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| Mayer J.E., Mayer M.G. — Statistical Mechanics |
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| Ïðåäìåòíûé óêàçàòåëü |
Maximum term in configuration integral development 283—284
Maxwell — Boltzmann collision equation 401—407
Maxwell — Boltzmann distribution law 10—17 119—120
Maxwell, Clerk 10ff 119ff
Mayer, Robert 2
Mean free path, of electrons in metals 397 400 405
Mean free path, of molecules in a perfect gas 18—22
Mean free path, table 21
Meniscus, temperature of disappearance of 310—314
Method of undetermined multipliers 113 201 222 283 297 370 433—435
Mixture of gases 201—203
Molecules, ammonia 199
Molecules, benzene 185
Molecules, carbon dioxide 186
Molecules, diatomic 52 (see also “Diatomic molecules”)
Molecules, ethane 148 189 197—198
Molecules, hydrochloric acid 151 469
Molecules, hydrogen 122 151 157 166 177—178 468
Molecules, nitrogen 151 468
Molecules, oxygen 151 468
Molecules, polyatomic 179—199 (see also “Polyatomic molecules”)
Momenta 36ff 58
Momenta, and uncertainty principle 41—42
Momenta, angular 37 48 145 149 193
Momenta, conjugate 36
Momenta, linear 4 9 36 46
Moments of inertia 37 49
Moments of inertia, of diatomic molecules 149 167
Moments of inertia, of diatomic molecules, table 468—469
Moments of inertia, of polyatomic molecules 189 192 454
Montroll, Elliot viii
Mossotti, O.F. 339 348 351
Mu space 40 110 124
Mulholland, H.P. 153
N-dimensional sphere, volume 116 243 433
Neon, boiling point 122
Neon, heat conductivity 27
Neon, viscosity 27
Nichols, E.F. 256
Nitrogen molecule 151 468
Normal coordinates, of crystals 238 248
Normal coordinates, of polyatomic molecules 183 185
Nuclear spin 52 135—138
Nuclear spin in diatomic molecules 52 174—178
Nuclear spin in isotope equilibrium 213
Nuclear spin in polyatomic molecules 196
Number, of cells of translation 54—55 110 375 416
Number, of degrees of freedom 35 181 237 251
Number, of molecules hitting a wall 17—18
Number, of molecules hitting a wall, with given velocity 5—8
Number, of quantum states of a system 54ff 58 86ff
Number, of terms in cluster integrals 455—459
Number, of ways of putting balls in boxes 435—438
Onsager, Lars viii
Optically active isomers 180
Ortho-hydrogen 177—178
Oscillator 47—48
Oscillator, and electric moment 335—338
Oscillator, deviations from harmonic behavior 160—161 452—453 467
Oscillator, in crystals 237ff 258
Oscillator, in diatomic molecules 149 157—160 444
Oscillator, mechanics 47—48
Oscillator, table 445—447
Oscillator, thermodynamic functions 157—159 444
Oxygen molecule 151 468
Para-hydrogen 177—178
Paramagnetism 340—342
Paramagnetism in quantum mechanics 342—348
Partition function, internal, of amolecule 128 (see also “Thermodynamic functions”)
Partition function, of a molecule 123—129
Partition function, of a system 220—223 230
Partition function, separation as a product 127—128
Pauling, Linus 140 167
Perfect gas 109—199
Perfect gas, degenerate 363—426 (see also “Einstein — Bose gas” “Fermi
Perfect gas, diatomic 149—178 (see also “Diatomic molecule”)
Perfect gas, diffusion 27—30
Perfect gas, equation of state 5 9 117—119 130
Perfect gas, general thermodynamic equations 129—132
Perfect gas, heat conduction 26—27
Perfect gas, mean free path 18—22
Perfect gas, monatomic 109—122
Perfect gas, number of molecules hitting a wall 17—18
Perfect gas, polyatomic 179—199 (see also “Polyatomic molecules”)
Perfect gas, pressure 5 8 117—119 130
Perfect gas, simplified model 3—5
Perfect gas, symmetry number 172—178 195—199
Perfect gas, thermodynamic functions 129—131 440—453
