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intrinsic magnetic field : the magnetic field generated due to the intrinsic spin of electrons
https://openstax.org/books/college-physics-2e/pages/30-glossary
intrinsic spin : the internal or intrinsic angular momentum of electrons
https://openstax.org/books/college-physics-2e/pages/30-glossary
laser : acronym for light amplification by stimulated emission of radiation
https://openstax.org/books/college-physics-2e/pages/30-glossary
magnitude of the intrinsic (internal) spin angular momentum : given byS=ss+1h2πS=ss+1h2π
https://openstax.org/books/college-physics-2e/pages/30-glossary
metastable : a state whose lifetime is an order of magnitude longer than the most short-lived states
https://openstax.org/books/college-physics-2e/pages/30-glossary
orbital angular momentum : an angular momentum that corresponds to the quantum analog of classical angular momentum
https://openstax.org/books/college-physics-2e/pages/30-glossary
orbital magnetic field : the magnetic field generated due to the orbital motion of electrons
https://openstax.org/books/college-physics-2e/pages/30-glossary
Pauli exclusion principle : a principle that states that no two electrons can have the same set of quantum numbers; that is, no two electrons can be in the same state
https://openstax.org/books/college-physics-2e/pages/30-glossary
phosphorescence : the de-excitation of a metastable state
https://openstax.org/books/college-physics-2e/pages/30-glossary
planetary model of the atom : the most familiar model or illustration of the structure of the atom
https://openstax.org/books/college-physics-2e/pages/30-glossary
population inversion : the condition in which the majority of atoms in a sample are in a metastable state
https://openstax.org/books/college-physics-2e/pages/30-glossary
quantum numbers : the values of quantized entities, such as energy and angular momentum
https://openstax.org/books/college-physics-2e/pages/30-glossary
Rydberg constant : a physical constant related to the atomic spectra with an established value of1.097×107m−11.097×107m−1
https://openstax.org/books/college-physics-2e/pages/30-glossary
shell : a probability cloud for electrons that has a single principal quantum number
https://openstax.org/books/college-physics-2e/pages/30-glossary
space quantization : the fact that the orbital angular momentum can have only certain directions
https://openstax.org/books/college-physics-2e/pages/30-glossary
spin projection quantum number : quantum number that can be used to calculate the intrinsic electron angular momentum along thezz-axis
https://openstax.org/books/college-physics-2e/pages/30-glossary
spin quantum number : the quantum number that parameterizes the intrinsic angular momentum (or spin angular momentum, or simply spin) of a given particle
https://openstax.org/books/college-physics-2e/pages/30-glossary
stimulated emission : emission by atom or molecule in which an excited state is stimulated to decay, most readily caused by a photon of the same energy that is necessary to excite the state
https://openstax.org/books/college-physics-2e/pages/30-glossary
subshell : the probability cloud for electrons that has a single angular momentum quantum numberll
https://openstax.org/books/college-physics-2e/pages/30-glossary
x rays : a form of electromagnetic radiation
https://openstax.org/books/college-physics-2e/pages/30-glossary
x-ray diffraction : a technique that provides the detailed information about crystallographic structure of natural and manufactured materials
https://openstax.org/books/college-physics-2e/pages/30-glossary
z-component of spin angular momentum : component of intrinsic electron spin along thezz-axis
https://openstax.org/books/college-physics-2e/pages/30-glossary
z-component of the angular momentum : component of orbital angular momentum of electron along thezz-axis
https://openstax.org/books/college-physics-2e/pages/30-glossary
Zeeman effect : the effect of external magnetic fields on spectral lines
https://openstax.org/books/college-physics-2e/pages/30-glossary
Atoms are the smallest unit of elements; atoms combine to form molecules, the smallest unit of compounds.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The first direct observation of atoms was in Brownian motion.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Analysis of Brownian motion gave accurate sizes for atoms (10−10m10−10mon average) and a precise value for Avogadro’s number.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Atoms are composed of negatively charged electrons, first proved to exist in cathode-ray-tube experiments, and a positively charged nucleus.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
All electrons are identical and have a charge-to-mass ratio ofqeme=−1.76×1011C/kg.qeme=−1.76×1011C/kg.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The positive charge in the nuclei is carried by particles called protons, which have a charge-to-mass ratio ofqpmp=9.57×107C/kg.qpmp=9.57×107C/kg.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Mass of electron,me=9.11×10−31kg.me=9.11×10−31kg.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Mass of proton,mp=1.67×10−27kg.mp=1.67×10−27kg.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The planetary model of the atom pictures electrons orbiting the nucleus in the same way that planets orbit the sun.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The planetary model of the atom pictures electrons orbiting the nucleus in the way that planets orbit the sun. Bohr used the planetary model to develop the first reasonable theory of hydrogen, the simplest atom. Atomic and molecular spectra are quantized, with hydrogen spectrum wavelengths given by the formula1λ=R1nf2...
