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Tt is a little dificult to begin at once with the present view, so we shall first |
see how things looked in about 1920 and then take a few things out of that |
picture. Before 1920, our world picture was something like this: The “stage” on |
which the universe øgoes is the three-dimensional spøce of geometry, as described |
by Euclid, and things change in a medium called #ne. The elements on the |
stage are øarf/cles, for example the atoms, which have some properiies. Eirst, the |
property of inertia: If a particle is moving it keeps on going in the same direction |
unless ƒorces act upon it. The second element, then, is ƒorces, which were then |
thought to be of two varieties: First, an enormously complicated, detailed kind |
of interaction force which held the various atoms in diferent combinations in a |
complicated way, which determined whether salt would dissolve faster or sÌlower |
when we raise the temperature. The other force that was known was a long-range |
interaction—a smooth and quiet attraction—which varied inversely as the square |
of the distance, and was called graiation. 'Phis law was known and was very |
simple. Whyụ things remain in motion when they are moving, or h# there is a |
law of gravitation was, of course, not known. |
A description of nature is what we are concerned with here. EFrom this point |
of view, then, a gas, and indeed all matter, is a myriad of moving particles. Thus |
many of the things we saw while standing at the seashore can immediately be |
connected. Eirst the pressure: this comes from the collisions of the atoms with the |
walls or whatever; the drift of the atoms, if they are all moving in one direction |
on the average, is wind; the random internal motions are the heøf. Thhere are |
wawves of excess density, where too many particles have collected, and so as they |
rush of they push up piles of particles farther out, and so on. This wave of excess |
--- Trang 55 --- |
density is sound. It is a tremendous achievement to be able to understand so |
much. Some of these things were described in the previous chapter. |
What kznds of particles are there? "There were considered to be 92 at that |
time: 92 different kinds of atoms were ultimately discovered. They had difÑferent |
names associated with their chemical properties. |
The next part of the problem was, 0haf are the short-range ƒorces? Why does |
carbon attract one oxygen or perhaps wo oxygens, but not three oxygens? What |
1s the machinery of interaction bebtween atoms? Is it gravitation? 'Phe answer |
is no. Gravity is entirely too weak. But imagine a force analogous to gravity, |
varying inversely with the square of the distance, but enormousÌly more powerful |
and having one difference. In gravity everything attracts everything else, but |
now imagine that there are £o kinds of “things,” and that this new force (which |
is the electrical force, oŸ course) has the property that likes repel but unlikes |
a#trac¿. The “thing” that carries this strong interaction is called charge. |
'Then what do we have? Suppose that we have two unlikes that attract each |
other, a plus and a minus, and that they stick very close together. Suppose we |
have another charge some distance away. Would it feel any attraction? It would |
feel pracficall none, because 1f the first two are equal in size, the attraction for |
the one and the repulsion for the other balance out. Therefore there is very little |
force at any appreciable distance. Ôn the other hand, if we get 0erw close with |
the extra charge, œftraction arises, because the repulsion of likes and attraction |
of unlikes will tend to bring unlikes closer together and push likes farther apart. |
Then the repulsion will be /ess than the attraction. Thịs is the reason why the |
atoms, which are constituted out of plus and minus electric charges, feel very |
little force when they are separated by appreciable distance (aside from gravity). |
'When they come close together, they can “see inside” each other and rearrange |
their charges, with the result that they have a very strong interaction. 'Phe |
ultimate basis of an interaction between the atoms is elecfrical. Since this force |
1s so enormous, all the plusses and all minuses will normally come together in |
as intimate a combination as they can. All things, even ourselves, are made of |
ñne-grained, enormously strongly interacting plus and minus parts, all neatly |
balanced out. Ônce in a while, by accident, we may rub of a few minuses or a |
few plusses (usually it is easier to rub of minuses), and in those circumstances |
we fñnd the force of electricity nbalanced, and we can then see the efects of these |
electrical attractions. |
To give an idea of how much stronger electricity is than gravitation, consider |
two grains of sand, a millimeter across, thirty meters apart. If the force between |
--- Trang 56 --- |
them were not balanced, if everything attracted everything else instead of likes |
repelling, so that there were no cancellation, how much force would there be? |
'There would be a force of three rmillion tons between the twol You see, there is |
very, 0er little excess or deficit of the number of negative or positive charges |
necessary to produce appreciable electrical efects. 'This is, of course, the reason |
why you cannot see the diference between an electrically charged or uncharged |
thing—so few particles are involved that they hardly make a diference in the |
weight or size of an object. |
With this picture the atoms were easier to understand. 'They were thought |
to have a “nucleus” at the center, which is positively electrically charged and |
very massive, and the nucleus is surrounded by a certain number of “electrons” |
which are very light and negatively charged. Now we go a little ahead in our |
story to remark that in the nucleus itself there were found two kinds of particles, |
protons and neutrons, almost of the same weight and very heavy. 'Phe protons |
are electrically charged and the neutrons are neutral. If we have an atom with six |
protons inside its nucleus, and this is surrounded by six electrons (the negative |
particles in the ordinary world of matter are all electrons, and these are very |
light compared with the protons and neutrons which make nuclei), this would be |
atom number six in the chemical table, and i% is called carbon. Atom number |
eight ¡is called oxygen, etc., because the chemical properties depend upon the |
electrons on the ow#s¿đe, and in fact only upon hoa rmamy electrons there are. 5o |
the chemzcal properties of a substance depend only on a number, the number |
of electrons. (The whole list of elements of the chemists really could have been |
called 1, 2, 3, 4, 5, etc. Instead of saying “carbon,” we could say “element six,” |
meaning six electrons, but of course, when the elements were first discovered, it |
was not known that they could be numbered that way, and secondly, it would |
make everything look rather complicated. It is better to have names and symbols |
for these things, rather than to call everything by number.) |
More was discovered about the electrical force. The natural interpretation of |
electrical interaction is that two objects simply attract each other: plus against |
minus. However, this was discovered to be an inadequate idea to represent ït. |
A more adequate representation of the situation is to say that the existence of |
the positive charge, in some sense, distorts, or creates a “condition” in space, |
so that when we put the negative charge in, it feels a force. 'Phis potentiality |
for producing a force is called an electric ficld. When we put an electron in an |
electric field, we say it is “pulled” We then have two rules: (a) charges make a |
fñeld, and (b) charges in fields have forces on them and move. "The reason for |
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