Perfect gas, viscosity 22—26
Petit, A.T. 241 245
Phase changes 274—276 317—319
Phase changes, condensation 295—317
Phase space 38—40 69 228 232 242
Phase space, and symmetry number 196—199
Phase space, examples 40 59
Phase space, integral see “Gibbs’ phase integral”
Phase space, Liouville theorem 58—63
Phase space, probability in 62
Phase space, quantum states in 42 44 69
Phase space, uncertainty principle 41—42
Physical constants, table 470
Planck distribution law 370
Planck, Max 364 369ff
Polarization, electrical 331—335
Polyatomic molecules 179—199
Polyatomic molecules, hindered rotation 148 189 197—199
Polyatomic molecules, isomers 180
Polyatomic molecules, number of degrees of freedom 181
Polyatomic molecules, oscillators in 183—191
Polyatomic molecules, potential minima 180
Polyatomic molecules, rotation 191—194
Polyatomic molecules, symmetry number 195—199
Polyatomic molecules, thermodynamic functions 194 454
Pressure 72—73 92 95—97 235
Pressure, Einstein — Bose gas 426
Pressure, Fermi — Dirac gas 386
Pressure, imperfect gas 262 291 301
Pressure, mechanical origin 4 73
Pressure, perfect gas 4 8 117—119 130
Pressure, radiation pressure 373
Pressure, van der Waals’ equation 262
Pressure, virial equation 291
Pressure, zero point pressure 377—378
probability 58—63 (see also “Distribution equal of
Probability, equal, of quantum states 53—58
Probability, of a configuration 133 230—231
Probability, of a dipole orientation 328—329
Probability, of a molecule being in an internal state 132—134
Probability, of cards after shuffling 88—90
Probability, of distribution of independent particles in space 74r—77
Probability, of energy of a molecule 123
Probability, of kinetic energy of a molecule 5ff 14 112—114 120
Probability, of orientation of magnetic moments 340 345
quantum states 42—45
Quantum states, densitv of, in phase space 42 44 62 69
Quantum states, equal probability 53—58
Quantum states, for a distribution 79
Quantum states, in magnetic fields 345
Quantum states, number of, available to a system 54 68 86ff
Quantum states, of a crystal 329
Quantum states, of a diatomic molecule 52 149 160 443 452
| Quantum states, of a particle in field free space 47
Quantum states, of a rotator 48—49
Quantum states, of a symmetrical top 49
Quantum states, of an oscillator 48
Quantum states, of atoms 52—53 140—141
Quantum states, of Einstein — Bose systems 65 66 111
Quantum states, of Fermi — Dirac systems 65 66 111
Quantum states, of some simple systems 45—49
Quantum states, translational 54—55 110 375 416
Radiation field 365—374 (see also “Black-body radiation”)
Radiation field, thermodynamic functions 372—374
Raman, C.V. 186
Ramanujan, S. 282
Randall, Merle 108
Rayleigh, J.W.S. 371
Rayleigh’s law 370
Refractive index 333—335
Reinkober, O. 256
Reversibility, principle of complete 11 66
Rice, O.K. 322 323 378
Richardson effect 390—395
Richardson, O.W. 390ff
Root mean square velocity 16
Rotation, Hamiltonian 193
Rotation, hindered 148 189 197—198
Rotation, interaction with vibration 160—161
Rotation, moments of inertia 192 454
Rotation, of diatomic molecules 52 151—157
Rotation, of polyatomic molecules 191—194
Rotation, of polyatomic molecules, contributions to thermodynamic functions 194 454
Rotator 48
Rotator, even and odd states 150 154—157
Rotator, in diatomic molecules 61 151—157
Rotator, partition function 153
Rotator, table 450—452
Rotator, thermodynamic functions 154—155 448—449
Rubens, H. 256
Rumford, B.T. 2
Rupsch, E. 395
Russel, H.N. 140
Russell — Saunders notation 140—141
Sanger, R. 333 334
Saturated vapor 295—317
