0%
applied materials precision 5000 reactor
align:start position:0%
applied materials precision 5000 reactor
configured for tungsten cbd
align:start position:0%
configured for tungsten cbd
align:start position:0%
configured for tungsten cbd
by the way this is a classic tool
align:start position:0%
by the way this is a classic tool
align:start position:0%
by the way this is a classic tool
the eight uh
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the eight uh
align:start position:0%
the eight uh
p5000
align:start position:0%
p5000
align:start position:0%
p5000
a map p5000 there's one of these in the
align:start position:0%
a map p5000 there's one of these in the
align:start position:0%
a map p5000 there's one of these in the
smithsonian institute
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smithsonian institute
align:start position:0%
smithsonian institute
it was the tool that made applied
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it was the tool that made applied
align:start position:0%
it was the tool that made applied
materials what it is today
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materials what it is today
align:start position:0%
materials what it is today
it was one of the first single wafer
align:start position:0%
it was one of the first single wafer
align:start position:0%
it was one of the first single wafer
processing tools that really gave
align:start position:0%
processing tools that really gave
align:start position:0%
processing tools that really gave
good control over the atmospheric
align:start position:0%
good control over the atmospheric
align:start position:0%
good control over the atmospheric
conditions for deposition for etching
align:start position:0%
conditions for deposition for etching
align:start position:0%
conditions for deposition for etching
these sorts of things so so
align:start position:0%
these sorts of things so so
align:start position:0%
these sorts of things so so
we're seeing a glimpse back into history
align:start position:0%
we're seeing a glimpse back into history
align:start position:0%
we're seeing a glimpse back into history
here even looking at this cross-section
align:start position:0%
here even looking at this cross-section
align:start position:0%
here even looking at this cross-section
by the way p5000s are still in use all
align:start position:0%
by the way p5000s are still in use all
align:start position:0%
by the way p5000s are still in use all
over the place
align:start position:0%
over the place
align:start position:0%
over the place
we have some
align:start position:0%
we have some
align:start position:0%
we have some
i guess just one in mtl
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i guess just one in mtl
align:start position:0%
i guess just one in mtl
i think mostly for etching
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i think mostly for etching
align:start position:0%
i think mostly for etching
but uh even in some fabs i i still run
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but uh even in some fabs i i still run
align:start position:0%
but uh even in some fabs i i still run
into them
align:start position:0%
into them
align:start position:0%
into them
they've been scaled up and improved and
align:start position:0%
they've been scaled up and improved and
align:start position:0%
they've been scaled up and improved and
configured you know changed in
align:start position:0%
configured you know changed in
align:start position:0%
configured you know changed in
configuration uh but but they are still
align:start position:0%
configuration uh but but they are still
align:start position:0%
configuration uh but but they are still
around so the basic idea here is that
align:start position:0%
around so the basic idea here is that
align:start position:0%
around so the basic idea here is that
the wafer
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the wafer
align:start position:0%
the wafer
will sit
align:start position:0%
will sit
align:start position:0%
will sit
here on a susceptor
align:start position:0%
here on a susceptor
align:start position:0%
here on a susceptor
in this plasma reactor
align:start position:0%
in this plasma reactor
align:start position:0%
in this plasma reactor
this low low pressure uh
align:start position:0%
this low low pressure uh
align:start position:0%
this low low pressure uh
plasma reactor in fact there are usually
align:start position:0%
plasma reactor in fact there are usually
align:start position:0%
plasma reactor in fact there are usually
pins uh i think three or four pins that
align:start position:0%
pins uh i think three or four pins that
align:start position:0%
pins uh i think three or four pins that
hold the wafer the robot loads the wafer
align:start position:0%
hold the wafer the robot loads the wafer
align:start position:0%
hold the wafer the robot loads the wafer
in onto these pins and then the pins uh
align:start position:0%
in onto these pins and then the pins uh
align:start position:0%
in onto these pins and then the pins uh
these lift fingers here i guess
align:start position:0%
these lift fingers here i guess
align:start position:0%
these lift fingers here i guess
recede and the wafer then sits on this
align:start position:0%
recede and the wafer then sits on this
align:start position:0%
recede and the wafer then sits on this
on this susceptor the susceptor
align:start position:0%
on this susceptor the susceptor
align:start position:0%
on this susceptor the susceptor
is
align:start position:0%
is
align:start position:0%
is
optically heated so there are these heat
align:start position:0%
optically heated so there are these heat
align:start position:0%
optically heated so there are these heat
lamps i think there's something like
align:start position:0%
lamps i think there's something like
align:start position:0%
lamps i think there's something like
thousand watt
align:start position:0%
thousand watt
align:start position:0%
thousand watt
heat lamps in this configuration that
align:start position:0%
heat lamps in this configuration that
align:start position:0%
heat lamps in this configuration that
heat up
align:start position:0%
heat up
align:start position:0%
heat up
and hold the temperature
align:start position:0%
and hold the temperature
align:start position:0%
and hold the temperature
of the whole platen the whole susceptor
align:start position:0%
align:start position:0%
there's then gas flow coming in from a a
align:start position:0%
there's then gas flow coming in from a a
align:start position:0%
there's then gas flow coming in from a a
gas feed there's a little mixing chamber
align:start position:0%
gas feed there's a little mixing chamber
align:start position:0%
gas feed there's a little mixing chamber
in here so that you can mix different
align:start position:0%
in here so that you can mix different
align:start position:0%
in here so that you can mix different
combinations of different gas flows and
align:start position:0%
combinations of different gas flows and
align:start position:0%
combinations of different gas flows and
then it goes through a shower head
align:start position:0%
then it goes through a shower head
align:start position:0%
then it goes through a shower head
this thing right here is typically
align:start position:0%
this thing right here is typically
align:start position:0%
this thing right here is typically
referred to as a shower head
align:start position:0%
referred to as a shower head
align:start position:0%
referred to as a shower head
and you can imagine it's basically you
align:start position:0%
and you can imagine it's basically you
align:start position:0%
and you can imagine it's basically you
know like a shower head in your shower
align:start position:0%
know like a shower head in your shower
align:start position:0%
know like a shower head in your shower
it's got holes in it that basically
align:start position:0%
it's got holes in it that basically
align:start position:0%
it's got holes in it that basically
allow the gases to flow through
align:start position:0%
allow the gases to flow through
align:start position:0%
allow the gases to flow through
hopefully in a fairly uniform
align:start position:0%
hopefully in a fairly uniform
align:start position:0%
hopefully in a fairly uniform
distribution
align:start position:0%
distribution
align:start position:0%
distribution
across the surface of the wafer
align:start position:0%
across the surface of the wafer
align:start position:0%
across the surface of the wafer
and then there's a vacuum control and a
align:start position:0%
and then there's a vacuum control and a
align:start position:0%
and then there's a vacuum control and a
number of different vacuum outlets
align:start position:0%
number of different vacuum outlets
align:start position:0%
number of different vacuum outlets
for
align:start position:0%
for
align:start position:0%
for
for the for the gases to flow
align:start position:0%
for the for the gases to flow
align:start position:0%
for the for the gases to flow
so some of the key inputs there's lots
align:start position:0%
so some of the key inputs there's lots
align:start position:0%
so some of the key inputs there's lots
and lots of knobs to control on these
align:start position:0%
and lots of knobs to control on these
align:start position:0%
and lots of knobs to control on these
equipment
align:start position:0%
equipment
align:start position:0%
equipment
some of the key inputs that are used in
align:start position:0%
some of the key inputs that are used in
align:start position:0%
some of the key inputs that are used in
this study
align:start position:0%
this study
align:start position:0%
this study
in the paper that we're looking at are
align:start position:0%
in the paper that we're looking at are
align:start position:0%
in the paper that we're looking at are
gap space temperature h2 pressure and
align:start position:0%
gap space temperature h2 pressure and
align:start position:0%
gap space temperature h2 pressure and
wf6
align:start position:0%
wf6
align:start position:0%
wf6
pressure so the gap space refers to
align:start position:0%
pressure so the gap space refers to
align:start position:0%
pressure so the gap space refers to
i believe essentially the height of this
align:start position:0%
i believe essentially the height of this
align:start position:0%
i believe essentially the height of this
deceptor one can play with the distance
align:start position:0%
deceptor one can play with the distance
align:start position:0%
deceptor one can play with the distance
between the gas inflow and the wafer
align:start position:0%
between the gas inflow and the wafer
align:start position:0%
between the gas inflow and the wafer
moving it between say two to four or
align:start position:0%
moving it between say two to four or
align:start position:0%
moving it between say two to four or
five inches
align:start position:0%
five inches
align:start position:0%
five inches
and that changes a number of the plasma
align:start position:0%
and that changes a number of the plasma
align:start position:0%
and that changes a number of the plasma
characteristics it changes perhaps some
align:start position:0%
characteristics it changes perhaps some
align:start position:0%
characteristics it changes perhaps some
of the gas flow characteristics may also
align:start position:0%
of the gas flow characteristics may also
align:start position:0%
of the gas flow characteristics may also
change some of the thermal
align:start position:0%
change some of the thermal
align:start position:0%
change some of the thermal
characteristics so it is a control
align:start position:0%
characteristics so it is a control
align:start position:0%
characteristics so it is a control
parameter that is not entirely obvious
align:start position:0%
parameter that is not entirely obvious
align:start position:0%
parameter that is not entirely obvious
up front how it affects the growth of or
align:start position:0%
up front how it affects the growth of or
align:start position:0%
up front how it affects the growth of or
deposition of this this tungsten so
align:start position:0%
deposition of this this tungsten so
align:start position:0%
deposition of this this tungsten so
that's going to be one of the parameters
align:start position:0%
that's going to be one of the parameters
align:start position:0%
that's going to be one of the parameters
that needs to be empirically
align:start position:0%
that needs to be empirically
align:start position:0%
that needs to be empirically
studied
align:start position:0%
studied
align:start position:0%
studied
certainly temperature is going to have a
align:start position:0%
certainly temperature is going to have a
align:start position:0%
certainly temperature is going to have a
very strong effect
align:start position:0%
very strong effect
align:start position:0%
very strong effect
in this process on things like uh growth
align:start position:0%
in this process on things like uh growth
align:start position:0%
in this process on things like uh growth
rate perhaps also
align:start position:0%
rate perhaps also
align:start position:0%
rate perhaps also
the surface morphology or the roughness
align:start position:0%
the surface morphology or the roughness
align:start position:0%
the surface morphology or the roughness
of the film the amount of incorporation
align:start position:0%
of the film the amount of incorporation
align:start position:0%
of the film the amount of incorporation
of tungsten and the ultimate resistivity
align:start position:0%
of tungsten and the ultimate resistivity
align:start position:0%
of tungsten and the ultimate resistivity
of the film those sorts of parameters
align:start position:0%
of the film those sorts of parameters
align:start position:0%
of the film those sorts of parameters
and then both hydrogen and tungsten
align:start position:0%
and then both hydrogen and tungsten
align:start position:0%
and then both hydrogen and tungsten
hexafluoride
align:start position:0%
hexafluoride
align:start position:0%
hexafluoride
gas flow pressures will also be
align:start position:0%
align:start position:0%
clearly
align:start position:0%
clearly
align:start position:0%
clearly
of influence in
align:start position:0%
of influence in
align:start position:0%
of influence in
rate resistivity and so on
align:start position:0%
rate resistivity and so on
align:start position:0%
rate resistivity and so on
so this is kind of a neat paper because
align:start position:0%
so this is kind of a neat paper because
align:start position:0%
so this is kind of a neat paper because
they actually are measuring about eight
align:start position:0%
they actually are measuring about eight
align:start position:0%
they actually are measuring about eight
different parameters
align:start position:0%
different parameters
align:start position:0%
different parameters
and modeling each of them
align:start position:0%
and modeling each of them
align:start position:0%
and modeling each of them
so it's kind of a four input eight
align:start position:0%
so it's kind of a four input eight
align:start position:0%
so it's kind of a four input eight
output uh kind of doe so just to go
align:start position:0%
output uh kind of doe so just to go
align:start position:0%
output uh kind of doe so just to go
through some of these parameters many of
align:start position:0%
through some of these parameters many of
align:start position:0%
through some of these parameters many of
them are pretty obvious but a couple of
align:start position:0%
them are pretty obvious but a couple of
align:start position:0%
them are pretty obvious but a couple of
them i want to explain a little bit more
align:start position:0%
them i want to explain a little bit more
align:start position:0%
them i want to explain a little bit more
so that you
align:start position:0%
so that you
align:start position:0%
so that you
have have a good feel for what they are
align:start position:0%
have have a good feel for what they are
align:start position:0%
have have a good feel for what they are
deposition rate i think that's pretty
align:start position:0%
deposition rate i think that's pretty
align:start position:0%
deposition rate i think that's pretty
obvious
align:start position:0%
obvious
align:start position:0%
obvious
generally you would like to have a
align:start position:0%
generally you would like to have a
align:start position:0%
generally you would like to have a
fairly high rate
align:start position:0%
fairly high rate
align:start position:0%
fairly high rate
it's going to you know make the process
align:start position:0%
it's going to you know make the process
align:start position:0%
it's going to you know make the process
time as short as possible
align:start position:0%
time as short as possible
align:start position:0%
time as short as possible
efficiency in the tool use and so on
align:start position:0%
efficiency in the tool use and so on
align:start position:0%
efficiency in the tool use and so on
the paper mentions wanting to have about
align:start position:0%
the paper mentions wanting to have about
align:start position:0%
the paper mentions wanting to have about
500 nanometers and minute
align:start position:0%
500 nanometers and minute
align:start position:0%
500 nanometers and minute
type type rates
align:start position:0%
type type rates
align:start position:0%
type type rates
with these processes
align:start position:0%
with these processes
align:start position:0%
with these processes
the resistivity value
align:start position:0%
the resistivity value
align:start position:0%
the resistivity value
or row here
align:start position:0%
or row here
align:start position:0%
or row here
generally you kind of want a low
align:start position:0%
generally you kind of want a low
align:start position:0%
generally you kind of want a low
resistance or a low resistivity film
align:start position:0%
resistance or a low resistivity film
align:start position:0%
resistance or a low resistivity film
an interesting twist here is depending
align:start position:0%
an interesting twist here is depending
align:start position:0%
an interesting twist here is depending
on the application
align:start position:0%
on the application
align:start position:0%
on the application
that's
align:start position:0%
that's
align:start position:0%
that's
the actual resistivity you want and
align:start position:0%
the actual resistivity you want and
align:start position:0%
the actual resistivity you want and
whether it's all that low
align:start position:0%
whether it's all that low
align:start position:0%
whether it's all that low
actually changes
align:start position:0%
actually changes
align:start position:0%
actually changes
so for example if you're using it as a
align:start position:0%
so for example if you're using it as a
align:start position:0%
so for example if you're using it as a
short run metal wire
align:start position:0%
short run metal wire
align:start position:0%
short run metal wire
pretty much all the time low resistance
align:start position:0%
pretty much all the time low resistance
align:start position:0%
pretty much all the time low resistance
is important
align:start position:0%
is important
align:start position:0%
is important
but it turns out interestingly when you
align:start position:0%
but it turns out interestingly when you
align:start position:0%
but it turns out interestingly when you
use tungsten plugs in conjunction with
align:start position:0%
use tungsten plugs in conjunction with
align:start position:0%
use tungsten plugs in conjunction with
aluminum layers you may actually want
align:start position:0%
aluminum layers you may actually want
align:start position:0%
aluminum layers you may actually want
the tungsten plug to be a little bit
align:start position:0%
the tungsten plug to be a little bit
align:start position:0%
the tungsten plug to be a little bit
higher resistance than the aluminum
align:start position:0%
higher resistance than the aluminum
align:start position:0%
higher resistance than the aluminum
itself so that because it's a very small
align:start position:0%
itself so that because it's a very small
align:start position:0%
itself so that because it's a very small
constrained
align:start position:0%
constrained
align:start position:0%
constrained
spatial area
align:start position:0%
spatial area
align:start position:0%
spatial area
the higher resistance
align:start position:0%
the higher resistance
align:start position:0%
the higher resistance
causes the current flow to spread out a
align:start position:0%
causes the current flow to spread out a
align:start position:0%
causes the current flow to spread out a
little bit more uniformly and actually
align:start position:0%
little bit more uniformly and actually
align:start position:0%
little bit more uniformly and actually
improves the reliability of these
align:start position:0%
improves the reliability of these
align:start position:0%
improves the reliability of these
tungsten plugs
align:start position:0%
tungsten plugs
align:start position:0%
tungsten plugs
so you'd actually like to understand
align:start position:0%
so you'd actually like to understand
align:start position:0%
so you'd actually like to understand
what the resistance is and be able to
align:start position:0%
what the resistance is and be able to
align:start position:0%
what the resistance is and be able to
tune that in so that's going to motivate
align:start position:0%
tune that in so that's going to motivate
align:start position:0%
tune that in so that's going to motivate
some of some of the modeling that that's
align:start position:0%
some of some of the modeling that that's
align:start position:0%
some of some of the modeling that that's
done here it's not always purely a lower
align:start position:0%
done here it's not always purely a lower
align:start position:0%
done here it's not always purely a lower
resistance is better
align:start position:0%
align:start position:0%
rs uniformity refers to sheet resistance
align:start position:0%
rs uniformity refers to sheet resistance
align:start position:0%
rs uniformity refers to sheet resistance
uniformity this is the
align:start position:0%
uniformity this is the
align:start position:0%
uniformity this is the
ohms per square
align:start position:0%
ohms per square
align:start position:0%
ohms per square
of of sheet resistance or
align:start position:0%
of of sheet resistance or
align:start position:0%
of of sheet resistance or
but then a uniformity number calculated
align:start position:0%
but then a uniformity number calculated
align:start position:0%
but then a uniformity number calculated
for that measured sheet resistance
align:start position:0%
for that measured sheet resistance
align:start position:0%
for that measured sheet resistance
across the entire wafer and so you want
align:start position:0%
across the entire wafer and so you want
align:start position:0%
across the entire wafer and so you want
a very good uniformity the three percent
align:start position:0%
a very good uniformity the three percent
align:start position:0%
a very good uniformity the three percent
non-uniformity number is the deviation
align:start position:0%
non-uniformity number is the deviation
align:start position:0%
non-uniformity number is the deviation
percentage deviation of the thickness
align:start position:0%
percentage deviation of the thickness
align:start position:0%
percentage deviation of the thickness
sort of one standard deviation over mean
align:start position:0%
sort of one standard deviation over mean
align:start position:0%
sort of one standard deviation over mean
is what they're referring to in here i
align:start position:0%
is what they're referring to in here i
align:start position:0%
is what they're referring to in here i
believe for this uniformity
align:start position:0%
believe for this uniformity
align:start position:0%
believe for this uniformity
and again one of the motivations there
align:start position:0%
and again one of the motivations there
align:start position:0%
and again one of the motivations there
is that
align:start position:0%
is that
align:start position:0%
is that
uniformity in
align:start position:0%
uniformity in
align:start position:0%
uniformity in
the plasma etch back you want to avoid
align:start position:0%
the plasma etch back you want to avoid
align:start position:0%
the plasma etch back you want to avoid
recess of these plugs in some region
align:start position:0%
recess of these plugs in some region
align:start position:0%
recess of these plugs in some region
which can make it difficult for the
align:start position:0%
which can make it difficult for the
align:start position:0%
which can make it difficult for the
subsequent aluminum to reach down in and
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subsequent aluminum to reach down in and
align:start position:0%
subsequent aluminum to reach down in and
actually contact
align:start position:0%
actually contact
align:start position:0%
actually contact
those recessed plugs
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those recessed plugs
align:start position:0%
those recessed plugs
okay
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okay
align:start position:0%
okay
uh film stress is another important uh
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uh film stress is another important uh
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uh film stress is another important uh
parameter
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parameter
align:start position:0%
parameter
let me see if i've got other slides on
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let me see if i've got other slides on
align:start position:0%
let me see if i've got other slides on
that
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that
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that
nope not much
