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Ziman J.M. — Electrons and Phonons: The Theory of Transport Phenomena in Solids
Ziman J.M. — Electrons and Phonons: The Theory of Transport Phenomena in Solids

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Название: Electrons and Phonons: The Theory of Transport Phenomena in Solids

Автор: Ziman J.M.

Аннотация:

This study of the theory of electrical and thermal conduction in metals, semiconductors, and insulators is written at a level appropriate to graduate students and research workers and assumes some knowledge of wave mechanics in its reader. The basic ideas of crystal lattice dynamics, electron zone structure, and transport theory are developed from first principles, and formulae for the macroscopic coefficients are deduced by self-contained mathematical arguments. Interpretation in terms of electronic structure, chemical purity, crystal structure, and crystal perfection is emphasized as a tool for further investigation but detailed discussion of individual means or alloys is avoided.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 568

Добавлена в каталог: 19.11.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Acceleration of conduction electron      97
Acoustic inodes      37 43 48 52 144
Adiabatic principle      6 175 176
Adiabatic principle, breakdown of      212 219
AG      (see Silver)
Alkali halides, anharmonicity      151
Alkali halides, electrical conductivity      370 371
Alkali halides, Fermi surface      109 399 411 504
Alkali halides, magnetoresistance      492 504
Alkali halides, metals      109
Alkali halides, thermal conductivity      393
Alkali halides, thermopower      399 411
Alloys, disordered      246 263 338
Alloys, electron scattering in      247
Alloys, lattice conduction      323 4
Alloys, ordered      244 338
Alloys, residual resistance      337 44
Alloys, thermopower      401 3
Alumina, $Al_{2}O_{3}$, thermal conductivity      292 311 316 328 464
Aluminium, Al      116
Aluminium, anharmonicity      151 152 155
Aluminium, area of Fermi surface      375
Aluminium, Debye temperature      366
Aluminium, electrical conductivity      374 375
Aluminium, Fermi surface      116
Aluminium, Hall constant      488
Aluminium, lattice spectrum      32 43
Aluminium, resistance minimum not observed      346
Aluminium, stacking faults      243
Ambipolar diffusion      427
Amorphous solids      248
Anelasticity      156
Anharmonicity      130 4
Anharmonicity, dislocation field      232
Anharmonicity, elastic continuum      147 52 231
Anharmonicity, lattice conduction      295 323
Anharmonicity, specific heat      156
Anharmonicity, thermal expansion      153 5
Anharmonicity, value, for various solids      151 152
Anisotropic continuum model      60
Annihilation operator for phonons      12 30 41 132 277
Antiferromagnetism      349
Antimony, Sb      123 124
Antimony, Sb, electrical conductivity      374 376
Antimony, Sb, Hall constant      488
Antimony, Sb, magnetoresistance      492
Antimony, Sb, thermal conductivity      326
Antimony, Sb, thermopower      399
APW (Augmented Plane Wave) Method      90 242
Arsenic, As      123 134
Arsenic, electrical conductivity      374 376
Arsenic, Hall constant      488
Arsenic, magnetoresistance      492
Arsenic, thermal conductivity      326
Arsenic, thermopower      399
Atomic heat      48
Atomic heat, radius      5 109 114 117 123 127
Atomic heat, variance of isotopic      311
Atomic heat, volume      6
Atomic heat, weight, effect on thermal conductivity      305
AU      (see Gold)
Autocorrelation function      250 253 458
Band of electrons      69 72
Band of electrons, augmented plane wave (APW)      90
Band of electrons, Bardeen formula for electron-phonon interaction      197 201 203 369 372 393
Band of electrons, cellular      85 85
Band of electrons, d-electrons      112
Band of electrons, full, carries no current      98
Band of electrons, holes      99 118 422
Band of electrons, impurity      327
Band of electrons, inverted      107
Band of electrons, LCAO      85
Band of electrons, orthogonalized plane wave (OPW)      89
Band of electrons, overlap of      74
Band of electrons, quantum defect      87
Band of electrons, structure, methods of calculation      82 92
Band of electrons, tight binding      82 85 90
Band of electrons, Wannier function      91
Band of electrons, Wigner — Seitz      86
Barium, anharmonicity      151
Barium, Ba      116
Barium, Debye temperature      366
Barium, electrical conductivity      374
Barium, magnetoresistance      492
Basis      4
Beryllium, Be      114
Beryllium, Debye temperature      366