Saturated vapor, thermodynamic functions 314—317
Saturated vapor, volume per molecule 303—305
Saunders, F.A. 140
Schrodinger equation 43
Second law of thermodynamics 86ff 105—108 438—440
Second law of thermodynamics, validity 98—100
Shutts, L.W. 184
Slater, J.C 390
Sommerfeld, A. 365
Specific heat see “Heat capacity”
Spectroscopic notation 140—141
Spherical coordinates 35
Sponer, H. 468
Stationary state 24 30 301
Steacie, E.W.R. 314
Stern, Otto 21
Stirling approximation 432—433
Stirling, J. 75
Strain and stress in crystals 258—261
Sullivan, A. 98
Summation formula 152 431—432
Superconductivity 388 400
Susceptibility, magnetic 340—348
Sutherland, W. 21
Symmetric eigenfunctions 64 65 123 176—176 196 363 368 416
Symmetrical top 49 192
Symmetry number, in diatomic molecules 172—178
Symmetry number, in polyatomic molecules 195—199
systems 1 31 33 45 49
Systems, at constant energy 86—100
Systems, at constant temperature 218—236
Systems, combination of independent 49—53 63—67
Systems, composed of dependent particles 218—236
Systems, composed of independent particles 123ff
Systems, Fermi — Dirac 65 (see also “Fermi — Dirac gas”)
Systems, partition function 222—223
Systems, simple examples 45—49
Systems, Systems, eigenfunctions 64
Systems, thermodynamic functions 95—97 236—
Tapp, J.S. 314
Teets, D.E. 184
Teller, Eduard viii 189
Temperature 5 92 96
Theory of functions of a complex variable 459—467
Thermionic emission 390—395
Thermodynamic forces 70—74 96—97
Thermodynamic functions 106—108 438—440
Thermodynamic functions, of a rotator 154—155 448—449
Thermodynamic functions, of a rotator, table 450—452
Thermodynamic functions, of an oscillator 158—159 444
Thermodynamic functions, of an oscillator, table 445—447
Thermodynamic functions, of crystals 240—245 251—255
Thermodynamic functions, of diatomic molecules 154—155 158—159 165—166 443—463
Thermodynamic functions, of diatomic molecules, table 445—452
Thermodynamic functions, of general gases 130—132
Thermodynamic functions, of imperfect gases 291—293
Thermodynamic functions, of monatomic gases 143
Thermodynamic functions, of polyatomic gases 194 454
Thermodynamic functions, of saturated vapor 314r—3l7
Thermodynamic functions, of systems in electric fields 356—361
Thermodynamic functions, of systems of dependent molecules 235—236
Thermodynamic state 69
Thermoelectric potential 412—414
Thermoelectric potential, figure 414
Third law of thermodynamics 103—104
Transition probabilities 56—58
Translational quantum states 47 64—66
Translational quantum states, number of, in an energy range 66 110 375 416
Trkal, V. 172
Uhlenbeck, George E. 122 281 283 415 419
Uncertainty in energy 100—102
Uncertainty principle 41—42 62 101
Undetermined multipliers, method of 113 201 222 283 297 370 433—435
Ursell, H.D. 263
Van der Waals’ gas 262—276
van Vleck, J.H. 334 338 339
Velocity, averages in a gas 14
Vibration see “Oscillation”
Virial equation 288ff
Viscosity of a gas 22—26
Volta, A. 396
Volume, of an N-dimensional sphere 433
Volume, per molecule of saturated vapor 303—305
Waals, J.D., van der 262ff
Wave functions see also “Antisymmetric eigenfunctions” “Symmetric
Wave functions and configuration integral 231
Wave functions of a point in field free space 46
Wave functions of electrons in metals 389—390
Weigert, K. 189
Weiss, P. 351
Wiedemann 400 412
Wien, W. 371
Wien’s distribution law 371
Wilson, E.Bright, Jr. 167 185 190
Woltjer, H.R. 348
work function see also “Thermodynamic functions”
Work function of a metal 392 395ff
Work function, thermodynamic 105—108 438—440
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