The theory of the properties of metals and alloys

by N.F. Mott, H. Jones

[目次]

• CONTENTS
• INTRODUCTION / 11
• I. THERMAL PROPERTIES OF THE CRYSTAL LATTICE
• 1. THE SPECIFIC HEAT AT LOW TEMPERATURES / 1
• 2. SPECIFIC HEATS AT HIGH TEMPERATURES / 11
• 3. NUMERICAL VALUES OF THE CHARACTERISTIC TEMPERATURE / 12
• 4. THE EQUATION OF STATE / 15
• 5. BINDING ENERGY OF METALLIC ELEMENTS / 23
• 6. ALLOYS:THE PHASE DIAGRAM / 24
• 7. ALLOYS:THERMAL EQUILIBRIUM OF THE SUPERSTRUCTURE / 28
• II. ELECTRONS IN EQUILIBRIUM IN THE CRYSTAL LATTICE
• 1. WAVE‐MECHANICAL PRINCIPLES / 41
• 2. THE ELECTROSTATIC FIELD IN A METAL / 49
• 3. THE FREE‐ELECTRON GAS / 51
• 4. MOTION OF ELECTRONS IN A PERIODIC FIELD / 56
• 5. CRYSTALLINE FIELD IN ALLOYS / 86
• III. MOTION OF ELECTRONS IN AN APPLIED FIELD
• 1. CONDUCTORS,INSULATORS,AND SEMI‐CONDUCTORS / 89
• 2. VELOCITY OF AN ELECTRON IN A GIVEN STATE IN A LATTICE / 92
• 3. ACCELERATION OF THE ELECTRONS BY AN EXTERNAL ELECTRIC FIELD / 93
• 4. THE EFFECTIVE NUMBER OF FREE ELECTRONS / 96
• 5. PERIODIC ELECTRIC FIELDS
• LIGHT WAVES / 99
• 6. DISPERSION / 103
• 7. OPTICAL PROPERTIES OF METALS
• THEORY / 105
• 8. COMPARISON WITH EXPERIMENT / 116
• 9. X-RAY EMISSION AND ABSORPTION / 125
• IV. COHESION
• 1. TYPES OF COHESION / 132
• 2. METALLIC COHESION
• METHOD OF WIGNER AND SEITZ / 134
• 3. RESULTS / 143
• 4. ELASTIC CONSTANTS / 147
• 5. WORK FUNCTION / 150
• 6. ALLOYS / 151
• V. THE CRYSTAL STRUCTURE OF METALS AND ALLOYS
• 1. INTRODUCTION / 152
• 2. BRILLOUIN ZONES FOR VARIOUS CRYSTAL STRUCTURES / 152
• 3. FACTORS DETERMINING THE CRYSTAL STRUCTURE / 170
• VI. HEAT CAPACITY AND MAGNETIC PROPERTIES OF THE METALLIC ELECTRONS
• 1. THE FERMI DISTRIBUTION LAW / 175
• 2. SPECIFIC HEAT / 178
• 3. MAGNETISM
• INTRODUCTION / 183
• 4. WEAK SPIN PARAMAGNETISM / 184
• 5. THE TRANSITION METALS / 189
• 6. DIAMAGNETISM OF CONDUCTION ELECTRONS / 201
• 7. FERROMAGNETISM / 219
• VII. THE ELECTRICAL RESISTANCE OF METALS AND ALLOYS
• 1. FORMER THEORIES / 240
• 2. DEPENDENCE OF RESISTANCE ON TEMPERATURE:QUALITATIVE DISCUSSION / 243
• 3. DEPENDENCE OF THE RESISTANCE ON THE POSITION OF THE METAL IN THE PERIODIC TABLE / 245
• 4. DETAILED THEORY OF CONDUCTIVITY:GENERAL OUTLINE / 247
• 5. CALCULATION OF THE PROBABILITY OF SCATTERING / 249
• 6. CALCULATION OF THE CURRENT / 258
• 7. RESISTANCE AT HIGH TEMPERATURES / 268
• 8. CHANGE OF RESISTANCE UNDER PRESSURE / 271
• 9. RESISTANCE AT LOW TEMPERATURES / 273
• 10. RESISTANCE OF LIQUID METALS / 277
• 11. EFFECT OF A MAGNETIC FIELD / 280
• 12. RESISTANCE OF ALLOYS
• DILUTE SOLUTIONS / 286
• 13. RESISTANCE OF ALLOYS
• CONCENTRATION OF BOTH COMPONENTS COMPARABLE / 296
• 14. RESISTANCE OF BISMUTH AND ITS ALLOYS / 302
• 15. THERMAL CONDUCTIVITY AND THERMOELECTRICITY / 305
• APPENDIX I. THE EFFECTIVE NUMBER OF FREE ELECTRONS IN CERTAIN METALS / 315
• APPENDIX II. SOME CONSTANTS OF METALS.PHYSICAL CONSTANTS AND CONVERSION FACTORS / 318
• SOME BOOKS AND ARTICLES DEALING WITH THE PROPERTIES OF METALS AND ALLOYS / 320
• INDEX OF NAMES / 321
• INDEX OF SUBJECTS / 324

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