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align:start position:0%
essentially the uh
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essentially the uh
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essentially the uh
there is a volumetric mismatch to the
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there is a volumetric mismatch to the
align:start position:0%
there is a volumetric mismatch to the
deposited tungsten compared to the
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deposited tungsten compared to the
align:start position:0%
deposited tungsten compared to the
underlying silicon substrate uh wafer
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underlying silicon substrate uh wafer
align:start position:0%
underlying silicon substrate uh wafer
and in fact what you typically find is
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and in fact what you typically find is
align:start position:0%
and in fact what you typically find is
that the wafer will undergo
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that the wafer will undergo
align:start position:0%
that the wafer will undergo
or be in tensile stress so basically
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or be in tensile stress so basically
align:start position:0%
or be in tensile stress so basically
there's more volume in the deposited
align:start position:0%
there's more volume in the deposited
align:start position:0%
there's more volume in the deposited
film
align:start position:0%
film
align:start position:0%
film
and it's
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and it's
align:start position:0%
and it's
causing
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causing
align:start position:0%
causing
a thick a you know a a
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a thick a you know a a
align:start position:0%
a thick a you know a a
layer depending on the thickness of of
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layer depending on the thickness of of
align:start position:0%
layer depending on the thickness of of
the layer in fact in the in the design
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the layer in fact in the in the design
align:start position:0%
the layer in fact in the in the design
they're talking about two different
align:start position:0%
they're talking about two different
align:start position:0%
they're talking about two different
thicknesses that they explore that
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thicknesses that they explore that
align:start position:0%
thicknesses that they explore that
causes the wafer to bow
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causes the wafer to bow
align:start position:0%
causes the wafer to bow
so i've got a
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so i've got a
align:start position:0%
so i've got a
film that wants to spread out a little
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film that wants to spread out a little
align:start position:0%
film that wants to spread out a little
bit more
align:start position:0%
bit more
align:start position:0%
bit more
especially at lower temperature compared
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especially at lower temperature compared
align:start position:0%
especially at lower temperature compared
to the temperature of processing
align:start position:0%
to the temperature of processing
align:start position:0%
to the temperature of processing
and that wafer bow is a nice indicator
align:start position:0%
and that wafer bow is a nice indicator
align:start position:0%
and that wafer bow is a nice indicator
of intrinsic internal stress in those
align:start position:0%
of intrinsic internal stress in those
align:start position:0%
of intrinsic internal stress in those
films
align:start position:0%
films
align:start position:0%
films
in general you don't want stress
align:start position:0%
in general you don't want stress
align:start position:0%
in general you don't want stress
mismatches between different layers on
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mismatches between different layers on
align:start position:0%
mismatches between different layers on
your wafer
align:start position:0%
your wafer
align:start position:0%
your wafer
because that means there's sort of this
align:start position:0%
because that means there's sort of this
align:start position:0%
because that means there's sort of this
excess energy around that would like to
align:start position:0%
excess energy around that would like to
align:start position:0%
excess energy around that would like to
release itself and one way it releases
align:start position:0%
release itself and one way it releases
align:start position:0%
release itself and one way it releases
itself is by having those layers
align:start position:0%
itself is by having those layers
align:start position:0%
itself is by having those layers
delaminate
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delaminate
align:start position:0%
delaminate
okay so a reliability concern
align:start position:0%
okay so a reliability concern
align:start position:0%
okay so a reliability concern
is to try to avoid very high stresses
align:start position:0%
is to try to avoid very high stresses
align:start position:0%
is to try to avoid very high stresses
in order to support subsequent
align:start position:0%
in order to support subsequent
align:start position:0%
in order to support subsequent
processing and long-term reliability
align:start position:0%
processing and long-term reliability
align:start position:0%
processing and long-term reliability
of the material on the wafer
align:start position:0%
of the material on the wafer
align:start position:0%
of the material on the wafer
okay so they're making some measurements
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okay so they're making some measurements
align:start position:0%
okay so they're making some measurements
of film stress in fact the way they make
align:start position:0%
of film stress in fact the way they make
align:start position:0%
of film stress in fact the way they make
this measurement i believe if i remember
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this measurement i believe if i remember
align:start position:0%
this measurement i believe if i remember
right is they measure the wafer bow
align:start position:0%
right is they measure the wafer bow
align:start position:0%
right is they measure the wafer bow
and then based on
align:start position:0%
and then based on
align:start position:0%
and then based on
assumed numbers for the modulus
align:start position:0%
assumed numbers for the modulus
align:start position:0%
assumed numbers for the modulus
the young's modulus
align:start position:0%
the young's modulus
align:start position:0%
the young's modulus
and perhaps the thickness they may
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and perhaps the thickness they may
align:start position:0%
and perhaps the thickness they may
measure the thickness separately
align:start position:0%
measure the thickness separately
align:start position:0%
measure the thickness separately
they basically calculate or or estimate
align:start position:0%
they basically calculate or or estimate
align:start position:0%
they basically calculate or or estimate
what the film stress stress
align:start position:0%
align:start position:0%
in some sense at whatever temperature
align:start position:0%
in some sense at whatever temperature
align:start position:0%
in some sense at whatever temperature
you're you're doing if you could deposit
align:start position:0%
you're you're doing if you could deposit
align:start position:0%
you're you're doing if you could deposit
the film and keep the wafer at 300
align:start position:0%
the film and keep the wafer at 300
align:start position:0%
the film and keep the wafer at 300
degrees or 100 whatever it is
align:start position:0%
degrees or 100 whatever it is
align:start position:0%
degrees or 100 whatever it is
at that point in time i don't believe
align:start position:0%
at that point in time i don't believe
align:start position:0%
at that point in time i don't believe
the wafer undergoes or experiences much
align:start position:0%
the wafer undergoes or experiences much
align:start position:0%
the wafer undergoes or experiences much
stress during this deposition but then
align:start position:0%
stress during this deposition but then
align:start position:0%
stress during this deposition but then
it's a
align:start position:0%
it's a
align:start position:0%
it's a
temperature expansion difference
align:start position:0%
temperature expansion difference
align:start position:0%
temperature expansion difference
i'm not entirely sure of that it's
align:start position:0%
i'm not entirely sure of that it's
align:start position:0%
i'm not entirely sure of that it's
possible that the simple incorporation
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possible that the simple incorporation
align:start position:0%
possible that the simple incorporation
at the time
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at the time
align:start position:0%
at the time
of deposition
align:start position:0%
of deposition
align:start position:0%
of deposition
also has some stress but really we're
align:start position:0%
also has some stress but really we're
align:start position:0%
also has some stress but really we're
talking about intrinsic stress that our
align:start position:0%
talking about intrinsic stress that our
align:start position:0%
talking about intrinsic stress that our
extrinsic stress that
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extrinsic stress that
align:start position:0%
extrinsic stress that
remains at the end of into processing
align:start position:0%
align:start position:0%
know any more on that hayden
align:start position:0%
align:start position:0%
i mean there are there are situations
align:start position:0%
i mean there are there are situations
align:start position:0%
i mean there are there are situations
where
align:start position:0%
where
align:start position:0%
where
you're depositing
align:start position:0%
you're depositing
align:start position:0%
you're depositing
you know an epitaxial layer of say a
align:start position:0%
you know an epitaxial layer of say a
align:start position:0%
you know an epitaxial layer of say a
semiconductor
align:start position:0%
semiconductor
align:start position:0%
semiconductor
where that has a very clearly defined
align:start position:0%
where that has a very clearly defined
align:start position:0%
where that has a very clearly defined
lattice whose pitch is mismatched with
align:start position:0%
lattice whose pitch is mismatched with
align:start position:0%
lattice whose pitch is mismatched with
the substrate underneath in that case
align:start position:0%
the substrate underneath in that case
align:start position:0%
the substrate underneath in that case
you know there's i guess a definite
align:start position:0%
you know there's i guess a definite
align:start position:0%
you know there's i guess a definite
uh
align:start position:0%
uh
align:start position:0%
uh
definite built-in stress that's going to
align:start position:0%
definite built-in stress that's going to
align:start position:0%
definite built-in stress that's going to
result in that deposition that isn't
align:start position:0%
result in that deposition that isn't
align:start position:0%
result in that deposition that isn't
connected with thermal contraction but i
align:start position:0%
connected with thermal contraction but i
align:start position:0%
connected with thermal contraction but i
would have thought
align:start position:0%
would have thought
align:start position:0%
would have thought
in this situation
align:start position:0%
in this situation
align:start position:0%
in this situation
it's mostly
align:start position:0%
it's mostly
align:start position:0%
it's mostly
it's mostly to do with
align:start position:0%
it's mostly to do with
align:start position:0%
it's mostly to do with
you know the presence of impurities
align:start position:0%
you know the presence of impurities
align:start position:0%
you know the presence of impurities
changing the cte of the deposited life
align:start position:0%
changing the cte of the deposited life
align:start position:0%
changing the cte of the deposited life
that
align:start position:0%
that
align:start position:0%
that
stretch
align:start position:0%
align:start position:0%
good
align:start position:0%
align:start position:0%
the fifth parameter that they measure
align:start position:0%
the fifth parameter that they measure
align:start position:0%
the fifth parameter that they measure
and model is step coverage and so here
align:start position:0%
and model is step coverage and so here
align:start position:0%
and model is step coverage and so here
that refers to
align:start position:0%
that refers to
align:start position:0%
that refers to
essentially how good the deposition
align:start position:0%
essentially how good the deposition
align:start position:0%
essentially how good the deposition
process is
align:start position:0%
process is
align:start position:0%
process is
right here
align:start position:0%
right here
align:start position:0%
right here
in filling
align:start position:0%
in filling
align:start position:0%
in filling
filling these features now if all of
align:start position:0%
filling these features now if all of
align:start position:0%
filling these features now if all of
your features are exactly the same size
align:start position:0%
your features are exactly the same size
align:start position:0%
your features are exactly the same size
then that's that's a little bit easier
align:start position:0%
then that's that's a little bit easier
align:start position:0%
then that's that's a little bit easier
so if all you're doing is filling
align:start position:0%
so if all you're doing is filling
align:start position:0%
so if all you're doing is filling
contacts of exactly the same size
align:start position:0%
contacts of exactly the same size
align:start position:0%
contacts of exactly the same size
then you've got a nice well-defined
align:start position:0%
then you've got a nice well-defined
align:start position:0%
then you've got a nice well-defined
number for step coverage and that's
align:start position:0%
number for step coverage and that's
align:start position:0%
number for step coverage and that's
really what they're doing in this
align:start position:0%
really what they're doing in this
align:start position:0%
really what they're doing in this
application but i should mention that
align:start position:0%
application but i should mention that
align:start position:0%
application but i should mention that
these kind of conformal depositions can
align:start position:0%
these kind of conformal depositions can
align:start position:0%
these kind of conformal depositions can
actually be a very strong challenge for
align:start position:0%
actually be a very strong challenge for
align:start position:0%
actually be a very strong challenge for
dealing with patterns or features of
align:start position:0%
dealing with patterns or features of
align:start position:0%
dealing with patterns or features of
different sizes so you can imagine for
align:start position:0%
different sizes so you can imagine for
align:start position:0%
different sizes so you can imagine for
example
align:start position:0%
example
align:start position:0%
example
having some contacts here
align:start position:0%
having some contacts here
align:start position:0%
having some contacts here
having some structures that might in
align:start position:0%
having some structures that might in
align:start position:0%
having some structures that might in
fact be lines then having some other
align:start position:0%
fact be lines then having some other
align:start position:0%
fact be lines then having some other
structures that are in fact very wide
align:start position:0%
structures that are in fact very wide
align:start position:0%
structures that are in fact very wide
lines
align:start position:0%
lines
align:start position:0%
lines
and now if i can formally fill i might
align:start position:0%
and now if i can formally fill i might
align:start position:0%
and now if i can formally fill i might
be able to fill the narrow structures
align:start position:0%
align:start position:0%
but the wider ones will not necessarily
align:start position:0%
but the wider ones will not necessarily
align:start position:0%
but the wider ones will not necessarily
fill completely i won't have excellent
align:start position:0%
fill completely i won't have excellent
align:start position:0%
fill completely i won't have excellent
excellent step coverage now i believe
align:start position:0%
excellent step coverage now i believe
align:start position:0%
excellent step coverage now i believe
what they're doing in this
align:start position:0%
what they're doing in this
align:start position:0%
what they're doing in this
in this
align:start position:0%
in this
align:start position:0%
in this
paper
align:start position:0%
paper
align:start position:0%
paper
is really just looking locally
align:start position:0%
is really just looking locally
align:start position:0%
is really just looking locally
after the deposition and looking to see
align:start position:0%
after the deposition and looking to see
align:start position:0%
after the deposition and looking to see
sort of what percentage of volume
align:start position:0%
sort of what percentage of volume
align:start position:0%
sort of what percentage of volume
is missing in that little in that little
align:start position:0%
is missing in that little in that little
align:start position:0%
is missing in that little in that little
uh indentation resulting from the
align:start position:0%
uh indentation resulting from the
align:start position:0%
uh indentation resulting from the
conformal deposition and looking for
align:start position:0%
conformal deposition and looking for
align:start position:0%
conformal deposition and looking for
fairly high near 100
align:start position:0%
fairly high near 100
align:start position:0%
fairly high near 100
step coverage so that there's not a
align:start position:0%
step coverage so that there's not a
align:start position:0%
step coverage so that there's not a
missing percentage
align:start position:0%
missing percentage
align:start position:0%
missing percentage
of the feature
align:start position:0%
of the feature
align:start position:0%
of the feature
compared to say
align:start position:0%
compared to say
align:start position:0%
compared to say
one of these large structures that might
align:start position:0%
one of these large structures that might
align:start position:0%
one of these large structures that might
have a very high missing missing volume
align:start position:0%
have a very high missing missing volume
align:start position:0%
have a very high missing missing volume
generally they're able to achieve fairly
align:start position:0%
generally they're able to achieve fairly
align:start position:0%
generally they're able to achieve fairly
high
align:start position:0%
high
align:start position:0%
high
step coverages so that's not one of the
align:start position:0%
step coverages so that's not one of the
align:start position:0%
step coverages so that's not one of the
critical critical output parameters in
align:start position:0%
critical critical output parameters in
align:start position:0%
critical critical output parameters in
this process
align:start position:0%
this process
align:start position:0%
this process
now also shown on this this picture and
align:start position:0%
now also shown on this this picture and
align:start position:0%
now also shown on this this picture and
maybe a little bit hard for you to see
align:start position:0%
maybe a little bit hard for you to see
align:start position:0%
maybe a little bit hard for you to see
it's also in the paper but on the right
align:start position:0%
it's also in the paper but on the right
align:start position:0%
it's also in the paper but on the right
you see a
align:start position:0%
you see a
align:start position:0%
you see a
top-down photograph or or sem micrograph
align:start position:0%
top-down photograph or or sem micrograph
align:start position:0%
top-down photograph or or sem micrograph
of the surface structure and it gives
align:start position:0%
of the surface structure and it gives
align:start position:0%
of the surface structure and it gives
you a sense a little bit of two things
align:start position:0%
you a sense a little bit of two things
align:start position:0%
you a sense a little bit of two things
one is there's a lot of surface
align:start position:0%
one is there's a lot of surface
align:start position:0%
one is there's a lot of surface
morphology going on
align:start position:0%
morphology going on
align:start position:0%
morphology going on
surface roughness but the other basic
align:start position:0%
surface roughness but the other basic
align:start position:0%
surface roughness but the other basic
thing that happens is as you're
align:start position:0%
thing that happens is as you're
align:start position:0%
thing that happens is as you're
depositing these uh
align:start position:0%
depositing these uh
align:start position:0%
depositing these uh
these materials they are lining up in
align:start position:0%
these materials they are lining up in
align:start position:0%
these materials they are lining up in
sort of a polycrystalline kind of kind
align:start position:0%
sort of a polycrystalline kind of kind
align:start position:0%
sort of a polycrystalline kind of kind
of way you do get some local
align:start position:0%
of way you do get some local
align:start position:0%
of way you do get some local
self-organization you can see that also
align:start position:0%
self-organization you can see that also
align:start position:0%
self-organization you can see that also
over here on the on the left side if you
align:start position:0%
over here on the on the left side if you
align:start position:0%
over here on the on the left side if you
kind of see there's little crystals or
align:start position:0%
kind of see there's little crystals or
align:start position:0%
kind of see there's little crystals or
little threads or
align:start position:0%
little threads or
align:start position:0%
little threads or
and in here you can see
align:start position:0%
and in here you can see
align:start position:0%
and in here you can see
see a little bit of the polycrystalline
align:start position:0%
see a little bit of the polycrystalline
align:start position:0%
see a little bit of the polycrystalline
structure and that's actually one of the
align:start position:0%
structure and that's actually one of the
align:start position:0%
structure and that's actually one of the
things that gives that surface roughness
align:start position:0%
things that gives that surface roughness
align:start position:0%
things that gives that surface roughness
it's not surface roughness on the atom
align:start position:0%
it's not surface roughness on the atom
align:start position:0%
it's not surface roughness on the atom
by atom level it's really these
align:start position:0%
by atom level it's really these
align:start position:0%
by atom level it's really these
preferential growth directions in some
align:start position:0%
preferential growth directions in some
align:start position:0%
preferential growth directions in some
of these some of these grains if you
align:start position:0%
of these some of these grains if you
align:start position:0%
of these some of these grains if you
will
align:start position:0%
will
align:start position:0%
will
as as they're growing
align:start position:0%
as as they're growing
align:start position:0%
as as they're growing
okay
align:start position:0%
align:start position:0%
uh
align:start position:0%
uh
align:start position:0%
uh
only two or three more parameters here
align:start position:0%
only two or three more parameters here
align:start position:0%
only two or three more parameters here
another one and this is kind of neat i
align:start position:0%
another one and this is kind of neat i
align:start position:0%
another one and this is kind of neat i
think because it's a
align:start position:0%
think because it's a
align:start position:0%
think because it's a
nice parameter that contrasts with the
align:start position:0%
nice parameter that contrasts with the
align:start position:0%
nice parameter that contrasts with the
other ones the other ones are let's see
align:start position:0%
other ones the other ones are let's see
align:start position:0%
other ones the other ones are let's see
most of these things like step coverage
align:start position:0%
most of these things like step coverage
align:start position:0%
most of these things like step coverage
film stress uniformity resistance
align:start position:0%
film stress uniformity resistance
align:start position:0%
film stress uniformity resistance
uniformity those are parameters of the
align:start position:0%
uniformity those are parameters of the
align:start position:0%
uniformity those are parameters of the
final wafer or the intermediate wafer
align:start position:0%
final wafer or the intermediate wafer
align:start position:0%
final wafer or the intermediate wafer
state that you want to achieve
align:start position:0%
state that you want to achieve
align:start position:0%
state that you want to achieve
deposition rate and wf6 conversion are
align:start position:0%
deposition rate and wf6 conversion are
align:start position:0%
deposition rate and wf6 conversion are
both more manufacturing parameters
align:start position:0%
both more manufacturing parameters
align:start position:0%
both more manufacturing parameters
