The modern theory of solids

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McGraw-Hill Book Company, inc., 1940 - Solids - 698 pages
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Contents

CHAPTER I
1
Monatomic Metals
2
Metal Alloys
25
Ionic Crystals
46
Valence Crystals
60
Semiconductora
62
Molecular Crystals
72
The Transition between the Solid Types
74
A METALS 78 The Alkali Metals
348
Metallic Hydrogen
366
Monovalent Noble Metals
367
Metallic Beryllium
371
The Elastic Constants of Metals
373
The Cohesion of Alloys
378
Simplified Treatments of Cohesion
379
B IONIC CRYSTALS 85 Sodium Chloride
385

CHAPTER II
76
Electrostatic Interaction Energy
77
The Repulsive Term
79
PAGE
82
The Multipole Interactions and the Zeropoint Energy
84
The Relative Stability of Different Lattice Types
89
Ionic Radii
91
Implications of the Deviations from the CauchyPoisson Relations
94
Surface Energy
96
CHAPTER III
99
The Energy of an Assembly of Oscillators
100
Einsteins and Debyes Frequency Distributions
103
Observed Deviations from Debyes Law of Vibrational Specific Heat
117
General Threedimensional Case
125
Blackmans Computations
133
The CP Cy Correction
136
CHAPTER IV
139
A METALS 26 Distribution of Electron Velocities
140
The Specific Heats of Nontransition Metals 152
152
The Electronic Specific Heat of Transition Metals at Low Temperatures
153
The Pauli Theory of the Paramagnetism of Simple Metals
159
Thermionic and Schottky Emission
161
Boltzmanns Equation of State Lorentz Solution
168
Electrical and Thermal Conductivity
174
Electrothermal Effects
178
The Isothermal Hall Effect
181
B SEMICONDUCTORS 36 A Simple Model of a Semiconductor
186
Electrical Conductivity
189
Thermoelectric Effects and the Hall Effect in Semiconductors
191
CHAPTER V
195
Auxiliary Theorems
199
Electron Spin
203
The Pauli Principle and Related Restrictions
208
B THE INTERACTION BETWEEN MATTER AND RADIATION
210
The Classical Electromagnetic Equations
211
The Semiclassical Method of Treating Radiation
215
The Current Operator
221
Line Breadth
223
CHAPTER VI
227
The Helium Atom Problem
231
The Oneelectron Approximation
234
Eigenfunctions of Definite Multiplicity
242
Focks Equations
243
The Solutions of Hartrees and Focks Equations for Single Atoms
246
Types of Solution of Focks Equations for Multiatomic Systems
251
CHAPTER VII
254
The Hydrogen Molecule
258
Molecular Lithium
262
Molecular Valence
270
CHAPTER VIII
271
The Connection between Zone Structure and Crystal Symmetry
275
Survey of Rules and Principles Concerning Threedimensional Zones
295
Examples of Zone Structure
298
Case of Coalescence of the HeitlerLondon and the Bloch Schemes
301
Approximate Bloch Functions for the Case of Narrow Bands
303
The Total Electronic Wave Function of the Solid
308
Koopmans Theorem
313
Velocity and Acceleration in the Bloch Scheme
314
Modification of Boltzmanns Equation for the Bloch Scheme
319
Additional Energy States
320
Optical Transitions in the Zone Approximation
326
CHAPTER IX
329
The Hartree Field
333
Exchange Terms
334
Correlational Correction for Perfectly Free Electrons
342
CHAPTER X
345
Lithium Hydride
390
The Elastic Constants of Ionic Crystals
391
CHAPTER XI
395
The Internal Contribution to the Work Function
397
The Work Function in Nonmetallic Crystals
400
Thermionic Emission and the Temperature Dependence of the Work Function
402
CHAPTER XII
407
Excited States in the HeitlerLondon Scheme
408
Excitation Waves
414
CHAPTER XIII
420
Simple Metals
421
Metals with Irregular Structures
425
Transition Metals
426
Simple Substitutional Alloys
432
Alloys Involving Transition Metals
434
Level Densities from Soft Xray Emission Spectra
436
B IONIC CRYSTALS 105 Plan of Treatment
441
Alkaline Earth Oxides and Sulfides
447
Equilibrium Atomic Arrangements for Excited States
450
VALENCE CRYSTALS 109 The Zone Structure of Diamond
452
SEMICONDUCTORS 110 General Principles
456
The Alkali Halide Semiconductors
459
Zinc Oxide
464
Cuprous Oxide and Other Substances That Involve Transition Metals
467
E MOLECULAR CRYSTALS 114 Survey
468
The Transition between the Solid Types
469
CHAPTER XIV
470
A Qualitative Survey of the Theory of Phases
473
Lowenergy States
476
Polymorphism
478
The Effect of Electronic Excitation on Phase Changes
487
Melting
488
Atomic Diffusion
494
The Phase Boundaries of Alloys
499
Order and Disorder in Alloys
502
Free Rotation in Crystals
511
CHAPTER XV
516
The Collisions between Electrons and Lattice Vibrations in Monovalent Metals
518
Other Simple Metals
535
Residual Resistance The Resistivity of Alloys
541
Superconductivity
545
B IONIC CONDUCTIVITY 132 General Principles
547
PHOTOCONDUCTIVITY 133 The Mean Free Path of Free Electrons in Ionic Crystals
558
Photoconductivity in Colored Alkali Halide Crystals
563
Photoconductivity of Zinc Sulfide and the Silver Halides
571
CHAPTER XVI
576
The Orbital Diamagnetism of Free Electrons
583
The Orbital Diamagnetism of Quasibound Electrons
590
The Spin Paramagnetism of Valence Electrons
599
Paramagnetic Salts
603
Ferromagnetism
607
Additional Application to Alloys
623
Ferromagnetic Anisotropy
627
CHAPTER XVII
629
Classical Theory
630
Quantum Formulation of the Optical Properties
642
Application to Metals
651
Ionic Crystals
657
Semiconductors
661
The Infrared Spectra of Ionic Crystals
665
Special Topics
669
APPENDIX
677
AUTHOR INDEX
681
SUBJECT INDEX
687
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