Index
A
Anharmonicity
SHO approximation, 267–271
vibrational
corrections, 316–317
energy, 281
Atomic gas thermodynamic functions
excited electronic states, 233–235
no thermally accessible excited electronic
states, 231–233
Atomic systems
atomic gas thermodynamic functions,
231–235
chemical potential, 221–224
electronic and nuclear spin states, 224–231
ground electronic term atoms, 213–221
monatomic solids, 242–250
SHO (see Simple harmonic oscillator
(SHO))
B
Blackbody, 9, 63, 575–583
Bose–Einstein (BE) statistics
chemical potential, 567–568
condensation, 569–575
ideal Bose gas, 564–567
photon gas, 575–583
quantum-statistical partition functions, 514
zeta functions, 523
Boson
Bose–Einstein particles, 527
and fermions, 226
QM symmetry requirement, 514
wavefunction, 285
C
Canonical ensemble
Boltzmann
distribution, 143
probability, 141
closed systems
canonical partition function, 179–181
gravitational field, 171
heat capacity at constant volume, 172
internal energy, thermodynamics, 170
microcanonical ensemble, 182–184
N -particle canonical ensemble
expression, 172
partition function, 170
single-particle, 169
thermodynamics, 173–179
dielectric thermodynamic system, 420–426
energy levels, 139–140
equilibrium partition function, 142
fractional populations, 143
isolated systems, 139
microcanonical, 182–184
N -particle systems, 152–154
partition function, 151–152
silicon and germanium atoms, 144–146
Taylor series, 140–141
thermal contact, 158
thermodynamics, 142
translational states, 146–151
© Springer Nature Switzerland AG 2021
F. R. W. McCourt, Statistical Thermodynamics for Pure and Applied Sciences,
https://doi.org/10.1007/978-3-030-52006-9
677
A
Anharmonicity
SHO approximation, 267–271
vibrational
corrections, 316–317
energy, 281
Atomic gas thermodynamic functions
excited electronic states, 233–235
no thermally accessible excited electronic
states, 231–233
Atomic systems
atomic gas thermodynamic functions,
231–235
chemical potential, 221–224
electronic and nuclear spin states, 224–231
ground electronic term atoms, 213–221
monatomic solids, 242–250
SHO (see Simple harmonic oscillator
(SHO))
B
Blackbody, 9, 63, 575–583
Bose–Einstein (BE) statistics
chemical potential, 567–568
condensation, 569–575
ideal Bose gas, 564–567
photon gas, 575–583
quantum-statistical partition functions, 514
zeta functions, 523
Boson
Bose–Einstein particles, 527
and fermions, 226
QM symmetry requirement, 514
wavefunction, 285
C
Canonical ensemble
Boltzmann
distribution, 143
probability, 141
closed systems
canonical partition function, 179–181
gravitational field, 171
heat capacity at constant volume, 172
internal energy, thermodynamics, 170
microcanonical ensemble, 182–184
N -particle canonical ensemble
expression, 172
partition function, 170
single-particle, 169
thermodynamics, 173–179
dielectric thermodynamic system, 420–426
energy levels, 139–140
equilibrium partition function, 142
fractional populations, 143
isolated systems, 139
microcanonical, 182–184
N -particle systems, 152–154
partition function, 151–152
silicon and germanium atoms, 144–146
Taylor series, 140–141
thermal contact, 158
thermodynamics, 142
translational states, 146–151
© Springer Nature Switzerland AG 2021
F. R. W. McCourt, Statistical Thermodynamics for Pure and Applied Sciences,
https://doi.org/10.1007/978-3-030-52006-9
677