in some sense they don't really matter
align:start position:0%
in some sense they don't really matter
align:start position:0%
in some sense they don't really matter
to the final wafer product but they can
align:start position:0%
to the final wafer product but they can
align:start position:0%
to the final wafer product but they can
matter a great deal for the cost
align:start position:0%
matter a great deal for the cost
align:start position:0%
matter a great deal for the cost
efficiency or the time efficiency of the
align:start position:0%
efficiency or the time efficiency of the
align:start position:0%
efficiency or the time efficiency of the
process
align:start position:0%
process
align:start position:0%
process
so wf6 conversion is what percentage of
align:start position:0%
so wf6 conversion is what percentage of
align:start position:0%
so wf6 conversion is what percentage of
the incoming
align:start position:0%
the incoming
align:start position:0%
the incoming
gas is actually resulting in
align:start position:0%
gas is actually resulting in
align:start position:0%
gas is actually resulting in
the deposited film so you might have
align:start position:0%
the deposited film so you might have
align:start position:0%
the deposited film so you might have
uh only you know one percent of the
align:start position:0%
uh only you know one percent of the
align:start position:0%
uh only you know one percent of the
tungsten
align:start position:0%
align:start position:0%
going on to the wafer and 99 percent
align:start position:0%
going on to the wafer and 99 percent
align:start position:0%
going on to the wafer and 99 percent
going out the exhaust pipe
align:start position:0%
going out the exhaust pipe
align:start position:0%
going out the exhaust pipe
that's terrible waste they have some
align:start position:0%
that's terrible waste they have some
align:start position:0%
that's terrible waste they have some
environmental implications
align:start position:0%
environmental implications
align:start position:0%
environmental implications
but it also uh has a lot of cost
align:start position:0%
but it also uh has a lot of cost
align:start position:0%
but it also uh has a lot of cost
implications because tungsten
align:start position:0%
implications because tungsten
align:start position:0%
implications because tungsten
hexafluoride is not a cheap gas
align:start position:0%
hexafluoride is not a cheap gas
align:start position:0%
hexafluoride is not a cheap gas
you know very very highly purified so i
align:start position:0%
you know very very highly purified so i
align:start position:0%
you know very very highly purified so i
like this paper in terms of they're
align:start position:0%
like this paper in terms of they're
align:start position:0%
like this paper in terms of they're
actually trying to track and keep track
align:start position:0%
actually trying to track and keep track
align:start position:0%
actually trying to track and keep track
of
align:start position:0%
of
align:start position:0%
of
and model
align:start position:0%
and model
align:start position:0%
and model
the ws6 conversion rate and try to
align:start position:0%
the ws6 conversion rate and try to
align:start position:0%
the ws6 conversion rate and try to
optimize that
align:start position:0%
optimize that
align:start position:0%
optimize that
parameter also
align:start position:0%
parameter also
align:start position:0%
parameter also
then finally a couple more
align:start position:0%
then finally a couple more
align:start position:0%
then finally a couple more
parameters here reflectance is basically
align:start position:0%
parameters here reflectance is basically
align:start position:0%
parameters here reflectance is basically
an optical reflectance uh percentage
align:start position:0%
an optical reflectance uh percentage
align:start position:0%
an optical reflectance uh percentage
light reflected uh kind of measurement
align:start position:0%
light reflected uh kind of measurement
align:start position:0%
light reflected uh kind of measurement
uh of the surface
align:start position:0%
uh of the surface
align:start position:0%
uh of the surface
topography so that's how they're trying
align:start position:0%
topography so that's how they're trying
align:start position:0%
topography so that's how they're trying
to estimate or correlate to the
align:start position:0%
to estimate or correlate to the
align:start position:0%
to estimate or correlate to the
roughness of the surface film
align:start position:0%
roughness of the surface film
align:start position:0%
roughness of the surface film
and then finally another manufacturing
align:start position:0%
and then finally another manufacturing
align:start position:0%
and then finally another manufacturing
parameter is
align:start position:0%
parameter is
align:start position:0%
parameter is
reproducibility not just wafer
align:start position:0%
reproducibility not just wafer
align:start position:0%
reproducibility not just wafer
uniformity
align:start position:0%
uniformity
align:start position:0%
uniformity
you know wait for one one wafer at a
align:start position:0%
you know wait for one one wafer at a
align:start position:0%
you know wait for one one wafer at a
time but wait for it to wait for
align:start position:0%
time but wait for it to wait for
align:start position:0%
time but wait for it to wait for
repeatability or reproducibility of the
align:start position:0%
repeatability or reproducibility of the
align:start position:0%
repeatability or reproducibility of the
process so they are actually making in
align:start position:0%
process so they are actually making in
align:start position:0%
process so they are actually making in
this case i think the assumption
align:start position:0%
this case i think the assumption
align:start position:0%
this case i think the assumption
that pretty much all of these processes
align:start position:0%
that pretty much all of these processes
align:start position:0%
that pretty much all of these processes
are
align:start position:0%
align:start position:0%
more or less similarly repeatable but
align:start position:0%
more or less similarly repeatable but
align:start position:0%
more or less similarly repeatable but
they want to estimate how
align:start position:0%
they want to estimate how
align:start position:0%
they want to estimate how
repeatable the process is and we'll see
align:start position:0%
repeatable the process is and we'll see
align:start position:0%
repeatable the process is and we'll see
that in their doe they're going to
align:start position:0%
that in their doe they're going to
align:start position:0%
that in their doe they're going to
basically do some replicates
align:start position:0%
basically do some replicates
align:start position:0%
basically do some replicates
at one of the design points and use that
align:start position:0%
at one of the design points and use that
align:start position:0%
at one of the design points and use that
to estimate reproducibility
align:start position:0%
to estimate reproducibility
align:start position:0%
to estimate reproducibility
so they're not going in and trying to
align:start position:0%
so they're not going in and trying to
align:start position:0%
so they're not going in and trying to
estimate where
align:start position:0%
estimate where
align:start position:0%
estimate where
the noise or the variance is minimum
align:start position:0%
the noise or the variance is minimum
align:start position:0%
the noise or the variance is minimum
across their operating space they're
align:start position:0%
across their operating space they're
align:start position:0%
across their operating space they're
actually assuming that that's
align:start position:0%
actually assuming that that's
align:start position:0%
actually assuming that that's
that
align:start position:0%
that
align:start position:0%
that
similar okay
align:start position:0%
align:start position:0%
so
align:start position:0%
so
align:start position:0%
so
here's what they do in the paper their
align:start position:0%
here's what they do in the paper their
align:start position:0%
here's what they do in the paper their
goals are to build response service
align:start position:0%
goals are to build response service
align:start position:0%
goals are to build response service
models just classic response surface
align:start position:0%
models just classic response surface
align:start position:0%
models just classic response surface
models
align:start position:0%
models
align:start position:0%
models
and then i as i said the reproducibility
align:start position:0%
and then i as i said the reproducibility
align:start position:0%
and then i as i said the reproducibility
is really focused just on the center
align:start position:0%
is really focused just on the center
align:start position:0%
is really focused just on the center
point designs
align:start position:0%
point designs
align:start position:0%
point designs
and applying that throughout the entire
align:start position:0%
and applying that throughout the entire
align:start position:0%
and applying that throughout the entire
space
align:start position:0%
space
align:start position:0%
space
and then they want to use these response
align:start position:0%
and then they want to use these response
align:start position:0%
and then they want to use these response
surface models
align:start position:0%
surface models
align:start position:0%
surface models
they want to qualitatively understand
align:start position:0%
they want to qualitatively understand
align:start position:0%
they want to qualitatively understand
some of the trends
align:start position:0%
some of the trends
align:start position:0%
some of the trends
very good engineering use you know
align:start position:0%
very good engineering use you know
align:start position:0%
very good engineering use you know
trying to understand from an engineering
align:start position:0%
trying to understand from an engineering
align:start position:0%
trying to understand from an engineering
point and then they also want to use
align:start position:0%
point and then they also want to use
align:start position:0%
point and then they also want to use
these models in an optimization
align:start position:0%
these models in an optimization
align:start position:0%
these models in an optimization
kind of loop to try to drive towards
align:start position:0%
kind of loop to try to drive towards
align:start position:0%
kind of loop to try to drive towards
satisfaction of multiple
align:start position:0%
satisfaction of multiple
align:start position:0%
satisfaction of multiple
limits or goals on those
align:start position:0%
limits or goals on those
align:start position:0%
limits or goals on those
what was it seven or eight uh output
align:start position:0%
what was it seven or eight uh output
align:start position:0%
what was it seven or eight uh output
parameters
align:start position:0%
parameters
align:start position:0%
parameters
okay
align:start position:0%
okay
align:start position:0%
okay
now the paper does refer to some prior
align:start position:0%
now the paper does refer to some prior
align:start position:0%
now the paper does refer to some prior
work on screening experiments in fact
align:start position:0%
work on screening experiments in fact
align:start position:0%
work on screening experiments in fact
uh these uh
align:start position:0%
uh these uh
align:start position:0%
uh these uh
precision 5000 tools and most fab tools
align:start position:0%
precision 5000 tools and most fab tools
align:start position:0%
precision 5000 tools and most fab tools
probably have
align:start position:0%
probably have
align:start position:0%
probably have
literally in some cases dozens of
align:start position:0%
literally in some cases dozens of
align:start position:0%
literally in some cases dozens of
control settings some
align:start position:0%
control settings some
align:start position:0%
control settings some
subset of which maybe only
align:start position:0%
subset of which maybe only
align:start position:0%
subset of which maybe only
align:start position:0%
align:start position:0%
are easily settable electronically and
align:start position:0%
are easily settable electronically and
align:start position:0%
are easily settable electronically and
another 15 might be more mechanical or
align:start position:0%
another 15 might be more mechanical or
align:start position:0%
another 15 might be more mechanical or
other you know more permanent
align:start position:0%
other you know more permanent
align:start position:0%
other you know more permanent
adjustments but there's a huge space of
align:start position:0%
adjustments but there's a huge space of
align:start position:0%
adjustments but there's a huge space of
possible parameters the paper just
align:start position:0%
possible parameters the paper just
align:start position:0%
possible parameters the paper just
refers to prior screening experiments to
align:start position:0%
refers to prior screening experiments to
align:start position:0%
refers to prior screening experiments to
narrow down to these four parameters so
align:start position:0%
narrow down to these four parameters so
align:start position:0%
narrow down to these four parameters so
i don't want you to think that they knew
align:start position:0%
i don't want you to think that they knew
align:start position:0%
i don't want you to think that they knew
automatically up front what four
align:start position:0%
automatically up front what four
align:start position:0%
automatically up front what four
parameters they wanted to play with
align:start position:0%
align:start position:0%
there is a reference if you want to go
align:start position:0%
there is a reference if you want to go
align:start position:0%
there is a reference if you want to go
try to track it down further for their
align:start position:0%
try to track it down further for their
align:start position:0%
try to track it down further for their
prior work it's actually in some obscure
align:start position:0%
prior work it's actually in some obscure
align:start position:0%
prior work it's actually in some obscure
conference thing so it's hard to hard to
align:start position:0%
conference thing so it's hard to hard to
align:start position:0%
conference thing so it's hard to hard to
find um
align:start position:0%
find um
align:start position:0%
find um
so the details exactly of what they did
align:start position:0%
so the details exactly of what they did
align:start position:0%
so the details exactly of what they did
in their in their screening are not
align:start position:0%
in their in their screening are not
align:start position:0%
in their in their screening are not
entirely clear but the point is they
align:start position:0%
entirely clear but the point is they
align:start position:0%
entirely clear but the point is they
probably did something like
align:start position:0%
probably did something like
align:start position:0%
probably did something like
a fractional factorial
align:start position:0%
a fractional factorial
align:start position:0%
a fractional factorial
highly fractionalized factorial kind of
align:start position:0%
highly fractionalized factorial kind of
align:start position:0%
highly fractionalized factorial kind of
design
align:start position:0%
design
align:start position:0%
design
to explore the space of just trying to
align:start position:0%
to explore the space of just trying to
align:start position:0%
to explore the space of just trying to
see what parameters are significant what
align:start position:0%
see what parameters are significant what
align:start position:0%
see what parameters are significant what
influence what input parameters
align:start position:0%
influence what input parameters
align:start position:0%
influence what input parameters
influence the outputs that they were
align:start position:0%
influence the outputs that they were
align:start position:0%
influence the outputs that they were
of concern and then narrow that down to
align:start position:0%
of concern and then narrow that down to
align:start position:0%
of concern and then narrow that down to
just these four parameters that they
align:start position:0%
just these four parameters that they
align:start position:0%
just these four parameters that they
wanted to do
align:start position:0%
wanted to do
align:start position:0%
wanted to do
a second set of experiments which is
align:start position:0%
a second set of experiments which is
align:start position:0%
a second set of experiments which is
what's in this in this paper that are
align:start position:0%
what's in this in this paper that are
align:start position:0%
what's in this in this paper that are
focused on response surface modeling
align:start position:0%
focused on response surface modeling
align:start position:0%
focused on response surface modeling
okay
align:start position:0%
okay
align:start position:0%
okay
there's another
align:start position:0%
there's another
align:start position:0%
there's another
interesting subtle point that
align:start position:0%
interesting subtle point that
align:start position:0%
interesting subtle point that
pops up in the in the description of the
align:start position:0%
pops up in the in the description of the
align:start position:0%
pops up in the in the description of the
paper
align:start position:0%
paper
align:start position:0%
paper
some of these parameters things like
align:start position:0%
some of these parameters things like
align:start position:0%
some of these parameters things like
sheet resistance sheet resistance is
align:start position:0%
sheet resistance sheet resistance is
align:start position:0%
sheet resistance sheet resistance is
resistivity
align:start position:0%
resistivity
align:start position:0%
resistivity
uh
align:start position:0%
align:start position:0%
is it divided by
align:start position:0%
is it divided by
align:start position:0%
is it divided by
per square resistivity the the pure
align:start position:0%
per square resistivity the the pure
align:start position:0%
per square resistivity the the pure
resistivity divided by the thickness
align:start position:0%
resistivity divided by the thickness
align:start position:0%
resistivity divided by the thickness
uh of the film
align:start position:0%
uh of the film
align:start position:0%
uh of the film
okay
align:start position:0%
okay
align:start position:0%
okay
so that the thickness of the deposited
align:start position:0%
so that the thickness of the deposited
align:start position:0%
so that the thickness of the deposited
film will change the rs measure
align:start position:0%
film will change the rs measure
align:start position:0%
film will change the rs measure
on the wafer okay
align:start position:0%
on the wafer okay
align:start position:0%
on the wafer okay
what that means is to do a fair
align:start position:0%
what that means is to do a fair
align:start position:0%
what that means is to do a fair
comparison just of truly the resistivity
align:start position:0%
comparison just of truly the resistivity
align:start position:0%
comparison just of truly the resistivity
of the film
align:start position:0%
of the film
align:start position:0%
of the film
and uh or to estimate that you actually
align:start position:0%
and uh or to estimate that you actually
align:start position:0%
and uh or to estimate that you actually
want to grow
align:start position:0%
want to grow
align:start position:0%
want to grow
all of your films to about the same
align:start position:0%
all of your films to about the same
align:start position:0%
all of your films to about the same
thickness
align:start position:0%
thickness
align:start position:0%
thickness
well if the deposition rate is a
align:start position:0%
well if the deposition rate is a
align:start position:0%
well if the deposition rate is a
parameter that you don't necessarily
align:start position:0%
parameter that you don't necessarily
align:start position:0%
parameter that you don't necessarily
know and you're trying to model how do
align:start position:0%
know and you're trying to model how do
align:start position:0%
know and you're trying to model how do
you do that
align:start position:0%
align:start position:0%
so in other words if i run for a fixed
align:start position:0%
so in other words if i run for a fixed
align:start position:0%
so in other words if i run for a fixed
period of time maybe i run for 60
align:start position:0%
period of time maybe i run for 60
align:start position:0%
period of time maybe i run for 60
seconds on each of these design points
align:start position:0%
seconds on each of these design points
align:start position:0%
seconds on each of these design points
but i have deposition rates that are
align:start position:0%
but i have deposition rates that are
align:start position:0%
but i have deposition rates that are
different by a factor of 2 5 10 i'm
align:start position:0%
different by a factor of 2 5 10 i'm
align:start position:0%
different by a factor of 2 5 10 i'm
going to get widely varying thicknesses
align:start position:0%
going to get widely varying thicknesses
align:start position:0%
going to get widely varying thicknesses
and therefore when i make some of these
align:start position:0%
and therefore when i make some of these
align:start position:0%
and therefore when i make some of these
simple sheet resistance measurements
align:start position:0%
simple sheet resistance measurements
align:start position:0%
simple sheet resistance measurements
that's that's going to be very very
align:start position:0%
that's that's going to be very very
align:start position:0%
that's that's going to be very very
tricky
align:start position:0%
tricky
align:start position:0%
tricky
furthermore if if my thickness is
align:start position:0%
furthermore if if my thickness is
align:start position:0%
furthermore if if my thickness is
varying
align:start position:0%
varying
align:start position:0%
varying
that makes it basis for comparison of
align:start position:0%
that makes it basis for comparison of
align:start position:0%
that makes it basis for comparison of
many of these other parameters really
align:start position:0%
many of these other parameters really
align:start position:0%
many of these other parameters really
hard
align:start position:0%
hard
align:start position:0%
hard
how about film stress
align:start position:0%
how about film stress
align:start position:0%
how about film stress
well is it a film stress that i'm seeing
align:start position:0%
well is it a film stress that i'm seeing
align:start position:0%
well is it a film stress that i'm seeing
because of the thickness difference or
align:start position:0%
because of the thickness difference or
align:start position:0%
because of the thickness difference or
is it truly intrinsic film stress in the
align:start position:0%
is it truly intrinsic film stress in the
align:start position:0%
is it truly intrinsic film stress in the
in
align:start position:0%
in
align:start position:0%
in
the layer
align:start position:0%
the layer
align:start position:0%
the layer
so what they've done is been and i think
align:start position:0%
so what they've done is been and i think
align:start position:0%
so what they've done is been and i think
this is very cool they were very careful
align:start position:0%
this is very cool they were very careful
align:start position:0%
this is very cool they were very careful
and they
align:start position:0%
and they
align:start position:0%
and they
say that they are doing this to where
align:start position:0%
say that they are doing this to where
align:start position:0%
say that they are doing this to where
all films are grown to about one micron
align:start position:0%
all films are grown to about one micron
align:start position:0%
all films are grown to about one micron
thickness in this
align:start position:0%
thickness in this
align:start position:0%
thickness in this
doe what's sneaky is i think to actually
align:start position:0%
doe what's sneaky is i think to actually
align:start position:0%
doe what's sneaky is i think to actually
do this
align:start position:0%
do this
align:start position:0%
do this
which is also good because that
align:start position:0%
which is also good because that
align:start position:0%
which is also good because that
is really the the thickness that's close
align:start position:0%
is really the the thickness that's close
align:start position:0%
is really the the thickness that's close
to their target application
align:start position:0%
to their target application
align:start position:0%
to their target application
what's what's a little bit sneaky is to
align:start position:0%
what's what's a little bit sneaky is to
align:start position:0%
what's what's a little bit sneaky is to
do that i think they basically had to do
align:start position:0%
do that i think they basically had to do
align:start position:0%
do that i think they basically had to do
prior runs maybe at each individual voe
align:start position:0%
prior runs maybe at each individual voe
align:start position:0%
prior runs maybe at each individual voe
point
align:start position:0%
point
align:start position:0%
point
to
align:start position:0%
to
align:start position:0%
to
do the run
align:start position:0%
do the run
align:start position:0%
do the run
measure the thickness
align:start position:0%
measure the thickness
align:start position:0%
measure the thickness
estimate the growth rate
align:start position:0%
estimate the growth rate
align:start position:0%
estimate the growth rate
and then adjust the time for the real
align:start position:0%
and then adjust the time for the real
align:start position:0%
and then adjust the time for the real
doe run
align:start position:0%
doe run
align:start position:0%
doe run
on each of the design points so i think
align:start position:0%