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The constantsniniandnfnfare positive integers, andninimust be greater thannfnf.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Bohr correctly proposed that the energy and radii of the orbits of electrons in atoms are quantized, with energy for transitions between orbits given byΔE=hf=Ei−Ef,ΔE=hf=Ei−Ef,whereΔEΔEis the change in energy between the initial and final orbits andhfhfis the energy of an absorbed or emitted photon. It is usefu...
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Bohr proposed that the allowed orbits are circular and must have quantized orbital angular momentum given byL=mevrn=nh2πn=1, 2, 3 …,L=mevrn=nh2πn=1, 2, 3 …,whereLLis the angular momentum,rnrnis the radius of thenthnthorbit, andhhis Planck’s constant. For all one-electron (hydrogen-like) atoms, the radius of an ...
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Furthermore, the energies of hydrogen-like atoms are given byEn=−Z2n2E0n=1, 2, 3 ...,En=−Z2n2E0n=1, 2, 3 ...,whereE0E0is the ground-state energy and is given byE0=2π2qe4mek2h2=13.6 eV.E0=2π2qe4mek2h2=13.6 eV.Thus, for hydrogen,En=−13.6 eVn2n=1, 2, 3 ....En=−13.6 eVn2n=1, 2, 3 ....
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The Bohr Theory gives accurate values for the energy levels in hydrogen-like atoms, but it has been improved upon in several respects.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
X rays are relatively high-frequency EM radiation. They are produced by transitions between inner-shell electron levels, which produce x rays characteristic of the atomic element, or by decelerating electrons.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
X rays have many uses, including medical diagnostics and x-ray diffraction.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
An important atomic process is fluorescence, defined to be any process in which an atom or molecule is excited by absorbing a photon of a given energy and de-excited by emitting a photon of a lower energy.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Some states live much longer than others and are termed metastable.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Phosphorescence is the de-excitation of a metastable state.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Lasers produce coherent single-wavelength EM radiation by stimulated emission, in which a metastable state is stimulated to decay.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Lasing requires a population inversion, in which a majority of the atoms or molecules are in their metastable state.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Quantization of orbital energy is caused by the wave nature of matter. Allowed orbits in atoms occur for constructive interference of electrons in the orbit, requiring an integral number of wavelengths to fit in an orbit’s circumference; that is,nλn=2πrnn=1, 2, 3 ...,nλn=2πrnn=1, 2, 3 ...,whereλnλnis the electr...
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Owing to the wave nature of electrons and the Heisenberg uncertainty principle, there are no well-defined orbits; rather, there are clouds of probability.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Bohr correctly proposed that the energy and radii of the orbits of electrons in atoms are quantized, with energy for transitions between orbits given byΔE=hf=Ei−Ef,ΔE=hf=Ei−Ef,whereΔEΔEis the change in energy between the initial and final orbits andhfhfis the energy of an absorbed or emitted photon.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
It is useful to plot orbit energies on a vertical graph called an energy-level diagram.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The allowed orbits are circular, Bohr proposed, and must have quantized orbital angular momentum given byL=mevrn=nh2πn=1, 2, 3 ...,L=mevrn=nh2πn=1, 2, 3 ...,whereLLis the angular momentum,rnrnis the radius of orbitnn, andhhis Planck’s constant.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The Zeeman effect—the splitting of lines when a magnetic field is applied—is caused by other quantized entities in atoms.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Both the magnitude and direction of orbital angular momentum are quantized.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The same is true for the magnitude and direction of the intrinsic spin of electrons.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
Quantum numbers are used to express the allowed values of quantized entities. The principal quantum numbernnlabels the basic states of a system and is given byn=1,2,3,....n=1,2,3,....
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The magnitude of angular momentum is given byL=ll+1h2πl=0, 1, 2, ...,n−1,L=ll+1h2πl=0, 1, 2, ...,n−1,wherellis the angular momentum quantum number. The direction of angular momentum is quantized, in that its component along an axis defined by a magnetic field, called thezz-axis is given byLz=mlh2πml=−l,−l+1,...
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The state of a system is completely described by a complete set of quantum numbers. This set is written asn, l,ml,msn, l,ml,ms.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The Pauli exclusion principle says that no two electrons can have the same set of quantum numbers; that is, no two electrons can be in the same state.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
This exclusion limits the number of electrons in atomic shells and subshells. Each value ofnncorresponds to a shell, and each value ofllcorresponds to a subshell.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The maximum number of electrons that can be in a subshell is22l+122l+1.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
The maximum number of electrons that can be in a shell is2n22n2.