Beryllium, electrical conductivity      374 375
Beryllium, Hall constant      488
Beryllium, magnetoresistance      492
Bismuth, Bi      123 124
Bismuth, electrical conductivity      374 376
Bismuth, Fermi surface      124
Bismuth, Hall constant      488
Bismuth, magnetoresistance      492
Bismuth, thermal conductivity      326
Bismuth, thermopower      399
Bloch      1
Bloch function      70
Bloch function, integral equation      368
Bloch function, sum      83 89
Bloch theory of electronic conduction      322 357 391
Bloch — Gruneisen formula      364 369 371 372
Bloch’s theorem, general proof, applications      83 86 93 181
Bloch’s theorem, general proof, for electrons      70
Bloch’s theorem, general proof, for phonons      20
Body-centred cubic lattice      25 109 110
Bohm — Pines method      162 5
Boltzmann distribution      104 421
Boltzmann equation for      277
Boltzmann equation for electrons scattered by dislocations      354 7
Boltzmann equation for electrons scattered by electrons      413
Boltzmann equation for electrons scattered by impurities      267 283 428
Boltzmann equation for electrons scattered by optical and polar modes      435 40
Boltzmann equation for electrons scattered by phonons in semiconductors      431 3
Boltzmann equation for electrons scattered by phonons, in metals      357 61 387 90 403—6
Boltzmann equation for phonons scattered by electrons      321 407
Boltzmann equation for phonons scattered by impurities and imperfections      306 9
Boltzmann equation for phonons scattered by in finite specimens, ‘rough’ surfaces      461
Boltzmann equation for phonons scattered by in finite specimens, ‘smooth’ surfaces      462
Boltzmann equation for phonons scattered by phonon-phonon processes      292 301
Boltzmann equation in skin effect      475
Boltzmann equation with internal scattering      463 466
Boltzmann equation with magnetic field      470 472
Boltzmann equation, boundary conditions      453
Boltzmann equation, canonical form      276
Boltzmann equation, derivation      264 7
Boltzmann equation, dislocation, impurity scattering      225 429
Boltzmann equation, dislocation, scattering      230 237
Boltzmann equation, elementary solution      268 433
Boltzmann equation, entropy production      281
Boltzmann equation, equation      264 85
Boltzmann equation, integral equation      267
Boltzmann equation, kinetic interpretation      455 476 516
Boltzmann equation, linearized      266
Boltzmann equation, solutions by inspection      298
Boltzmann equation, thermodynamic interpretation      280 2
Boltzmann equation, thin films      467 472
Boltzmann equation, thin wires      466 470
Boltzmann equation, validity      167 212 262 4
Boltzmann equation, variational method, in general      283 4 404 511
Boltzmann equation, variational principle      278 80
Boltzmann equation, variational principle for      281
Bom approximation, validity for electronelectron scattering      171 415
Bom — Oppenheimer method      176
Born-von Karman conditions      19
Born-von Karman conditions, model      59
Boron, B, anharmonicity      151
Bose-Einstein particles, distribution function for      44 47
Boundary conditions for Boltzmann equation      453 456
Boundary conditions for unit cell      86
Boundary conditions, Bom-von Karman      19
Boundary conditions, cyclic for lattice      8 18 28 50
Boundary conditions, scattering of phonons by ‘rough’ and ‘smooth’ surfaces      456
Boundary conditions, scattering of phonons thermal conductivity      291 301 328 460 5
Boundary conditions, scattering of phonons thermopower      450
Boundary conditions, Wigner — Seitz      226
Branch, of spectrum      31 33
Brass, $\beta$ (CuZn), anharmonicity      152
Brass, $\beta$ (CuZn), lattice spectrum      43
Bravais lattice      4 33
Bridgman relation      499
Brillouin zone      (see Zone)
Brooks — Herring formula      225 428
Burgers vector      229
Cadmium, anisotropy of transport coefficients      395
Cadmium, area of Fermi surface      375
Cadmium, Cd      114
Cadmium, electrical conductivity      374 375
Cadmium, Hall constant      488
Cadmium, magnetoresistance      492
Caesium, Cs      109
Caesium, Debye temperature      366
Caesium, electrical conductivity      371 374
Caesium, Hall constant      488
Caesium, thermal conductivity and Fermi surface      394
Caesium, thermopower and Fermi surface      411
Calcium, anharmonicity      151
Calcium, Ca      114 115
Calcium, Debye temperature      366
Calcium, electrical conductivity      374 375
Calcium, Hall constant      488
Cauchy relations      39 40
Cauchy relations for anharmonic coefficients      149