on each of the design points so i think
align:start position:0%
on each of the design points so i think
that there's a whole extra duplicate set
align:start position:0%
that there's a whole extra duplicate set
align:start position:0%
that there's a whole extra duplicate set
of experiments that they're not talking
align:start position:0%
of experiments that they're not talking
align:start position:0%
of experiments that they're not talking
about
align:start position:0%
about
align:start position:0%
about
that that that were done in order to be
align:start position:0%
that that that were done in order to be
align:start position:0%
that that that were done in order to be
able to normalize
align:start position:0%
able to normalize
align:start position:0%
able to normalize
and get a very nice
align:start position:0%
and get a very nice
align:start position:0%
and get a very nice
set of experiments in here
align:start position:0%
set of experiments in here
align:start position:0%
set of experiments in here
that they could talk about and be able
align:start position:0%
that they could talk about and be able
align:start position:0%
that they could talk about and be able
to use to use
align:start position:0%
to use to use
align:start position:0%
to use to use
to make the right kinds of optimization
align:start position:0%
to make the right kinds of optimization
align:start position:0%
to make the right kinds of optimization
and judgment
align:start position:0%
and judgment
align:start position:0%
and judgment
so it's kind of an interesting lesson i
align:start position:0%
so it's kind of an interesting lesson i
align:start position:0%
so it's kind of an interesting lesson i
think there may often be additional
align:start position:0%
think there may often be additional
align:start position:0%
think there may often be additional
experimentation around
align:start position:0%
experimentation around
align:start position:0%
experimentation around
your main doe that you have to do in
align:start position:0%
your main doe that you have to do in
align:start position:0%
your main doe that you have to do in
order for your main doe to really be a
align:start position:0%
order for your main doe to really be a
align:start position:0%
order for your main doe to really be a
good clean
align:start position:0%
good clean
align:start position:0%
good clean
doe
align:start position:0%
doe
align:start position:0%
doe
now it's possible that maybe
align:start position:0%
now it's possible that maybe
align:start position:0%
now it's possible that maybe
their screening experiment gave them
align:start position:0%
their screening experiment gave them
align:start position:0%
their screening experiment gave them
some information to be able to do a
align:start position:0%
some information to be able to do a
align:start position:0%
some information to be able to do a
rough estimate a good enough estimate of
align:start position:0%
rough estimate a good enough estimate of
align:start position:0%
rough estimate a good enough estimate of
deposition rate so it's possible they
align:start position:0%
deposition rate so it's possible they
align:start position:0%
deposition rate so it's possible they
were able to get that benefit from from
align:start position:0%
were able to get that benefit from from
align:start position:0%
were able to get that benefit from from
their prior screening doe
align:start position:0%
align:start position:0%
okay here's their experimental design
align:start position:0%
okay here's their experimental design
align:start position:0%
okay here's their experimental design
what they're going to do is a central
align:start position:0%
what they're going to do is a central
align:start position:0%
what they're going to do is a central
composite with five levels
align:start position:0%
composite with five levels
align:start position:0%
composite with five levels
at each
align:start position:0%
at each
align:start position:0%
at each
design point which is pretty cool i
align:start position:0%
design point which is pretty cool i
align:start position:0%
design point which is pretty cool i
think that's better than the three
align:start position:0%
think that's better than the three
align:start position:0%
think that's better than the three
levels
align:start position:0%
levels
align:start position:0%
levels
what's one reason that you might like
align:start position:0%
what's one reason that you might like
align:start position:0%
what's one reason that you might like
five levels
align:start position:0%
five levels
align:start position:0%
five levels
rather than three especially if you want
align:start position:0%
rather than three especially if you want
align:start position:0%
rather than three especially if you want
to build say quadratic response surface
align:start position:0%
to build say quadratic response surface
align:start position:0%
to build say quadratic response surface
models
align:start position:0%
align:start position:0%
we haven't explicitly done this before
align:start position:0%
we haven't explicitly done this before
align:start position:0%
we haven't explicitly done this before
but
align:start position:0%
but
align:start position:0%
but
for example on on on quiz 2
align:start position:0%
for example on on on quiz 2
align:start position:0%
for example on on on quiz 2
you're going from a linear model to a
align:start position:0%
you're going from a linear model to a
align:start position:0%
you're going from a linear model to a
quadratic model and asking questions
align:start position:0%
quadratic model and asking questions
align:start position:0%
quadratic model and asking questions
about lack of fit
align:start position:0%
about lack of fit
align:start position:0%
about lack of fit
in order to say whether a linear model
align:start position:0%
align:start position:0%
had lack of fit i needed a third design
align:start position:0%
had lack of fit i needed a third design
align:start position:0%
had lack of fit i needed a third design
point
align:start position:0%
point
align:start position:0%
point
right so that i could say well
align:start position:0%
right so that i could say well
align:start position:0%
right so that i could say well
does that third design point give me
align:start position:0%
does that third design point give me
align:start position:0%
does that third design point give me
indication that the linear model was not
align:start position:0%
indication that the linear model was not
align:start position:0%
indication that the linear model was not
sufficient if i do three levels
align:start position:0%
sufficient if i do three levels
align:start position:0%
sufficient if i do three levels
and build a quadratic model
align:start position:0%
and build a quadratic model
align:start position:0%
and build a quadratic model
and i want to ask the question is a
align:start position:0%
and i want to ask the question is a
align:start position:0%
and i want to ask the question is a
quadratic model sufficient
align:start position:0%
quadratic model sufficient
align:start position:0%
quadratic model sufficient
or is there lack of fit in the quadratic
align:start position:0%
or is there lack of fit in the quadratic
align:start position:0%
or is there lack of fit in the quadratic
model
align:start position:0%
model
align:start position:0%
model
can i do that
align:start position:0%
can i do that
align:start position:0%
can i do that
with just three
align:start position:0%
with just three
align:start position:0%
with just three
data points
align:start position:0%
align:start position:0%
no right you can fit a quadratic two to
align:start position:0%
no right you can fit a quadratic two to
align:start position:0%
no right you can fit a quadratic two to
three data points so
align:start position:0%
align:start position:0%
you won't detect if there's some other
align:start position:0%
you won't detect if there's some other
align:start position:0%
you won't detect if there's some other
structure going on so in order to be
align:start position:0%
structure going on so in order to be
align:start position:0%
structure going on so in order to be
able to do a lack of fit analysis up to
align:start position:0%
able to do a lack of fit analysis up to
align:start position:0%
able to do a lack of fit analysis up to
seeing if a quadratic model exhibits
align:start position:0%
seeing if a quadratic model exhibits
align:start position:0%
seeing if a quadratic model exhibits
then you need at least additional levels
align:start position:0%
then you need at least additional levels
align:start position:0%
then you need at least additional levels
implicitly somewhere in the design so
align:start position:0%
implicitly somewhere in the design so
align:start position:0%
implicitly somewhere in the design so
that's kind of a neat a neat thing that
align:start position:0%
that's kind of a neat a neat thing that
align:start position:0%
that's kind of a neat a neat thing that
they do here
align:start position:0%
they do here
align:start position:0%
they do here
so what they've done is normalized all
align:start position:0%
so what they've done is normalized all
align:start position:0%
so what they've done is normalized all
of their factors their five five four
align:start position:0%
of their factors their five five four
align:start position:0%
of their factors their five five four
factors here space temperature and so on
align:start position:0%
factors here space temperature and so on
align:start position:0%
factors here space temperature and so on
again not just two in our in their case
align:start position:0%
again not just two in our in their case
align:start position:0%
again not just two in our in their case
not just to a minus one plus one but uh
align:start position:0%
not just to a minus one plus one but uh
align:start position:0%
not just to a minus one plus one but uh
they use with their five levels a minus
align:start position:0%
they use with their five levels a minus
align:start position:0%
they use with their five levels a minus
two to plus two normalization but
align:start position:0%
two to plus two normalization but
align:start position:0%
two to plus two normalization but
essentially they're doing five up to
align:start position:0%
essentially they're doing five up to
align:start position:0%
essentially they're doing five up to
five levels
align:start position:0%
five levels
align:start position:0%
five levels
on each of their parameters and so
align:start position:0%
on each of their parameters and so
align:start position:0%
on each of their parameters and so
they're using coded variables that we'll
align:start position:0%
they're using coded variables that we'll
align:start position:0%
they're using coded variables that we'll
see in the later
align:start position:0%
see in the later
align:start position:0%
see in the later
tables just like
align:start position:0%
tables just like
align:start position:0%
tables just like
we're used to
align:start position:0%
we're used to
align:start position:0%
we're used to
now
align:start position:0%
now
align:start position:0%
now
of course the other benefit of doing a
align:start position:0%
of course the other benefit of doing a
align:start position:0%
of course the other benefit of doing a
screening experiment
align:start position:0%
screening experiment
align:start position:0%
screening experiment
is that also helps give you some
align:start position:0%
is that also helps give you some
align:start position:0%
is that also helps give you some
information about reasonable design
align:start position:0%
information about reasonable design
align:start position:0%
information about reasonable design
space for picking the range that you
align:start position:0%
space for picking the range that you
align:start position:0%
space for picking the range that you
want to explore these parameters in
align:start position:0%
want to explore these parameters in
align:start position:0%
want to explore these parameters in
otherwise they probably would have had
align:start position:0%
otherwise they probably would have had
align:start position:0%
otherwise they probably would have had
to just go by by
align:start position:0%
to just go by by
align:start position:0%
to just go by by
prior experience
align:start position:0%
prior experience
align:start position:0%
prior experience
that's another advantage of doing sort
align:start position:0%
that's another advantage of doing sort
align:start position:0%
that's another advantage of doing sort
of this
align:start position:0%
of this
align:start position:0%
of this
two-stage experimentation with screening
align:start position:0%
two-stage experimentation with screening
align:start position:0%
two-stage experimentation with screening
followed by a more extensive
align:start position:0%
followed by a more extensive
align:start position:0%
followed by a more extensive
either a new doe or adding to the
align:start position:0%
either a new doe or adding to the
align:start position:0%
either a new doe or adding to the
screening doe
align:start position:0%
screening doe
align:start position:0%
screening doe
so they're going to be building second
align:start position:0%
so they're going to be building second
align:start position:0%
so they're going to be building second
order polynomial models that is to say
align:start position:0%
order polynomial models that is to say
align:start position:0%
order polynomial models that is to say
quadratic models with both
align:start position:0%
quadratic models with both
align:start position:0%
quadratic models with both
interactions and then square terms
align:start position:0%
interactions and then square terms
align:start position:0%
interactions and then square terms
just square terms
align:start position:0%
just square terms
align:start position:0%
just square terms
in individual parameters
align:start position:0%
in individual parameters
align:start position:0%
in individual parameters
they also mentioned that they're not
align:start position:0%
they also mentioned that they're not
align:start position:0%
they also mentioned that they're not
going to do any transformations of the
align:start position:0%
going to do any transformations of the
align:start position:0%
going to do any transformations of the
output
align:start position:0%
output
align:start position:0%
output
variables such as a log or an inverse
align:start position:0%
align:start position:0%
okay so we've already talked i think
align:start position:0%
okay so we've already talked i think
align:start position:0%
okay so we've already talked i think
about those two those two points so in
align:start position:0%
about those two those two points so in
align:start position:0%
about those two those two points so in
the in the paper they show the the
align:start position:0%
the in the paper they show the the
align:start position:0%
the in the paper they show the the
variable uh test levels coded here's
align:start position:0%
variable uh test levels coded here's
align:start position:0%
variable uh test levels coded here's
again our four inputs and the trials
align:start position:0%
again our four inputs and the trials
align:start position:0%
again our four inputs and the trials
and
align:start position:0%
and
align:start position:0%
and
uh
align:start position:0%
uh
align:start position:0%
uh
if you look you can start to get a very
align:start position:0%
if you look you can start to get a very
align:start position:0%
if you look you can start to get a very
nice sense of what this central
align:start position:0%
nice sense of what this central
align:start position:0%
nice sense of what this central
composite looks like
align:start position:0%
composite looks like
align:start position:0%
composite looks like
what they're essentially doing here
align:start position:0%
what they're essentially doing here
align:start position:0%
what they're essentially doing here
breaking it up into let's call it three
align:start position:0%
breaking it up into let's call it three
align:start position:0%
breaking it up into let's call it three
different segments
align:start position:0%
different segments
align:start position:0%
different segments
of of design points
align:start position:0%
of of design points
align:start position:0%
of of design points
what are these design points what do
align:start position:0%
what are these design points what do
align:start position:0%
what are these design points what do
those correspond to
align:start position:0%
align:start position:0%
there's a term we refer to those kind of
align:start position:0%
there's a term we refer to those kind of
align:start position:0%
there's a term we refer to those kind of
design points as
align:start position:0%
align:start position:0%
where does one of those design points
align:start position:0%
where does one of those design points
align:start position:0%
where does one of those design points
lie
align:start position:0%
align:start position:0%
take trial number one
align:start position:0%
align:start position:0%
right it's way out minus two on the
align:start position:0%
right it's way out minus two on the
align:start position:0%
right it's way out minus two on the
space axis
align:start position:0%
space axis
align:start position:0%
space axis
and holding the others at their median
align:start position:0%
and holding the others at their median
align:start position:0%
and holding the others at their median
or their their nominal value right
align:start position:0%
or their their nominal value right
align:start position:0%
or their their nominal value right
so that's
align:start position:0%
so that's
align:start position:0%
so that's
out on the end of one of the axes
align:start position:0%
out on the end of one of the axes
align:start position:0%
out on the end of one of the axes
then the plus two minus two that's the
align:start position:0%
then the plus two minus two that's the
align:start position:0%
then the plus two minus two that's the
other end of this so those are our axial
align:start position:0%
other end of this so those are our axial
align:start position:0%
other end of this so those are our axial
points
align:start position:0%
points
align:start position:0%
points
in a central composite design
align:start position:0%
align:start position:0%
they're sort of the classic hold
align:start position:0%
they're sort of the classic hold
align:start position:0%
they're sort of the classic hold
everything else constant vary one
align:start position:0%
everything else constant vary one
align:start position:0%
everything else constant vary one
parameter at a time so they are giving
align:start position:0%
parameter at a time so they are giving
align:start position:0%
parameter at a time so they are giving
you unambiguous sense of what that one
align:start position:0%
you unambiguous sense of what that one
align:start position:0%
you unambiguous sense of what that one
parameter is doing but not able to
align:start position:0%
parameter is doing but not able to
align:start position:0%
parameter is doing but not able to
capture interactions and so on they're
align:start position:0%
capture interactions and so on they're
align:start position:0%
capture interactions and so on they're
also exploring sort of the outer limits
align:start position:0%
also exploring sort of the outer limits
align:start position:0%
also exploring sort of the outer limits
of the design
align:start position:0%
of the design
align:start position:0%
of the design
how about these points
align:start position:0%
align:start position:0%
how many of them are there
align:start position:0%
align:start position:0%
looks like there's 16 of them
align:start position:0%
align:start position:0%
corner points exactly
align:start position:0%
corner points exactly
align:start position:0%
corner points exactly
so those are all corner combinations of
align:start position:0%
so those are all corner combinations of
align:start position:0%
so those are all corner combinations of
four parameters
align:start position:0%
four parameters
align:start position:0%
four parameters
four squared 16 different corners
align:start position:0%
four squared 16 different corners
align:start position:0%
four squared 16 different corners
okay
align:start position:0%
okay
align:start position:0%
okay
and then finally these
align:start position:0%
and then finally these
align:start position:0%
and then finally these
these are easy what are these
align:start position:0%
these are easy what are these
align:start position:0%
these are easy what are these
center points right
align:start position:0%
center points right
align:start position:0%
center points right
and so i don't know whether they have
align:start position:0%
and so i don't know whether they have
align:start position:0%
and so i don't know whether they have
seven seven replicates
align:start position:0%
seven seven replicates
align:start position:0%
seven seven replicates
so the other points are unreplicated
align:start position:0%
so the other points are unreplicated
align:start position:0%
so the other points are unreplicated
by the way so you might be a little bit
align:start position:0%
by the way so you might be a little bit
align:start position:0%
by the way so you might be a little bit
susceptible to to outliers in some of
align:start position:0%
susceptible to to outliers in some of
align:start position:0%
susceptible to to outliers in some of
the other points but they have a fairly
align:start position:0%
the other points but they have a fairly
align:start position:0%
the other points but they have a fairly
reasonable number seven replicates at
align:start position:0%
reasonable number seven replicates at
align:start position:0%
reasonable number seven replicates at
the center so that'll allow some
align:start position:0%
align:start position:0%
more or less reasonable estimate of some
align:start position:0%
more or less reasonable estimate of some
align:start position:0%
more or less reasonable estimate of some
of the
align:start position:0%
of the
align:start position:0%
of the
reproducibility some of the inherent
align:start position:0%
reproducibility some of the inherent
align:start position:0%
reproducibility some of the inherent
variances in the process
align:start position:0%
align:start position:0%
okay
align:start position:0%
okay
align:start position:0%
okay
they say by the way that
align:start position:0%
they say by the way that
align:start position:0%
they say by the way that
those replicates generally result in
align:start position:0%
those replicates generally result in
align:start position:0%
those replicates generally result in
about one and a half to five percent one
align:start position:0%
about one and a half to five percent one
align:start position:0%
about one and a half to five percent one
sigma
align:start position:0%
sigma
align:start position:0%
sigma
range in the output
align:start position:0%
range in the output
align:start position:0%
range in the output
parameters the paper says they did a
align:start position:0%
parameters the paper says they did a
align:start position:0%
parameters the paper says they did a
randomized run order
align:start position:0%
randomized run order
align:start position:0%
randomized run order
why would you do that
align:start position:0%
align:start position:0%
why not just run you got trial one
align:start position:0%
why not just run you got trial one
align:start position:0%
why not just run you got trial one
et cetera why not just run all the way
align:start position:0%
et cetera why not just run all the way
align:start position:0%
et cetera why not just run all the way
down to
align:start position:0%
down to
align:start position:0%
down to
run trial number 31 in this order
align:start position:0%
align:start position:0%
to be independent
align:start position:0%
to be independent
align:start position:0%
to be independent
uh
align:start position:0%
uh
align:start position:0%
uh
independent of what
align:start position:0%
align:start position:0%
pressure different appreciation
align:start position:0%
align:start position:0%
uh
align:start position:0%
uh
align:start position:0%
uh
i think you're right but but as you
align:start position:0%
i think you're right but but as you
align:start position:0%
i think you're right but but as you
change these parameters that we're only
align:start position:0%
change these parameters that we're only
align:start position:0%
change these parameters that we're only
playing with these these four parameters
align:start position:0%
playing with these these four parameters
align:start position:0%
playing with these these four parameters
but there might still be noise other
align:start position:0%
but there might still be noise other
align:start position:0%
but there might still be noise other
noise in the process or drifts like we
align:start position:0%
noise in the process or drifts like we
align:start position:0%
noise in the process or drifts like we
talked about and it turns out in many of
align:start position:0%
talked about and it turns out in many of
align:start position:0%
talked about and it turns out in many of
these deposition processes you actually
align:start position:0%
these deposition processes you actually
align:start position:0%
these deposition processes you actually
have to worry about possible drifts
align:start position:0%
have to worry about possible drifts
align:start position:0%
have to worry about possible drifts
in that you may get film build up on the
align:start position:0%
in that you may get film build up on the
align:start position:0%
in that you may get film build up on the
inside of the reactor
align:start position:0%
inside of the reactor
align:start position:0%
inside of the reactor
that over time might change a little bit
align:start position:0%
that over time might change a little bit
align:start position:0%
that over time might change a little bit