https://openstax.org/books/college-physics-2e/pages/30-section-summary
activity : the rate of decay for radioactive nuclides
https://openstax.org/books/college-physics-2e/pages/31-glossary
alpha decay : type of radioactive decay in which an atomic nucleus emits an alpha particle
https://openstax.org/books/college-physics-2e/pages/31-glossary
alpha rays : one of the types of rays emitted from the nucleus of an atom
https://openstax.org/books/college-physics-2e/pages/31-glossary
antielectron : another term for positron
https://openstax.org/books/college-physics-2e/pages/31-glossary
antimatter : composed of antiparticles
https://openstax.org/books/college-physics-2e/pages/31-glossary
atomic mass : the total mass of the protons, neutrons, and electrons in a single atom
https://openstax.org/books/college-physics-2e/pages/31-glossary
atomic number : number of protons in a nucleus
https://openstax.org/books/college-physics-2e/pages/31-glossary
barrier penetration : quantum mechanical effect whereby a particle has a nonzero probability to cross through a potential energy barrier despite not having sufficient energy to pass over the barrier; also called quantum mechanical tunneling
https://openstax.org/books/college-physics-2e/pages/31-glossary
becquerel : SI unit for rate of decay of a radioactive material
https://openstax.org/books/college-physics-2e/pages/31-glossary
beta decay : type of radioactive decay in which an atomic nucleus emits a beta particle
https://openstax.org/books/college-physics-2e/pages/31-glossary
beta rays : one of the types of rays emitted from the nucleus of an atom
https://openstax.org/books/college-physics-2e/pages/31-glossary
binding energy : the energy needed to separate nucleus into individual protons and neutrons
https://openstax.org/books/college-physics-2e/pages/31-glossary
binding energy per nucleon : the binding energy calculated per nucleon; it reveals the details of the nuclear force—larger theBE/ABE/A, the more stable the nucleus
https://openstax.org/books/college-physics-2e/pages/31-glossary
carbon-14 dating : a radioactive dating technique based on the radioactivity of carbon-14
https://openstax.org/books/college-physics-2e/pages/31-glossary
chart of the nuclides : a table comprising stable and unstable nuclei
https://openstax.org/books/college-physics-2e/pages/31-glossary
curie : the activity of 1g of226Ra226Ra, equal to3.70×1010Bq3.70×1010Bq
https://openstax.org/books/college-physics-2e/pages/31-glossary
daughter : the nucleus obtained when parent nucleus decays and produces another nucleus following the rules and the conservation laws
https://openstax.org/books/college-physics-2e/pages/31-glossary
decay : the process by which an atomic nucleus of an unstable atom loses mass and energy by emitting ionizing particles
https://openstax.org/books/college-physics-2e/pages/31-glossary
decay constant : quantity that is inversely proportional to the half-life and that is used in equation for number of nuclei as a function of time
https://openstax.org/books/college-physics-2e/pages/31-glossary
decay equation : the equation to find out how much of a radioactive material is left after a given period of time
https://openstax.org/books/college-physics-2e/pages/31-glossary
decay series : process whereby subsequent nuclides decay until a stable nuclide is produced
https://openstax.org/books/college-physics-2e/pages/31-glossary
electron capture : the process in which a proton-rich nuclide absorbs an inner atomic electron and simultaneously emits a neutrino
https://openstax.org/books/college-physics-2e/pages/31-glossary
electron capture equation : equation representing the electron capture
https://openstax.org/books/college-physics-2e/pages/31-glossary
electron’s antineutrino : antiparticle of electron’s neutrino
https://openstax.org/books/college-physics-2e/pages/31-glossary
electron’s neutrino : a subatomic elementary particle which has no net electric charge
https://openstax.org/books/college-physics-2e/pages/31-glossary
gamma decay : type of radioactive decay in which an atomic nucleus emits a gamma particle
https://openstax.org/books/college-physics-2e/pages/31-glossary
gamma rays : one of the types of rays emitted from the nucleus of an atom
https://openstax.org/books/college-physics-2e/pages/31-glossary
Geiger tube : a very common radiation detector that usually gives an audio output
https://openstax.org/books/college-physics-2e/pages/31-glossary
half-life : the time in which there is a 50% chance that a nucleus will decay
https://openstax.org/books/college-physics-2e/pages/31-glossary
ionizing radiation : radiation (whether nuclear in origin or not) that produces ionization whether nuclear in origin or not
https://openstax.org/books/college-physics-2e/pages/31-glossary
isotopes : nuclei having the sameZZand differentNNs
https://openstax.org/books/college-physics-2e/pages/31-glossary
magic numbers : a number that indicates a shell structure for the nucleus in which closed shells are more stable
https://openstax.org/books/college-physics-2e/pages/31-glossary
mass number : number of nucleons in a nucleus
https://openstax.org/books/college-physics-2e/pages/31-glossary
neutrino : an electrically neutral, weakly interacting elementary subatomic particle
https://openstax.org/books/college-physics-2e/pages/31-glossary
neutron : a neutral particle that is found in a nucleus
https://openstax.org/books/college-physics-2e/pages/31-glossary
nuclear radiation : rays that originate in the nuclei of atoms, the first examples of which were discovered by Becquerel
https://openstax.org/books/college-physics-2e/pages/31-glossary
nuclear reaction energy : the energy created in a nuclear reaction
https://openstax.org/books/college-physics-2e/pages/31-glossary
nucleons : the particles found inside nuclei
https://openstax.org/books/college-physics-2e/pages/31-glossary
nucleus : a region consisting of protons and neutrons at the center of an atom
https://openstax.org/books/college-physics-2e/pages/31-glossary