Cell as molecule      38
Cell of reciprocal lattice      24
Cell, unit      3 27
Cell, volume of      5
Cell, Wigner — Seitz      4 26
Cellular method      85
Central forces      39 40
Chromium, anharmonicity      151
Chromium, Cr      127
Chromium, electrical conductivity      374
Chromium, Hall constant      488
Chromium, resistance minimum caused by      345 346
Cobalt, Co      127
Cohesive energy of ionic crystals      39
Cohesive energy of metals      195
Collective coordinate and momentum, operators      164
Collective coordinates      162
Collective coordinates, modes      162 263
Commutation relations      7 11 12 27 30 50
Conduction band      118 422 440
Conduction band, electrons      62 118
Conductivity maximum      292 314
Continuum, anharmonic      147 52
Continuum, anisotropic      60
Continuum, Debye model      55
Continuum, dispersive      59
Continuum, elastic      13 31 36
Continuum, isotropic      58
Continuum, vibrations of      49 52
Conwell — Weisskopf formula      225 428
Copper of dislocation      232
Copper, anharmonicity      151 152 155
Copper, anomalous skin effect      482
Copper, area of Fermi surface      375
Copper, Cu      112
Copper, Debye temperature      336
Copper, electrical conductivity      371
Copper, electrical conductivity of alloys      341 343
Copper, Fermi surface      113 349 394 399 514
Copper, Hall constant      488
Copper, lattice conduction      324
Copper, lattice spectrum      43
Copper, magnetoresistance      504
Copper, resistance minimum      345 346
Copper, stacking faults      243
Copper, thermal conductivity      394
Copper, thermopower      399
Copper, thermopower of alloys      347 401 402
Core, atomic      62 89
Coriolis force      509
Correlation of electron motion      81 159 167 195
Correlation of electron motion, length of amorphous structure      252 255
Cosmological principle      28 131
Coulomb field of charged impurity      223 7
Coulomb field, between electrons in a metal      63 66 80 161 71
Coulomb field, inside a cell      195
Coulomb field, screened      159 166 72 224
Covalent solids, lattice dynamics of      39
Creation operator for phonons      12 30 41 132 277
Critical points of lattice spectrum      47
Curie point, anomaly in electrical conductivity at      380
Current, generalized      273
Cut-off in lattice spectrum      13 53
Cut-off in plasma spectrum      168
Cyclotron frequency      96 512 514
Cyclotron frequency, mass      515
Cyclotron frequency, radius      473
Cyclotron frequency, resonance      108 118 123
D-electrons in noble metals      112 372
D-electrons in transition metals      125
D-electrons, band width      125 418
Debye distribution      56
Debye distribution from electrical conductivity      365 369 370
Debye distribution, formula      54 322
Debye distribution, integral functions      54 310
Debye distribution, model for lattice spectrum      1 55 136
Debye distribution, radius      53
Debye distribution, sphere      52
Debye distribution, temperature      49 366
Defect, lattice      (see Vacancy Interstitial)
Deformable ion model      188 191 207
Deformation potential      186
Deformation potential of dislocation      235
Deformation potential of optical mode      439
Deformation potential of phonon in metal      191 6 201 364
Deformation potential of phonon in semiconductor      205 329 431 447
Degeneracy of lattice modes      34 140 301
Density in semiconductors      422
Density in transition metals      126
Density of electrons      101
Density of phonons      45
Density of states in energy      75
Density, effect of electron-phonon interaction      348
Density, effect on electron-electron interaction      161
Density, effect on electron-phonon interaction      191
Density, effect on lattice resistivity      373
Density, experimental determination      106
Density, level      (see Density of states in energy)
Density, matrix      130 212
Detailed balance, principle of      265
diamond      118
Diamond, deformation potentials in      206
Diamond, energy gap      120
Diamond, lattice spectrum      40
Diamond, structure      117 118
Diamond, thermal conductivity      311 316 462
dielectric constant      208 429 438
Diffraction of electrons      67
Diffraction of neutrons      40 42
Diffraction of X-rays      40 42
Diffraction, theory for distribution of random sources on surface      250
Dilatation, elastic      150 154 186 192 222 231 444
Direct space      23
Dislocations, arrays of      245
Dislocations, Bom-von Karman model      59
Dislocations, diatomic linear chain      36
1 2 3 4 5
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