the deposition process so by randomizing
align:start position:0%
the deposition process so by randomizing
align:start position:0%
the deposition process so by randomizing
the run order you're randomizing the
align:start position:0%
the run order you're randomizing the
align:start position:0%
the run order you're randomizing the
outputs and converting if there is a
align:start position:0%
outputs and converting if there is a
align:start position:0%
outputs and converting if there is a
trend you basically convert that
align:start position:0%
trend you basically convert that
align:start position:0%
trend you basically convert that
systematic trend into
align:start position:0%
systematic trend into
align:start position:0%
systematic trend into
noise
align:start position:0%
noise
align:start position:0%
noise
it may still perturb your values but now
align:start position:0%
it may still perturb your values but now
align:start position:0%
it may still perturb your values but now
it does it kind of distributed in a
align:start position:0%
it does it kind of distributed in a
align:start position:0%
it does it kind of distributed in a
random fashion across all of your
align:start position:0%
random fashion across all of your
align:start position:0%
random fashion across all of your
outputs and it will add to the noise the
align:start position:0%
outputs and it will add to the noise the
align:start position:0%
outputs and it will add to the noise the
change the reproducibility values
align:start position:0%
change the reproducibility values
align:start position:0%
change the reproducibility values
but at least then it's not
align:start position:0%
but at least then it's not
align:start position:0%
but at least then it's not
fooling you in a systematic way about
align:start position:0%
fooling you in a systematic way about
align:start position:0%
fooling you in a systematic way about
confusing if there is that kind of other
align:start position:0%
confusing if there is that kind of other
align:start position:0%
confusing if there is that kind of other
drift it will not confuse you or alias
align:start position:0%
drift it will not confuse you or alias
align:start position:0%
drift it will not confuse you or alias
with some other parameter
align:start position:0%
with some other parameter
align:start position:0%
with some other parameter
okay
align:start position:0%
okay
align:start position:0%
okay
i have one minor annoyance in the paper
align:start position:0%
i have one minor annoyance in the paper
align:start position:0%
i have one minor annoyance in the paper
and so if you're writing papers and
align:start position:0%
and so if you're writing papers and
align:start position:0%
and so if you're writing papers and
you're you do a randomized run
align:start position:0%
you're you do a randomized run
align:start position:0%
you're you do a randomized run
uh
align:start position:0%
uh
align:start position:0%
uh
tell me what the run order actually was
align:start position:0%
tell me what the run order actually was
align:start position:0%
tell me what the run order actually was
if you're telling me the data i would
align:start position:0%
if you're telling me the data i would
align:start position:0%
if you're telling me the data i would
love to actually know the run order
align:start position:0%
love to actually know the run order
align:start position:0%
love to actually know the run order
because then when i do residual analysis
align:start position:0%
because then when i do residual analysis
align:start position:0%
because then when i do residual analysis
and look at the residuals as a function
align:start position:0%
and look at the residuals as a function
align:start position:0%
and look at the residuals as a function
of time
align:start position:0%
of time
align:start position:0%
of time
i can actually
align:start position:0%
i can actually
align:start position:0%
i can actually
go in and see if there was perhaps a
align:start position:0%
go in and see if there was perhaps a
align:start position:0%
go in and see if there was perhaps a
systematic time drift
align:start position:0%
systematic time drift
align:start position:0%
systematic time drift
and it really doesn't cost much
align:start position:0%
and it really doesn't cost much
align:start position:0%
and it really doesn't cost much
to do that in
align:start position:0%
to do that in
align:start position:0%
to do that in
ink space in the paper
align:start position:0%
ink space in the paper
align:start position:0%
ink space in the paper
so for example here they had trial some
align:start position:0%
so for example here they had trial some
align:start position:0%
so for example here they had trial some
papers you will actually see they go in
align:start position:0%
papers you will actually see they go in
align:start position:0%
papers you will actually see they go in
and might put
align:start position:0%
and might put
align:start position:0%
and might put
a number sort of right beside it
align:start position:0%
a number sort of right beside it
align:start position:0%
a number sort of right beside it
in parentheses or something like that or
align:start position:0%
in parentheses or something like that or
align:start position:0%
in parentheses or something like that or
actual another
align:start position:0%
actual another
align:start position:0%
actual another
column in the table or whatever that
align:start position:0%
column in the table or whatever that
align:start position:0%
column in the table or whatever that
tells me run order not just trial number
align:start position:0%
tells me run order not just trial number
align:start position:0%
tells me run order not just trial number
okay so do that
align:start position:0%
okay so do that
align:start position:0%
okay so do that
if you write write papers with data in
align:start position:0%
if you write write papers with data in
align:start position:0%
if you write write papers with data in
it
align:start position:0%
it
align:start position:0%
it
they also say they do did some outlier
align:start position:0%
they also say they do did some outlier
align:start position:0%
they also say they do did some outlier
analysis they don't really uh
align:start position:0%
analysis they don't really uh
align:start position:0%
analysis they don't really uh
say what that was but they know they do
align:start position:0%
say what that was but they know they do
align:start position:0%
say what that was but they know they do
note it in the data
align:start position:0%
note it in the data
align:start position:0%
note it in the data
and by the way
align:start position:0%
and by the way
align:start position:0%
and by the way
oh i may not have put this on the
align:start position:0%
oh i may not have put this on the
align:start position:0%
oh i may not have put this on the
site yet i will also add the spreadsheet
align:start position:0%
site yet i will also add the spreadsheet
align:start position:0%
site yet i will also add the spreadsheet
with this basic data so if you want to
align:start position:0%
with this basic data so if you want to
align:start position:0%
with this basic data so if you want to
grab this later and play with the data
align:start position:0%
grab this later and play with the data
align:start position:0%
grab this later and play with the data
and do some of your own response surface
align:start position:0%
and do some of your own response surface
align:start position:0%
and do some of your own response surface
model fits with
align:start position:0%
model fits with
align:start position:0%
model fits with
jump or some of the other tools you can
align:start position:0%
jump or some of the other tools you can
align:start position:0%
jump or some of the other tools you can
do that
align:start position:0%
do that
align:start position:0%
do that
here's the output
align:start position:0%
here's the output
align:start position:0%
here's the output
trial number and then each of the seven
align:start position:0%
trial number and then each of the seven
align:start position:0%
trial number and then each of the seven
different outputs so these are the seven
align:start position:0%
different outputs so these are the seven
align:start position:0%
different outputs so these are the seven
different outputs and basically just the
align:start position:0%
different outputs and basically just the
align:start position:0%
different outputs and basically just the
raw the raw measured data
align:start position:0%
raw the raw measured data
align:start position:0%
raw the raw measured data
they
align:start position:0%
they
align:start position:0%
they
also may have asterisked or footnoted a
align:start position:0%
also may have asterisked or footnoted a
align:start position:0%
also may have asterisked or footnoted a
few of these which is a good practice
align:start position:0%
few of these which is a good practice
align:start position:0%
few of these which is a good practice
they said you know
align:start position:0%
they said you know
align:start position:0%
they said you know
weird things like
align:start position:0%
align:start position:0%
indicates entries determined to be
align:start position:0%
indicates entries determined to be
align:start position:0%
indicates entries determined to be
outliers
align:start position:0%
outliers
align:start position:0%
outliers
or if they knew something weird happened
align:start position:0%
or if they knew something weird happened
align:start position:0%
or if they knew something weird happened
with the measurement of that particular
align:start position:0%
with the measurement of that particular
align:start position:0%
with the measurement of that particular
data point or that entire row
align:start position:0%
data point or that entire row
align:start position:0%
data point or that entire row
they would note that that can be really
align:start position:0%
they would note that that can be really
align:start position:0%
they would note that that can be really
critical when you're interpreting the
align:start position:0%
critical when you're interpreting the
align:start position:0%
critical when you're interpreting the
data
align:start position:0%
data
align:start position:0%
data
then what they've done down here at the
align:start position:0%
then what they've done down here at the
align:start position:0%
then what they've done down here at the
bottom is simply calculated
align:start position:0%
bottom is simply calculated
align:start position:0%
bottom is simply calculated
things like
align:start position:0%
things like
align:start position:0%
things like
the standard deviation
align:start position:0%
the standard deviation
align:start position:0%
the standard deviation
across
align:start position:0%
across
align:start position:0%
across
across all of those
align:start position:0%
across all of those
align:start position:0%
across all of those
i think that's across
align:start position:0%
i think that's across
align:start position:0%
i think that's across
just the replicate runs you can see that
align:start position:0%
just the replicate runs you can see that
align:start position:0%
just the replicate runs you can see that
underneath here
align:start position:0%
underneath here
align:start position:0%
underneath here
yeah okay
align:start position:0%
yeah okay
align:start position:0%
yeah okay
so it gives you a sense of the
align:start position:0%
so it gives you a sense of the
align:start position:0%
so it gives you a sense of the
percentage variance one sigma percentage
align:start position:0%
percentage variance one sigma percentage
align:start position:0%
percentage variance one sigma percentage
variance in each of the output
align:start position:0%
variance in each of the output
align:start position:0%
variance in each of the output
parameters
align:start position:0%
parameters
align:start position:0%
parameters
yes question
align:start position:0%
yes question
align:start position:0%
yes question
if one of the entries was
align:start position:0%
if one of the entries was
align:start position:0%
if one of the entries was
as an issue doesn't that mean
align:start position:0%
as an issue doesn't that mean
align:start position:0%
as an issue doesn't that mean
the whole row
align:start position:0%
the whole row
align:start position:0%
the whole row
as an issue
align:start position:0%
as an issue
align:start position:0%
as an issue
so shouldn't that whole row be discarded
align:start position:0%
so shouldn't that whole row be discarded
align:start position:0%
so shouldn't that whole row be discarded
how can you for example you know in run
align:start position:0%
how can you for example you know in run
align:start position:0%
how can you for example you know in run
six have an issue with let's say 8.1 and
align:start position:0%
six have an issue with let's say 8.1 and
align:start position:0%
six have an issue with let's say 8.1 and
say you know this looks weird
align:start position:0%
say you know this looks weird
align:start position:0%
say you know this looks weird
and you're not going to
align:start position:0%
and you're not going to
align:start position:0%
and you're not going to
um use it in the row uh
align:start position:0%
um use it in the row uh
align:start position:0%
um use it in the row uh
so
align:start position:0%
align:start position:0%
how can you have just an issue with one
align:start position:0%
how can you have just an issue with one
align:start position:0%
how can you have just an issue with one
element and not an issue with the whole
align:start position:0%
element and not an issue with the whole
align:start position:0%
element and not an issue with the whole
row
align:start position:0%
row
align:start position:0%
row
basically i think it comes down to some
align:start position:0%
basically i think it comes down to some
align:start position:0%
basically i think it comes down to some
engineering knowledge on what the issue
align:start position:0%
engineering knowledge on what the issue
align:start position:0%
engineering knowledge on what the issue
may actually be so in particular if
align:start position:0%
may actually be so in particular if
align:start position:0%
may actually be so in particular if
you're worried that
align:start position:0%
you're worried that
align:start position:0%
you're worried that
there's something wrong with the
align:start position:0%
there's something wrong with the
align:start position:0%
there's something wrong with the
measurement
align:start position:0%
measurement
align:start position:0%
measurement
then that does not necessarily
align:start position:0%
then that does not necessarily
align:start position:0%
then that does not necessarily
contaminate your measurements of other
align:start position:0%
contaminate your measurements of other
align:start position:0%
contaminate your measurements of other
other
align:start position:0%
other
align:start position:0%
other
other columns
align:start position:0%
other columns
align:start position:0%
other columns
if you think it's really an indicator
align:start position:0%
if you think it's really an indicator
align:start position:0%
if you think it's really an indicator
that the whole run
align:start position:0%
that the whole run
align:start position:0%
that the whole run
or the whole trial was
align:start position:0%
or the whole trial was
align:start position:0%
or the whole trial was
was messed up somehow
align:start position:0%
was messed up somehow
align:start position:0%
was messed up somehow
then i agree you would probably want to
align:start position:0%
then i agree you would probably want to
align:start position:0%
then i agree you would probably want to
to omit that entire run from your whole
align:start position:0%
to omit that entire run from your whole
align:start position:0%
to omit that entire run from your whole
table or maybe repeat that run
align:start position:0%
table or maybe repeat that run
align:start position:0%
table or maybe repeat that run
in this case with single wafer
align:start position:0%
in this case with single wafer
align:start position:0%
in this case with single wafer
processing is probably an easy thing to
align:start position:0%
processing is probably an easy thing to
align:start position:0%
processing is probably an easy thing to
do
align:start position:0%
do
align:start position:0%
do
i guess the second question if you're
align:start position:0%
i guess the second question if you're
align:start position:0%
i guess the second question if you're
doing experiments
align:start position:0%
doing experiments
align:start position:0%
doing experiments
that's an issue
align:start position:0%
that's an issue
align:start position:0%
that's an issue
one of the numbers looks
align:start position:0%
one of the numbers looks
align:start position:0%
one of the numbers looks
funky yeah um
align:start position:0%
funky yeah um
align:start position:0%
funky yeah um
the fact and we want to eliminate that
align:start position:0%
the fact and we want to eliminate that
align:start position:0%
the fact and we want to eliminate that
whole row what does that mean for
align:start position:0%
whole row what does that mean for
align:start position:0%
whole row what does that mean for
our experiment if it's for example like
align:start position:0%
our experiment if it's for example like
align:start position:0%
our experiment if it's for example like
the only we didn't do replicas is the
align:start position:0%
the only we didn't do replicas is the
align:start position:0%
the only we didn't do replicas is the
center point and now we don't have a
align:start position:0%
center point and now we don't have a
align:start position:0%
center point and now we don't have a
center point yeah so the other question
align:start position:0%
center point yeah so the other question
align:start position:0%
center point yeah so the other question
is if you do have a bad data row how
align:start position:0%
is if you do have a bad data row how
align:start position:0%
is if you do have a bad data row how
does that mess up your data analysis
align:start position:0%
does that mess up your data analysis
align:start position:0%
does that mess up your data analysis
and and
align:start position:0%
and and
align:start position:0%
and and
the answer is depending on the kind of
align:start position:0%
the answer is depending on the kind of
align:start position:0%
the answer is depending on the kind of
doe that you have and the kinds of
align:start position:0%
doe that you have and the kinds of
align:start position:0%
doe that you have and the kinds of
analysis that you apply
align:start position:0%
analysis that you apply
align:start position:0%
analysis that you apply
you can be more or less robust to those
align:start position:0%
you can be more or less robust to those
align:start position:0%
you can be more or less robust to those
kinds of missing data points
align:start position:0%
kinds of missing data points
align:start position:0%
kinds of missing data points
one of the nice things about a central
align:start position:0%
one of the nice things about a central
align:start position:0%
one of the nice things about a central
composite design
align:start position:0%
composite design
align:start position:0%
composite design
and especially one where they've got you
align:start position:0%
and especially one where they've got you
align:start position:0%
and especially one where they've got you
know kind of this these five levels is
align:start position:0%
know kind of this these five levels is
align:start position:0%
know kind of this these five levels is
if you do that in conjunction with
align:start position:0%
if you do that in conjunction with
align:start position:0%
if you do that in conjunction with
response surface modeling regression
align:start position:0%
response surface modeling regression
align:start position:0%
response surface modeling regression
modeling in particular the numerical
align:start position:0%
modeling in particular the numerical
align:start position:0%
modeling in particular the numerical
regression modeling you're fairly well
align:start position:0%
regression modeling you're fairly well
align:start position:0%
regression modeling you're fairly well
off if you have a few missing data
align:start position:0%
off if you have a few missing data
align:start position:0%
off if you have a few missing data
points it would throw you for a loop in
align:start position:0%
points it would throw you for a loop in
align:start position:0%
points it would throw you for a loop in
some of the shorthand formation of
align:start position:0%
some of the shorthand formation of
align:start position:0%
some of the shorthand formation of
contrast that we talked about because
align:start position:0%
contrast that we talked about because
align:start position:0%
contrast that we talked about because
then you know your typical averaging
align:start position:0%
then you know your typical averaging
align:start position:0%
then you know your typical averaging
that's implicit and some of those are
align:start position:0%
that's implicit and some of those are
align:start position:0%
that's implicit and some of those are
wrong
align:start position:0%
wrong
align:start position:0%
wrong
so you've got to be able but but if you
align:start position:0%
so you've got to be able but but if you
align:start position:0%
so you've got to be able but but if you
do
align:start position:0%
do
align:start position:0%
do
regression modeling in conjunction with
align:start position:0%
regression modeling in conjunction with
align:start position:0%
regression modeling in conjunction with
a fairly rich
align:start position:0%
align:start position:0%
sort of
align:start position:0%
sort of
align:start position:0%
sort of
extra data points are lurking in there
align:start position:0%
extra data points are lurking in there
align:start position:0%
extra data points are lurking in there
extra degrees of freedom are lurking in
align:start position:0%
extra degrees of freedom are lurking in
align:start position:0%
extra degrees of freedom are lurking in
there that still allow you to reliably
align:start position:0%
there that still allow you to reliably
align:start position:0%
there that still allow you to reliably
fit models
align:start position:0%
align:start position:0%
so the paper says the anova is performed
align:start position:0%
so the paper says the anova is performed
align:start position:0%
so the paper says the anova is performed
but it is not shown
align:start position:0%
but it is not shown
align:start position:0%
but it is not shown
i want to see the anova table so well we
align:start position:0%
i want to see the anova table so well we
align:start position:0%
i want to see the anova table so well we
can basically generate those on our own
align:start position:0%
can basically generate those on our own
align:start position:0%
can basically generate those on our own
and so in this case
align:start position:0%
and so in this case
align:start position:0%
and so in this case
if the paper has the raw data in it i
align:start position:0%
if the paper has the raw data in it i
align:start position:0%
if the paper has the raw data in it i
think it's okay that they didn't show
align:start position:0%
think it's okay that they didn't show
align:start position:0%
think it's okay that they didn't show
the anova because i can regenerate that
align:start position:0%
the anova because i can regenerate that
align:start position:0%
the anova because i can regenerate that
papers i hate are they don't show you
align:start position:0%
papers i hate are they don't show you
align:start position:0%
papers i hate are they don't show you
the data and they don't show you the
align:start position:0%
the data and they don't show you the
align:start position:0%
the data and they don't show you the
anova and so you don't know really what
align:start position:0%
anova and so you don't know really what
align:start position:0%
anova and so you don't know really what
the noise was you don't know
align:start position:0%
the noise was you don't know
align:start position:0%
the noise was you don't know
significances of parameters you don't
align:start position:0%
significances of parameters you don't
align:start position:0%
significances of parameters you don't
know which parameters often they won't
align:start position:0%
know which parameters often they won't
align:start position:0%
know which parameters often they won't
tell you really the significance level
align:start position:0%
tell you really the significance level
align:start position:0%
tell you really the significance level
that was used to accept a model all of
align:start position:0%
that was used to accept a model all of
align:start position:0%
that was used to accept a model all of
those sorts of things so in this case
align:start position:0%
those sorts of things so in this case
align:start position:0%
those sorts of things so in this case
i'm i'm happy with the paper because
align:start position:0%
i'm i'm happy with the paper because
align:start position:0%
i'm i'm happy with the paper because
i've got the raw data
align:start position:0%
i've got the raw data
align:start position:0%
i've got the raw data
they claim that each of the model is
align:start position:0%
they claim that each of the model is
align:start position:0%
they claim that each of the model is
significant at 99.9 percent uh
align:start position:0%
significant at 99.9 percent uh
align:start position:0%
significant at 99.9 percent uh
significance level that's just
align:start position:0%
significance level that's just
align:start position:0%
significance level that's just
their their p-value on the f-test for
align:start position:0%
their their p-value on the f-test for
align:start position:0%
their their p-value on the f-test for
the whole model
align:start position:0%
the whole model
align:start position:0%
the whole model
