## Introduction to Solid State Physics |

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Page 27

by hard spheres arranged in various structures is Simple cubic Body - centered

cubic Face - centered cubic Hexagonal close - packed Diamond a / 6 ( = 0 .

**Show**that the maximum proportion of the available volume which may be filledby hard spheres arranged in various structures is Simple cubic Body - centered

cubic Face - centered cubic Hexagonal close - packed Diamond a / 6 ( = 0 .

Page 198

/ [ ( c11 – C12 ) ( c11 + 2c12 ) ] ; lij = – B2QjQj / C44 ( i = j ) . This is a formal

explanation of the origin of magnetostriction . 10 . 4 .

energy ...

**Show**that the total energy is a minimum when eii = Bi [ c12 – ai ? ( C11 + 2012 ) ]/ [ ( c11 – C12 ) ( c11 + 2c12 ) ] ; lij = – B2QjQj / C44 ( i = j ) . This is a formal

explanation of the origin of magnetostriction . 10 . 4 .

**Show**that the magneticenergy ...

Page 247

Charles Kittel. PROBLEMS 12 . 1 .

gas at 0°K is U . ENWr ! . 12 . 2 . Using conventional valencies ,

sodium , potassium , and aluminum the values of W po are 3 . 12 , 2 . 14 , and 11

.

Charles Kittel. PROBLEMS 12 . 1 .

**Show**that the kinetic energy of a free electrongas at 0°K is U . ENWr ! . 12 . 2 . Using conventional valencies ,

**show**that forsodium , potassium , and aluminum the values of W po are 3 . 12 , 2 . 14 , and 11

.

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### Contents

LATTICE ENERGY OF IONIC CRYSTALS | 29 |

ELASTIC CONSTANTS OF CRYSTALS | 43 |

LATTICE VIBRATIONS | 60 |

Copyright | |

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alloy applied approximation atoms axes axis band boundary calculated cell chapter charge chloride condition conductivity consider constant crystal cubic defined dependence determined dielectric diffusion direction discussed dislocations displacement distance distribution domains effect elastic electric electron energy equal equation equilibrium example excitation experimental expression factor field force frequency function given gives heat holes interaction ionic ions lattice levels London magnetic magnetic field material mean measurements mechanism metals method molecules motion negative neighbor normal observed obtained parallel particles Phys physical plane polarization positive possible potential problem properties quantum range reference reflection region relation resistivity result room temperature scattering Show shown in Fig sodium solids space specimen stress structure suppose Table temperature theory thermal tion transition unit usually vacancy values volume wave zero