678
Index
Carnot cycle
CCW Otto cycle, 80
classical ideal gas, 55–60
CW, 64
quantum ideal gas, 60–64
steps in, 55
thermal reservoirs, 69
thermodynamics, 55
Carnot engine
classical ideal gas, 55–60
quantum ideal gas, 60–64
reverse, 64–66
Characteristics
Cl 2 isotopologues, 501
Debye temperature, 247
energy differences, 306
function, 177
gasoline-air mixture, 72
rotational temperature, 323, 326, 327, 336
temperature, 229, 236
thermal
energy, 223
equilibrium, 142
vibrational temperature, 270, 367
Chemical equilibrium
expression for K P
and K c (T ), 489–491
practical matters, 488–489
Gibbs energy, 94
kinetics application
ACT model, 504–507
equilibrium assumption, 502
equivalence, 503
TST expression to experiment, 507–508
two-step mechanism, 501
four extended examples, 491–501
setting, 483–485
Classical statistical mechanics
binary collision
kinematics, 390–398
term, 400–403
Boltzmann equation, 400–406
dense fluids, 379–382
energy equipartition, 360–366
ideal gas, 376–379
intermolecular interactions, 367–368
Liouville equation, 382–390
N -molecule system, 359
nonequilibrium phenomena, 403–406
phase-space description, 358
quantum states, 357
rigid-rotor motion, 358
scattering cross section concept
geometric arrangement, 399
inverse and reverse collisions, 399–400
vibrational partition function, 359
virial equation of state, 368–375
Clockwise (CW) direction, 64, 81
Collision
binary kinematics, 393, 390–398
Boltzmann equation, 400–403
centre-of-mass frame, 397
energy-permeable, 360
intermolecular interactions, 388
inverse, 399–400
momentum transfer, 87
number of, 5
with photons, 10
reverse, 399–400
transitions, 260
Combinatorial analysis, 593–599
Configuration
electronic, 224, 225, 227, 458, 637–640
entropy, 175, 207
ground, 228
ice crystal, 340
integral, 367, 368, 370, 381
microscopic (see Microscopics)
N -particle system, 665
probability concepts, 593–599
Counterclockwise Otto cycles (CWW), 78–82
Curzon–Ahlborn endoreversible engine cycle,
66–70, 73, 78
CW direction, see Clockwise (CW) direction
CWW, see Counterclockwise Otto cycles
(CWW)
D
Density
charge, 413
ensemble averages, 583–586
gas behaviour, 3
internal energy, 61
matrix, 583–586
phase-point, 385
photon number, 10
series expansion, 371
thermodynamic system, 434
translational energy, 148
virial coefficients, 102
Diatomic molecules
electronic degree of freedom, 303–306
energy origins, 486
Index
Carnot cycle
CCW Otto cycle, 80
classical ideal gas, 55–60
CW, 64
quantum ideal gas, 60–64
steps in, 55
thermal reservoirs, 69
thermodynamics, 55
Carnot engine
classical ideal gas, 55–60
quantum ideal gas, 60–64
reverse, 64–66
Characteristics
Cl 2 isotopologues, 501
Debye temperature, 247
energy differences, 306
function, 177
gasoline-air mixture, 72
rotational temperature, 323, 326, 327, 336
temperature, 229, 236
thermal
energy, 223
equilibrium, 142
vibrational temperature, 270, 367
Chemical equilibrium
expression for K P
and K c (T ), 489–491
practical matters, 488–489
Gibbs energy, 94
kinetics application
ACT model, 504–507
equilibrium assumption, 502
equivalence, 503
TST expression to experiment, 507–508
two-step mechanism, 501
four extended examples, 491–501
setting, 483–485
Classical statistical mechanics
binary collision
kinematics, 390–398
term, 400–403
Boltzmann equation, 400–406
dense fluids, 379–382
energy equipartition, 360–366
ideal gas, 376–379
intermolecular interactions, 367–368
Liouville equation, 382–390
N -molecule system, 359
nonequilibrium phenomena, 403–406
phase-space description, 358
quantum states, 357
rigid-rotor motion, 358
scattering cross section concept
geometric arrangement, 399
inverse and reverse collisions, 399–400
vibrational partition function, 359
virial equation of state, 368–375
Clockwise (CW) direction, 64, 81
Collision
binary kinematics, 393, 390–398
Boltzmann equation, 400–403
centre-of-mass frame, 397
energy-permeable, 360
intermolecular interactions, 388
inverse, 399–400
momentum transfer, 87
number of, 5
with photons, 10
reverse, 399–400
transitions, 260
Combinatorial analysis, 593–599
Configuration
electronic, 224, 225, 227, 458, 637–640
entropy, 175, 207
ground, 228
ice crystal, 340
integral, 367, 368, 370, 381
microscopic (see Microscopics)
N -particle system, 665
probability concepts, 593–599
Counterclockwise Otto cycles (CWW), 78–82
Curzon–Ahlborn endoreversible engine cycle,
66–70, 73, 78
CW direction, see Clockwise (CW) direction
CWW, see Counterclockwise Otto cycles
(CWW)
D
Density
charge, 413
ensemble averages, 583–586
gas behaviour, 3
internal energy, 61
matrix, 583–586
phase-point, 385
photon number, 10
series expansion, 371
thermodynamic system, 434
translational energy, 148
virial coefficients, 102
Diatomic molecules
electronic degree of freedom, 303–306
energy origins, 486