so these are very
align:start position:0%
so these are very
align:start position:0%
so these are very
uh at least there is some parameter that
align:start position:0%
uh at least there is some parameter that
align:start position:0%
uh at least there is some parameter that
is significant in influencing the output
align:start position:0%
is significant in influencing the output
align:start position:0%
is significant in influencing the output
they report also r squareds which are is
align:start position:0%
they report also r squareds which are is
align:start position:0%
they report also r squareds which are is
nice and for most of the models they are
align:start position:0%
nice and for most of the models they are
align:start position:0%
nice and for most of the models they are
really quite high in the 0.88 to 0.97
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really quite high in the 0.88 to 0.97
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really quite high in the 0.88 to 0.97
range
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range
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range
the lowest one was
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the lowest one was
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the lowest one was
resistivity at about 0.79
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resistivity at about 0.79
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resistivity at about 0.79
okay
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align:start position:0%
they also report some lack of fit
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they also report some lack of fit
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they also report some lack of fit
mention a little bit of evidence of lack
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mention a little bit of evidence of lack
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mention a little bit of evidence of lack
of fit for uniformity and reflectance
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of fit for uniformity and reflectance
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of fit for uniformity and reflectance
this
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this
align:start position:0%
this
lack of fit for sheet resistance
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lack of fit for sheet resistance
align:start position:0%
lack of fit for sheet resistance
uniformity
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uniformity
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uniformity
is really interesting
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is really interesting
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is really interesting
and in fact so interesting
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and in fact so interesting
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and in fact so interesting
that i think a week from today if dave
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that i think a week from today if dave
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that i think a week from today if dave
is talking on thursday
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is talking on thursday
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is talking on thursday
i will spend a whole lecture
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i will spend a whole lecture
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i will spend a whole lecture
on modeling of uniformity
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on modeling of uniformity
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on modeling of uniformity
response surface modeling approaches
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response surface modeling approaches
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response surface modeling approaches
spatial modeling approaches appropriate
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spatial modeling approaches appropriate
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spatial modeling approaches appropriate
for uniformity
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for uniformity
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for uniformity
the preview is
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the preview is
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the preview is
think of the calculations that go into a
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think of the calculations that go into a
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think of the calculations that go into a
wafer level uniformity calcu
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wafer level uniformity calcu
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wafer level uniformity calcu
you know the calculation of that
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you know the calculation of that
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you know the calculation of that
you might measure i think they're
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you might measure i think they're
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you might measure i think they're
measuring 49 points across the wafer
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measuring 49 points across the wafer
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measuring 49 points across the wafer
they're do it forming sums of squared
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they're do it forming sums of squared
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they're do it forming sums of squared
deviations and then taking a square root
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deviations and then taking a square root
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deviations and then taking a square root
and then perhaps normalizing by some
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and then perhaps normalizing by some
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and then perhaps normalizing by some
mean
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mean
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mean
does that sound like a set of linear
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does that sound like a set of linear
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does that sound like a set of linear
operations
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operations
align:start position:0%
operations
no that there's a lot of implicit
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no that there's a lot of implicit
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no that there's a lot of implicit
non-linearity
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non-linearity
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non-linearity
lurking just in the calculation of that
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lurking just in the calculation of that
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lurking just in the calculation of that
of that metric
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of that metric
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of that metric
and so it's not surprising that there's
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and so it's not surprising that there's
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and so it's not surprising that there's
quadratic lack of fit or inability of a
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quadratic lack of fit or inability of a
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quadratic lack of fit or inability of a
quadratic model to deal with a
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quadratic model to deal with a
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quadratic model to deal with a
uniformity metric
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uniformity metric
align:start position:0%
uniformity metric
a spatial uniformity metric and we'll
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a spatial uniformity metric and we'll
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a spatial uniformity metric and we'll
talk more about that next week but
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talk more about that next week but
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talk more about that next week but
but um
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but um
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but um
so they they do mention this uh at least
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so they they do mention this uh at least
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so they they do mention this uh at least
they also mentioned some some potential
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they also mentioned some some potential
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they also mentioned some some potential
lack of fit and reflectance i don't have
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lack of fit and reflectance i don't have
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lack of fit and reflectance i don't have
an explanation for that they conjecture
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an explanation for that they conjecture
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an explanation for that they conjecture
it's due to a very small pure error term
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it's due to a very small pure error term
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it's due to a very small pure error term
so that you're able to detect
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so that you're able to detect
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so that you're able to detect
with pretty fine resolution if there's
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with pretty fine resolution if there's
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with pretty fine resolution if there's
any subtle non-quadratic
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any subtle non-quadratic
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any subtle non-quadratic
uh trends but they're not concerned with
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uh trends but they're not concerned with
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uh trends but they're not concerned with
it it's
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it it's
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it it's
they still feel that they have very good
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they still feel that they have very good
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they still feel that they have very good
good models
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good models
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good models
it's also the case
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it's also the case
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it's also the case
that there may be transformations
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that there may be transformations
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that there may be transformations
that could be applied to improve these
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that could be applied to improve these
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that could be applied to improve these
models
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models
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models
and that also for the sheet resistivity
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and that also for the sheet resistivity
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and that also for the sheet resistivity
or sheet resistance measurement
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or sheet resistance measurement
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or sheet resistance measurement
there might be natural transformations
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there might be natural transformations
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there might be natural transformations
that you might think that apply
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that you might think that apply
align:start position:0%
that you might think that apply
in fact if this is related to things
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in fact if this is related to things
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in fact if this is related to things
like
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like
align:start position:0%
like
resistance divided by a thickness
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resistance divided by a thickness
align:start position:0%
resistance divided by a thickness
and the thickness
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and the thickness
align:start position:0%
and the thickness
grows linearly
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grows linearly
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grows linearly
with
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with
align:start position:0%
with
you know maybe you have a linear
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you know maybe you have a linear
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you know maybe you have a linear
dependence on on
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dependence on on
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dependence on on
uh growth rate or something like that
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uh growth rate or something like that
align:start position:0%
uh growth rate or something like that
there may be inherent in there some one
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there may be inherent in there some one
align:start position:0%
there may be inherent in there some one
over kinds of transformations that might
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over kinds of transformations that might
align:start position:0%
over kinds of transformations that might
actually be a better thing to do to take
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actually be a better thing to do to take
align:start position:0%
actually be a better thing to do to take
that sheet resistance invert it and
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that sheet resistance invert it and
align:start position:0%
that sheet resistance invert it and
model the inverse of sheet resistance as
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model the inverse of sheet resistance as
align:start position:0%
model the inverse of sheet resistance as
a function of the input parameters
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a function of the input parameters
align:start position:0%
a function of the input parameters
so you can play around with that and
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so you can play around with that and
align:start position:0%
so you can play around with that and
actually that's a neat fun thing to play
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actually that's a neat fun thing to play
align:start position:0%
actually that's a neat fun thing to play
around with with some of these models
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around with with some of these models
align:start position:0%
around with with some of these models
they didn't do that
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they didn't do that
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they didn't do that
but you could
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but you could
align:start position:0%
but you could
and then they do show the regression
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and then they do show the regression
align:start position:0%
and then they do show the regression
models here's the output these are the
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models here's the output these are the
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models here's the output these are the
regression coefficients all of the
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regression coefficients all of the
align:start position:0%
regression coefficients all of the
linear terms and the cross terms and the
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linear terms and the cross terms and the
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linear terms and the cross terms and the
square terms and what they've done in
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square terms and what they've done in
align:start position:0%
square terms and what they've done in
this table is report the
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this table is report the
align:start position:0%
this table is report the
the fit for just the significant terms
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the fit for just the significant terms
align:start position:0%
the fit for just the significant terms
if the coefficient was
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if the coefficient was
align:start position:0%
if the coefficient was
determined in their stepwise regression
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determined in their stepwise regression
align:start position:0%
determined in their stepwise regression
to be insignificant they've left it off
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to be insignificant they've left it off
align:start position:0%
to be insignificant they've left it off
i don't think they actually told us
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i don't think they actually told us
align:start position:0%
i don't think they actually told us
what their criteria for inclusion what
align:start position:0%
what their criteria for inclusion what
align:start position:0%
what their criteria for inclusion what
their significance level cut off
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their significance level cut off
align:start position:0%
their significance level cut off
was
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was
align:start position:0%
was
in here so that would be a good thing to
align:start position:0%
in here so that would be a good thing to
align:start position:0%
in here so that would be a good thing to
do as well but you can see lots of lots
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do as well but you can see lots of lots
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do as well but you can see lots of lots
of models lots of
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of models lots of
align:start position:0%
of models lots of
uh second order terms these are you know
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uh second order terms these are you know
align:start position:0%
uh second order terms these are you know
interactions
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interactions
align:start position:0%
interactions
b 1 1 b 2 2 b 3 3 b
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b 1 1 b 2 2 b 3 3 b
align:start position:0%
b 1 1 b 2 2 b 3 3 b
those are pure square terms and then
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those are pure square terms and then
align:start position:0%
those are pure square terms and then
these are interactions so there's a fair
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these are interactions so there's a fair
align:start position:0%
these are interactions so there's a fair
amount of square activity going on
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amount of square activity going on
align:start position:0%
amount of square activity going on
as well as interactions
align:start position:0%
as well as interactions
align:start position:0%
as well as interactions
they also then use those fit models to
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they also then use those fit models to
align:start position:0%
they also then use those fit models to
start to form
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start to form
align:start position:0%
start to form
contour plots and this is how they start
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contour plots and this is how they start
align:start position:0%
contour plots and this is how they start
to make then some engineering judgment
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to make then some engineering judgment
align:start position:0%
to make then some engineering judgment
about different trends so they would
align:start position:0%
about different trends so they would
align:start position:0%
about different trends so they would
plot
align:start position:0%
align:start position:0%
realize they've got four inputs and
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realize they've got four inputs and
align:start position:0%
realize they've got four inputs and
seven outputs you possibly can't
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seven outputs you possibly can't
align:start position:0%
seven outputs you possibly can't
possibly have a
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possibly have a
align:start position:0%
possibly have a
whatever you know four-dimensional input
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whatever you know four-dimensional input
align:start position:0%
whatever you know four-dimensional input
space is very hard to visualize so what
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space is very hard to visualize so what
align:start position:0%
space is very hard to visualize so what
you resort to are typically either two
align:start position:0%
you resort to are typically either two
align:start position:0%
you resort to are typically either two
typically sort of two dimensional plots
align:start position:0%
typically sort of two dimensional plots
align:start position:0%
typically sort of two dimensional plots
where you might plot one output or two
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where you might plot one output or two
align:start position:0%
where you might plot one output or two
outputs as a contour so in this
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outputs as a contour so in this
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outputs as a contour so in this
particular plot the solid line i believe
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particular plot the solid line i believe
align:start position:0%
particular plot the solid line i believe
is growth rate
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is growth rate
align:start position:0%
is growth rate
and the dashed line here is wf6
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and the dashed line here is wf6
align:start position:0%
and the dashed line here is wf6
conversion
align:start position:0%
align:start position:0%
and you can start to feel get a feel for
align:start position:0%
and you can start to feel get a feel for
align:start position:0%
and you can start to feel get a feel for
as for example
align:start position:0%
as for example
align:start position:0%
as for example
the wf-6 pressure and the temperature
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the wf-6 pressure and the temperature
align:start position:0%
the wf-6 pressure and the temperature
change
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change
align:start position:0%
change
what trends you get in those two
align:start position:0%
what trends you get in those two
align:start position:0%
what trends you get in those two
parameters and what trade-offs you get
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parameters and what trade-offs you get
align:start position:0%
parameters and what trade-offs you get
in those two parameters so things like
align:start position:0%
in those two parameters so things like
align:start position:0%
in those two parameters so things like
as the temperature increases
align:start position:0%
as the temperature increases
align:start position:0%
as the temperature increases
so temperature increasing this way the
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so temperature increasing this way the
align:start position:0%
so temperature increasing this way the
growth rate
align:start position:0%
growth rate
align:start position:0%
growth rate
kind of increases
align:start position:0%
kind of increases
align:start position:0%
kind of increases
right so the growth rate is the solid
align:start position:0%
right so the growth rate is the solid
align:start position:0%
right so the growth rate is the solid
line
align:start position:0%
line
align:start position:0%
line
so pretty directly
align:start position:0%
so pretty directly
align:start position:0%
so pretty directly
with temperature that looks like a
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with temperature that looks like a
align:start position:0%
with temperature that looks like a
fairly strong direct impact as you might
align:start position:0%
fairly strong direct impact as you might
align:start position:0%
fairly strong direct impact as you might
expect with a chemically
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expect with a chemically
align:start position:0%
expect with a chemically
dependent kind of process
align:start position:0%
dependent kind of process
align:start position:0%
dependent kind of process
so they can start to get a feel for what
align:start position:0%
