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Ⅰ．THERMAL PROPERTIES OF THE CRYSTAL LATTICE 1

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 41

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 89

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 132

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 152

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 175

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 240

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