so they can start to get a feel for what
align:start position:0%
so they can start to get a feel for what
some of these trends are and look at
align:start position:0%
some of these trends are and look at
align:start position:0%
some of these trends are and look at
what
align:start position:0%
what
align:start position:0%
what
for example has the biggest impact on
align:start position:0%
for example has the biggest impact on
align:start position:0%
for example has the biggest impact on
growth rate of these of these parameters
align:start position:0%
growth rate of these of these parameters
align:start position:0%
growth rate of these of these parameters
and which have
align:start position:0%
and which have
align:start position:0%
and which have
either insignificant or small in
align:start position:0%
either insignificant or small in
align:start position:0%
either insignificant or small in
magnitude
align:start position:0%
magnitude
align:start position:0%
magnitude
kinds of effects
align:start position:0%
kinds of effects
align:start position:0%
kinds of effects
now they can also start to do things
align:start position:0%
now they can also start to do things
align:start position:0%
now they can also start to do things
like overlay requirements or conditions
align:start position:0%
like overlay requirements or conditions
align:start position:0%
like overlay requirements or conditions
on these to start to understand the
align:start position:0%
on these to start to understand the
align:start position:0%
on these to start to understand the
feasible operating space for process
align:start position:0%
feasible operating space for process
align:start position:0%
feasible operating space for process
design and optimization so for example
align:start position:0%
design and optimization so for example
align:start position:0%
design and optimization so for example
if your growth rate had to be 500
align:start position:0%
if your growth rate had to be 500
align:start position:0%
if your growth rate had to be 500
nanometers per minute or higher
align:start position:0%
nanometers per minute or higher
align:start position:0%
nanometers per minute or higher
you might then have whoops
align:start position:0%
you might then have whoops
align:start position:0%
you might then have whoops
you know kind of shading on this plot
align:start position:0%
you know kind of shading on this plot
align:start position:0%
you know kind of shading on this plot
you would say okay i really need to be
align:start position:0%
you would say okay i really need to be
align:start position:0%
you would say okay i really need to be
above that 500 nanometer per minute
align:start position:0%
above that 500 nanometer per minute
align:start position:0%
above that 500 nanometer per minute
contour and that tells me
align:start position:0%
contour and that tells me
align:start position:0%
contour and that tells me
where i need to be at least with respect
align:start position:0%
where i need to be at least with respect
align:start position:0%
where i need to be at least with respect
to those two parameters in terms of
align:start position:0%
to those two parameters in terms of
align:start position:0%
to those two parameters in terms of
feasible operating space
align:start position:0%
feasible operating space
align:start position:0%
feasible operating space
so already it tells you a lot just
align:start position:0%
so already it tells you a lot just
align:start position:0%
so already it tells you a lot just
looking at these plots of where you
align:start position:0%
looking at these plots of where you
align:start position:0%
looking at these plots of where you
might need to be in order to to achieve
align:start position:0%
might need to be in order to to achieve
align:start position:0%
might need to be in order to to achieve
your multiple goals it may not give you
align:start position:0%
your multiple goals it may not give you
align:start position:0%
your multiple goals it may not give you
a numerical optimum point
align:start position:0%
a numerical optimum point
align:start position:0%
a numerical optimum point
but
align:start position:0%
but
align:start position:0%
but
all by itself lots of looking at the
align:start position:0%
all by itself lots of looking at the
align:start position:0%
all by itself lots of looking at the
data and plotting of the data is really
align:start position:0%
data and plotting of the data is really
align:start position:0%
data and plotting of the data is really
valuable
align:start position:0%
valuable
align:start position:0%
valuable
they do that for not only growth rate
align:start position:0%
they do that for not only growth rate
align:start position:0%
they do that for not only growth rate
and wf6 but things like resistivity
align:start position:0%
and wf6 but things like resistivity
align:start position:0%
and wf6 but things like resistivity
reflectance
align:start position:0%
reflectance
align:start position:0%
reflectance
they start to look and see you know is
align:start position:0%
they start to look and see you know is
align:start position:0%
they start to look and see you know is
the overall design going to be feasible
align:start position:0%
the overall design going to be feasible
align:start position:0%
the overall design going to be feasible
what has the biggest effect on
align:start position:0%
what has the biggest effect on
align:start position:0%
what has the biggest effect on
morphology
align:start position:0%
morphology
align:start position:0%
morphology
those sorts of things
align:start position:0%
align:start position:0%
we found uh
align:start position:0%
we found uh
align:start position:0%
we found uh
if you look at their contour plots most
align:start position:0%
if you look at their contour plots most
align:start position:0%
if you look at their contour plots most
of these contour plots are are
align:start position:0%
of these contour plots are are
align:start position:0%
of these contour plots are are
reasonably
align:start position:0%
reasonably
align:start position:0%
reasonably
you know these are nice
align:start position:0%
you know these are nice
align:start position:0%
you know these are nice
semi-linear kinds of plots
align:start position:0%
semi-linear kinds of plots
align:start position:0%
semi-linear kinds of plots
their uniformity plot these look bizarre
align:start position:0%
their uniformity plot these look bizarre
align:start position:0%
their uniformity plot these look bizarre
right very complex surfaces
align:start position:0%
right very complex surfaces
align:start position:0%
right very complex surfaces
and again that's a reflection that this
align:start position:0%
and again that's a reflection that this
align:start position:0%
and again that's a reflection that this
uniformity metric the spatial uniform
align:start position:0%
uniformity metric the spatial uniform
align:start position:0%
uniformity metric the spatial uniform
internet is a very complex function of
align:start position:0%
internet is a very complex function of
align:start position:0%
internet is a very complex function of
the input parameters
align:start position:0%
align:start position:0%
what they then do finally to round out
align:start position:0%
what they then do finally to round out
align:start position:0%
what they then do finally to round out
the paper is talk a little bit about
align:start position:0%
the paper is talk a little bit about
align:start position:0%
the paper is talk a little bit about
optimization so what they will have is
align:start position:0%
optimization so what they will have is
align:start position:0%
optimization so what they will have is
some of those limits like i i said for
align:start position:0%
some of those limits like i i said for
align:start position:0%
some of those limits like i i said for
example on the growth rate i guess i
align:start position:0%
example on the growth rate i guess i
align:start position:0%
example on the growth rate i guess i
guess it wasn't a 500 nanometer cut off
align:start position:0%
guess it wasn't a 500 nanometer cut off
align:start position:0%
guess it wasn't a 500 nanometer cut off
they needed at least 300 nanometer but
align:start position:0%
they needed at least 300 nanometer but
align:start position:0%
they needed at least 300 nanometer but
they would like to get that
align:start position:0%
they would like to get that
align:start position:0%
they would like to get that
higher is better and they would
align:start position:0%
higher is better and they would
align:start position:0%
higher is better and they would
basically have different
align:start position:0%
basically have different
align:start position:0%
basically have different
lower or upper bounds on each of the
align:start position:0%
lower or upper bounds on each of the
align:start position:0%
lower or upper bounds on each of the
other parameters as well as
align:start position:0%
other parameters as well as
align:start position:0%
other parameters as well as
desires to sort of hit either targets or
align:start position:0%
desires to sort of hit either targets or
align:start position:0%
desires to sort of hit either targets or
make those bigger or smaller
align:start position:0%
make those bigger or smaller
align:start position:0%
make those bigger or smaller
now they don't really describe very much
align:start position:0%
now they don't really describe very much
align:start position:0%
now they don't really describe very much
what their
align:start position:0%
what their
align:start position:0%
what their
what their
align:start position:0%
what their
align:start position:0%
what their
optimization procedure is
align:start position:0%
optimization procedure is
align:start position:0%
optimization procedure is
all they do is report that using the
align:start position:0%
all they do is report that using the
align:start position:0%
all they do is report that using the
model they were able to achieve the
align:start position:0%
model they were able to achieve the
align:start position:0%
model they were able to achieve the
following
align:start position:0%
following
align:start position:0%
following
best
align:start position:0%
best
align:start position:0%
best
condition which they report and are very
align:start position:0%
condition which they report and are very
align:start position:0%
condition which they report and are very
satisfied with so things like you know
align:start position:0%
satisfied with so things like you know
align:start position:0%
satisfied with so things like you know
very high 99 step coverage
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very high 99 step coverage
align:start position:0%
very high 99 step coverage
improved or fairly good
align:start position:0%
align:start position:0%
conversion rate and so on so that's
align:start position:0%
conversion rate and so on so that's
align:start position:0%
conversion rate and so on so that's
actually one of the fun things one could
align:start position:0%
actually one of the fun things one could
align:start position:0%
actually one of the fun things one could
play with i think with the actual data
align:start position:0%
play with i think with the actual data
align:start position:0%
play with i think with the actual data
is apply some of the hill climbing or
align:start position:0%
is apply some of the hill climbing or
align:start position:0%
is apply some of the hill climbing or
other kinds of optimization algorithms
align:start position:0%
other kinds of optimization algorithms
align:start position:0%
other kinds of optimization algorithms
to this data
align:start position:0%
to this data
align:start position:0%
to this data
they do note in the paper that some of
align:start position:0%
they do note in the paper that some of
align:start position:0%
they do note in the paper that some of
these constraints or limits
align:start position:0%
these constraints or limits
align:start position:0%
these constraints or limits
do not greatly reduce their factor space
align:start position:0%
do not greatly reduce their factor space
align:start position:0%
do not greatly reduce their factor space
they do not constrain
align:start position:0%
they do not constrain
align:start position:0%
they do not constrain
where they need to operate and that
align:start position:0%
where they need to operate and that
align:start position:0%
where they need to operate and that
gives them lots of latitude to be able
align:start position:0%
gives them lots of latitude to be able
align:start position:0%
gives them lots of latitude to be able
to that's a good thing that gives them
align:start position:0%
to that's a good thing that gives them
align:start position:0%
to that's a good thing that gives them
latitude to play with those parameters
align:start position:0%
latitude to play with those parameters
align:start position:0%
latitude to play with those parameters
to achieve perhaps some other uh
align:start position:0%
to achieve perhaps some other uh
align:start position:0%
to achieve perhaps some other uh
some other goals
align:start position:0%
some other goals
align:start position:0%
some other goals
okay so what i want to do in the last
align:start position:0%
okay so what i want to do in the last
align:start position:0%
okay so what i want to do in the last
six minutes is switch over here
align:start position:0%
six minutes is switch over here
align:start position:0%
six minutes is switch over here
uh
align:start position:0%
align:start position:0%
so are we ready to do a switch because
align:start position:0%
so are we ready to do a switch because
align:start position:0%
so are we ready to do a switch because
what i want to do is
align:start position:0%
align:start position:0%
okay
align:start position:0%
align:start position:0%
okay
align:start position:0%
align:start position:0%
okay
align:start position:0%
align:start position:0%
so what i'm going to be doing here is
align:start position:0%
so what i'm going to be doing here is
align:start position:0%
so what i'm going to be doing here is
basically showing you some jump
align:start position:0%
basically showing you some jump
align:start position:0%
basically showing you some jump
analysis
align:start position:0%
analysis
align:start position:0%
analysis
of this data
align:start position:0%
align:start position:0%
yep
align:start position:0%
align:start position:0%
oh dear
align:start position:0%
oh dear
align:start position:0%
oh dear
maybe i'm not online
align:start position:0%
align:start position:0%
so what i've basically done is just
align:start position:0%
so what i've basically done is just
align:start position:0%
so what i've basically done is just
sucked in the raw data and their their
align:start position:0%
sucked in the raw data and their their
align:start position:0%
sucked in the raw data and their their
input conditions and their output
align:start position:0%
input conditions and their output
align:start position:0%
input conditions and their output
conditions and we'll play with two
align:start position:0%
conditions and we'll play with two
align:start position:0%
conditions and we'll play with two
things i just want to give you a little
align:start position:0%
things i just want to give you a little
align:start position:0%
things i just want to give you a little
bit of a glimpse here
align:start position:0%
bit of a glimpse here
align:start position:0%
bit of a glimpse here
of
align:start position:0%
of
align:start position:0%
of
okay
align:start position:0%
okay
align:start position:0%
okay
excellent
align:start position:0%
align:start position:0%
okay can you see that in singapore
align:start position:0%
okay can you see that in singapore
align:start position:0%
okay can you see that in singapore
excellent all right i'm psyched
align:start position:0%
excellent all right i'm psyched
align:start position:0%
excellent all right i'm psyched
okay so what i've done here is use jump
align:start position:0%
okay so what i've done here is use jump
align:start position:0%
okay so what i've done here is use jump
jump seven in fact which is a more
align:start position:0%
jump seven in fact which is a more
align:start position:0%
jump seven in fact which is a more
recent version that i'm used to so some
align:start position:0%
recent version that i'm used to so some
align:start position:0%
recent version that i'm used to so some
of the controls are a little bit
align:start position:0%
of the controls are a little bit
align:start position:0%
of the controls are a little bit
different uh by the way i don't know if
align:start position:0%
different uh by the way i don't know if
align:start position:0%
different uh by the way i don't know if
you've played with jump before
align:start position:0%
you've played with jump before
align:start position:0%
you've played with jump before
as you're looking at
align:start position:0%
as you're looking at
align:start position:0%
as you're looking at
your projects
align:start position:0%
your projects
align:start position:0%
your projects
uh there is a 30-day free trial license
align:start position:0%
uh there is a 30-day free trial license
align:start position:0%
uh there is a 30-day free trial license
of the full version of jump so you can
align:start position:0%
of the full version of jump so you can
align:start position:0%
of the full version of jump so you can
download
align:start position:0%
download
align:start position:0%
download
uh the trial version if you want if you
align:start position:0%
uh the trial version if you want if you
align:start position:0%
uh the trial version if you want if you
want to grab it and and play with it uh
align:start position:0%
want to grab it and and play with it uh
align:start position:0%
want to grab it and and play with it uh
especially for the
align:start position:0%
align:start position:0%
for the project i believe there's also
align:start position:0%
for the project i believe there's also
align:start position:0%
for the project i believe there's also
an academic version it's like fifty
align:start position:0%
an academic version it's like fifty
align:start position:0%
an academic version it's like fifty
dollars for a year license or something
align:start position:0%
dollars for a year license or something
align:start position:0%
dollars for a year license or something
which is pretty nice because the
align:start position:0%
which is pretty nice because the
align:start position:0%
which is pretty nice because the
commercial version is
align:start position:0%
commercial version is
align:start position:0%
commercial version is
hundreds of dollars so so it's a nice
align:start position:0%
hundreds of dollars so so it's a nice
align:start position:0%
hundreds of dollars so so it's a nice
package so all i did is i sucked in the
align:start position:0%
package so all i did is i sucked in the
align:start position:0%
package so all i did is i sucked in the
the inputs these are our four input
align:start position:0%
the inputs these are our four input
align:start position:0%
the inputs these are our four input
conditions here and then our growth rate
align:start position:0%
conditions here and then our growth rate
align:start position:0%
conditions here and then our growth rate
and output conditions and i would always
align:start position:0%
and output conditions and i would always
align:start position:0%
and output conditions and i would always
encourage you as a first step to explore
align:start position:0%
encourage you as a first step to explore
align:start position:0%
encourage you as a first step to explore
your data just look at it see if it
align:start position:0%
your data just look at it see if it
align:start position:0%
your data just look at it see if it
makes sense do univariate plots of
align:start position:0%
makes sense do univariate plots of
align:start position:0%
makes sense do univariate plots of
outputs as a function of inputs and by
align:start position:0%
outputs as a function of inputs and by
align:start position:0%
outputs as a function of inputs and by
the way there's some very cool things
align:start position:0%
the way there's some very cool things
align:start position:0%
the way there's some very cool things
like
align:start position:0%
like
align:start position:0%
like
scatter plot 3d where you might take
align:start position:0%
scatter plot 3d where you might take
align:start position:0%
scatter plot 3d where you might take
three of these parameters
align:start position:0%
three of these parameters
align:start position:0%
three of these parameters
and plot them against each other
align:start position:0%
and plot them against each other
align:start position:0%
and plot them against each other
and so you get
align:start position:0%
and so you get
align:start position:0%
and so you get
cool things like this that give you
align:start position:0%
cool things like this that give you
align:start position:0%
cool things like this that give you
a picture of the scatter plot
align:start position:0%
a picture of the scatter plot
align:start position:0%
a picture of the scatter plot
as a function
align:start position:0%
as a function
align:start position:0%
as a function
you know of those three inputs or
align:start position:0%
you know of those three inputs or
align:start position:0%
you know of those three inputs or
i guess this is a scatter plot of three
align:start position:0%
i guess this is a scatter plot of three
align:start position:0%
i guess this is a scatter plot of three
outputs versus each other see if there's
align:start position:0%
outputs versus each other see if there's
align:start position:0%
outputs versus each other see if there's
some correlation between these outputs
align:start position:0%
some correlation between these outputs
align:start position:0%
some correlation between these outputs
you can do it one output as a function
align:start position:0%
you can do it one output as a function
align:start position:0%
you can do it one output as a function
of two others um and so on so one of the
align:start position:0%
of two others um and so on so one of the
align:start position:0%
of two others um and so on so one of the
nice things i like about
align:start position:0%
nice things i like about
align:start position:0%
nice things i like about
jump and you should look for in a good
align:start position:0%
jump and you should look for in a good
align:start position:0%
jump and you should look for in a good
interactive package is that interaction
align:start position:0%
interactive package is that interaction
align:start position:0%
interactive package is that interaction
you can actually interact with the data
align:start position:0%
you can actually interact with the data
align:start position:0%
you can actually interact with the data
and one of the things that excel is not
align:start position:0%
and one of the things that excel is not
align:start position:0%
and one of the things that excel is not
good at so
align:start position:0%
good at so
align:start position:0%
good at so
other tools like matlab are good at this
align:start position:0%
other tools like matlab are good at this
align:start position:0%
other tools like matlab are good at this
as well
align:start position:0%
as well
align:start position:0%
as well
okay so having done that
align:start position:0%
okay so having done that
align:start position:0%
okay so having done that
another thing i like about jump is it
align:start position:0%
another thing i like about jump is it
align:start position:0%
another thing i like about jump is it
allows you to
align:start position:0%
allows you to
align:start position:0%
allows you to
you know
align:start position:0%
you know
align:start position:0%
you know
highlight what are bad data points so i
align:start position:0%
highlight what are bad data points so i
align:start position:0%
highlight what are bad data points so i
don't i can deal with missing data
align:start position:0%
don't i can deal with missing data
align:start position:0%
don't i can deal with missing data
points and jump so i've pulled those
align:start position:0%
points and jump so i've pulled those
align:start position:0%
points and jump so i've pulled those
from the uh from the paper as well
align:start position:0%
from the uh from the paper as well
align:start position:0%
from the uh from the paper as well
and then i can start to do things like
align:start position:0%
and then i can start to do things like
align:start position:0%
and then i can start to do things like
build regression models so there are
align:start position:0%
build regression models so there are
align:start position:0%
build regression models so there are
graph
align:start position:0%
graph
align:start position:0%
graph
oops
align:start position:0%
oops
align:start position:0%
oops
i'm sorry
align:start position:0%
i'm sorry
align:start position:0%
i'm sorry
a analyze
align:start position:0%
a analyze
align:start position:0%
a analyze
model
align:start position:0%
model
align:start position:0%
model
so here i might say okay i want to build
align:start position:0%
so here i might say okay i want to build
align:start position:0%
so here i might say okay i want to build
a model for
align:start position:0%
a model for
align:start position:0%
a model for
i'll just pick one for the moment growth
align:start position:0%
i'll just pick one for the moment growth
align:start position:0%
i'll just pick one for the moment growth
rate as a function of these four input
align:start position:0%
rate as a function of these four input
align:start position:0%
rate as a function of these four input
parameters and i can do things like say
align:start position:0%
parameters and i can do things like say
align:start position:0%
parameters and i can do things like say
i really am doing a response surface
align:start position:0%
i really am doing a response surface
align:start position:0%
i really am doing a response surface
model up to polynomial degree 2
align:start position:0%
model up to polynomial degree 2
align:start position:0%
model up to polynomial degree 2
and it builds for me
align:start position:0%
and it builds for me
align:start position:0%
and it builds for me
the template if you will for all of the
align:start position:0%
the template if you will for all of the
align:start position:0%
the template if you will for all of the
interaction terms the square terms all
align:start position:0%
interaction terms the square terms all
align:start position:0%
interaction terms the square terms all
of those things that if you were doing
align:start position:0%
of those things that if you were doing
align:start position:0%
of those things that if you were doing
this in excel you would have to you know
align:start position:0%
this in excel you would have to you know
align:start position:0%
this in excel you would have to you know
yourself build those fictional
align:start position:0%
yourself build those fictional
align:start position:0%
yourself build those fictional
input parameters but here i'm basically
align:start position:0%
input parameters but here i'm basically
align:start position:0%
input parameters but here i'm basically
telling it directly what the structure
align:start position:0%
telling it directly what the structure
align:start position:0%
telling it directly what the structure
of the model i want to fit is
align:start position:0%
of the model i want to fit is
align:start position:0%
of the model i want to fit is
now one thing that we haven't talked a
align:start position:0%
now one thing that we haven't talked a
align:start position:0%
now one thing that we haven't talked a
lot about that i wanted to to highlight
align:start position:0%
lot about that i wanted to to highlight
align:start position:0%
lot about that i wanted to to highlight
is
align:start position:0%
is
align:start position:0%
is
how to go about building the model i
align:start position:0%
how to go about building the model i
align:start position:0%
how to go about building the model i
could go ahead and do a full anova a
align:start position:0%
could go ahead and do a full anova a
align:start position:0%
could go ahead and do a full anova a
full regression and a nova and look at
align:start position:0%
full regression and a nova and look at
align:start position:0%
full regression and a nova and look at
each of the terms and decide what's
align:start position:0%
each of the terms and decide what's
align:start position:0%
each of the terms and decide what's
significant and what's not
align:start position:0%
significant and what's not
align:start position:0%
significant and what's not
there is a
align:start position:0%
there is a
align:start position:0%
there is a
stepwise
align:start position:0%
stepwise
align:start position:0%
stepwise
version of that same process
align:start position:0%
version of that same process
align:start position:0%
version of that same process
where
align:start position:0%
where
align:start position:0%
where
essentially
align:start position:0%
essentially
align:start position:0%
essentially
what we do is one parameter at a time
align:start position:0%
what we do is one parameter at a time
align:start position:0%
what we do is one parameter at a time
add
align:start position:0%
align:start position:0%
i wonder if i lost my
align:start position:0%
align:start position:0%
okay can you see can you see it uh just
align:start position:0%
okay can you see can you see it uh just
align:start position:0%
okay can you see can you see it uh just
uh maybe we'll just transmit i'm i'll
align:start position:0%
uh maybe we'll just transmit i'm i'll
align:start position:0%
uh maybe we'll just transmit i'm i'll
i'll try
align:start position:0%
i'll try
align:start position:0%
i'll try
it's not accepting the net meeting
align:start position:0%
align:start position:0%
yeah it won't look as good but let's
align:start position:0%
yeah it won't look as good but let's
align:start position:0%
yeah it won't look as good but let's
let's at least do that since we only
align:start position:0%
let's at least do that since we only
align:start position:0%
let's at least do that since we only
have a couple more minutes
align:start position:0%
align:start position:0%
yeah
align:start position:0%
yeah
align:start position:0%
yeah
yeah that's fine
align:start position:0%
yeah that's fine
align:start position:0%
yeah that's fine
so we're just going to project so you
align:start position:0%
so we're just going to project so you
align:start position:0%
so we're just going to project so you
can see see kind of crudely on the
align:start position:0%
can see see kind of crudely on the
align:start position:0%
can see see kind of crudely on the
screen but the basic idea of this
align:start position:0%
screen but the basic idea of this
align:start position:0%
screen but the basic idea of this
stepwise regression is that you can
align:start position:0%
stepwise regression is that you can
align:start position:0%
stepwise regression is that you can
set the significance level for accepting
align:start position:0%
set the significance level for accepting
align:start position:0%
set the significance level for accepting
a model parameter
align:start position:0%
a model parameter
align:start position:0%
a model parameter
and then one step at a time so for
align:start position:0%
and then one step at a time so for
align:start position:0%
and then one step at a time so for
example if i do this step
align:start position:0%
example if i do this step
align:start position:0%
example if i do this step
it's it's pulling in
align:start position:0%
it's it's pulling in
align:start position:0%
it's it's pulling in
additional coefficients that are of
align:start position:0%
additional coefficients that are of
align:start position:0%
additional coefficients that are of
acceptable significance and in fact i
align:start position:0%
acceptable significance and in fact i
align:start position:0%
acceptable significance and in fact i
think the probability to enter it needs
align:start position:0%
think the probability to enter it needs
align:start position:0%
think the probability to enter it needs
to be
align:start position:0%
to be
align:start position:0%
to be
it's set to 0.25 this is 75 confidence
align:start position:0%
it's set to 0.25 this is 75 confidence
align:start position:0%
it's set to 0.25 this is 75 confidence
level needs to be achieved in order to
align:start position:0%
level needs to be achieved in order to
align:start position:0%
level needs to be achieved in order to
accept
align:start position:0%
accept
align:start position:0%
accept
the model and i can keep stepping
align:start position:0%
the model and i can keep stepping
align:start position:0%
the model and i can keep stepping
through and it iteratively is basically
align:start position:0%
through and it iteratively is basically
align:start position:0%
through and it iteratively is basically
making determinations based on
align:start position:0%
making determinations based on
align:start position:0%
making determinations based on
my setting of significance values to
align:start position:0%
my setting of significance values to
align:start position:0%
my setting of significance values to
pull in or discard model terms
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pull in or discard model terms
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pull in or discard model terms
and if it discards a model term then it
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and if it discards a model term then it
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and if it discards a model term then it
takes those degrees of freedom throws
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takes those degrees of freedom throws
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takes those degrees of freedom throws
them back into the error term
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them back into the error term
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them back into the error term
not purely as a function of you know the
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not purely as a function of you know the
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not purely as a function of you know the
replicate error but it gives it it does
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replicate error but it gives it it does
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replicate error but it gives it it does
this kind of stepwise
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this kind of stepwise
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this kind of stepwise
multiple regression in order to build
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multiple regression in order to build
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multiple regression in order to build
the overall model
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the overall model
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the overall model
so here you can see for example for the
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so here you can see for example for the
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so here you can see for example for the
this particular output of growth rate
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this particular output of growth rate
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this particular output of growth rate
you can see which terms end up being
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you can see which terms end up being
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you can see which terms end up being
significant you've got things like
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significant you've got things like
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significant you've got things like
temperature squared
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temperature squared
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temperature squared
and temperature h2 pressure interactions
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and temperature h2 pressure interactions
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and temperature h2 pressure interactions
okay doing that you can then accept one
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okay doing that you can then accept one
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okay doing that you can then accept one
of these models and build another column
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of these models and build another column
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of these models and build another column
in
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in jump that is in fact the prediction
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in jump that is in fact the prediction
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in jump that is in fact the prediction
formula for one of these parameters so
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formula for one of these parameters so
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formula for one of these parameters so
for example this might be the prediction
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for example this might be the prediction
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for example this might be the prediction
formula for growth rate it now has that
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formula for growth rate it now has that
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formula for growth rate it now has that
polynomial model in it and one of the
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polynomial model in it and one of the
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polynomial model in it and one of the
cool things about jump just so that you
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cool things about jump just so that you
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cool things about jump just so that you
know it's there and then you can play
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know it's there and then you can play
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know it's there and then you can play
with it
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with it
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with it
or you can also now start to go in and
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or you can also now start to go in and
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or you can also now start to go in and
do things like
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do things like
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do things like
profiler or contour profiler for
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profiler or contour profiler for
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profiler or contour profiler for
optimization and exploration of that
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optimization and exploration of that
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optimization and exploration of that
design space
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design space
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design space
so doing a a simple
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so doing a a simple
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so doing a a simple
one parameter profiler i might say okay
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one parameter profiler i might say okay
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one parameter profiler i might say okay
i want to profile growth rate and row
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i want to profile growth rate and row
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i want to profile growth rate and row
i'll just do those two
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i'll just do those two
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i'll just do those two
parameters
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parameters
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parameters
and what i've got is this prediction
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and what i've got is this prediction
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and what i've got is this prediction
profiler that has
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profiler that has
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profiler that has
the
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the
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the
the two outputs growth rate is the first
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the two outputs growth rate is the first
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the two outputs growth rate is the first
row and
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row and
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row and
whatever it was
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whatever it was
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whatever it was
is it i can't remember what the second
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is it i can't remember what the second
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is it i can't remember what the second
one was it's a little hard to see there
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one was it's a little hard to see there
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one was it's a little hard to see there
formula row okay so the resistance and
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formula row okay so the resistance and
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formula row okay so the resistance and
the growth rate as a function of each of
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the growth rate as a function of each of
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the growth rate as a function of each of
the individual parameters so this is the
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the individual parameters so this is the
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the individual parameters so this is the
univariate dependence depending on my
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univariate dependence depending on my
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univariate dependence depending on my
current operating point
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current operating point
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current operating point
and then i can move that operating point
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and then i can move that operating point
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and then i can move that operating point
and see how the other parameters
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and see how the other parameters
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and see how the other parameters
change
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change
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change
so as i change temperature
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so as i change temperature
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so as i change temperature
how does that affect my my outputs
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how does that affect my my outputs
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how does that affect my my outputs
okay so it's kind of fun you can play
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okay so it's kind of fun you can play
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okay so it's kind of fun you can play
around
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around
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around
and see how
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and see how
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and see how
how those things happen you can also do
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how those things happen you can also do
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how those things happen you can also do
essentially close to what they did in
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essentially close to what they did in
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essentially close to what they did in
the paper and do contour plot
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the paper and do contour plot
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the paper and do contour plot
explorations so i might for example do
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explorations so i might for example do
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explorations so i might for example do
those same parameters
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yeah that's fine
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yeah that's fine
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yeah that's fine
and actually now plot the current
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and actually now plot the current
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and actually now plot the current
operating point the response
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operating point the response
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operating point the response
of
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of
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of
growth rate row
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growth rate row
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growth rate row
resistance uniformity
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resistance uniformity
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resistance uniformity
in the design space so that i can see
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in the design space so that i can see
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in the design space so that i can see
how those things change as i change my
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how those things change as i change my
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how those things change as i change my
gap spacing or my temperature and i can
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gap spacing or my temperature and i can
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gap spacing or my temperature and i can
also apply things like the limits maybe
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also apply things like the limits maybe
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also apply things like the limits maybe
i have a low limit of 500 for the growth
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i have a low limit of 500 for the growth
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i have a low limit of 500 for the growth
rate i need again 500 nanometers and
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rate i need again 500 nanometers and
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rate i need again 500 nanometers and
what it does is it'll start to shade out
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what it does is it'll start to shade out
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what it does is it'll start to shade out
unallowable regions to achieve those
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unallowable regions to achieve those
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unallowable regions to achieve those
kinds of goals
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kinds of goals
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kinds of goals
so this is just a nice interactive tool
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so this is just a nice interactive tool
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so this is just a nice interactive tool
that lets you do that kind of
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that lets you do that kind of
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that lets you do that kind of
uh dynamic exploration of the optimism
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uh dynamic exploration of the optimism
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uh dynamic exploration of the optimism
of the optimal space
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of the optimal space
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of the optimal space
so i'll put the uh put that data uh up
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so i'll put the uh put that data uh up
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so i'll put the uh put that data uh up
on the
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on the
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on the
the web as well and you can play around
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the web as well and you can play around
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the web as well and you can play around
with it but this is uh uh kind of where
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with it but this is uh uh kind of where
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with it but this is uh uh kind of where
i'll i'll leave it for you to explore
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i'll i'll leave it for you to explore
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i'll i'll leave it for you to explore
more if you want to with jump either on
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more if you want to with jump either on
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more if you want to with jump either on
this data or
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this data or
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this data or
perhaps more efficiently on your team
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perhaps more efficiently on your team
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perhaps more efficiently on your team
project data
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project data
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project data
but wanted to get get this case study so
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but wanted to get get this case study so
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but wanted to get get this case study so
you know some of the capabilities so i
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you know some of the capabilities so i
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you know some of the capabilities so i
think with that i'm going to break
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think with that i'm going to break
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think with that i'm going to break
and we can chat a little bit if people
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and we can chat a little bit if people
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and we can chat a little bit if people
have questions about team projects and
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have questions about team projects and
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have questions about team projects and
and whatnot