## Introduction to Solid State Physics |

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Page 37

We have dU/dV = (dU/dR)(dR/dV); d2U/dV2 = (dU/dR)(d2R/dV2) + (d2U/dR2)(dR

/dV)2. At the

l8NR0\dR2/So' using (2.10) (dR/dV)2 = l/36AT2i24. From Eq. (2.2) we have U = N

i ...

We have dU/dV = (dU/dR)(dR/dV); d2U/dV2 = (dU/dR)(d2R/dV2) + (d2U/dR2)(dR

/dV)2. At the

**equilibrium**separation, R = R0 and dU/dR is zero, so that V ' ; Kl8NR0\dR2/So' using (2.10) (dR/dV)2 = l/36AT2i24. From Eq. (2.2) we have U = N

i ...

Page 308

There exist in a crystal in thermal

some crystals the number of vacancies may be of the order of 2 % near the

melting point. The excess heat capacity of silver bromide in Fig. 15.7 is, for

example, ...

There exist in a crystal in thermal

**equilibrium**a number of vacant lattice points. Insome crystals the number of vacancies may be of the order of 2 % near the

melting point. The excess heat capacity of silver bromide in Fig. 15.7 is, for

example, ...

Page 376

These conditions for

thermodynamics to solid state problems. The central result of statistical

mechanics is that in thermal

state i is ...

These conditions for

**equilibrium**are frequently the basis of the applications ofthermodynamics to solid state problems. The central result of statistical

mechanics is that in thermal

**equilibrium**the probability of finding a system in astate i is ...

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### Contents

LATTICE ENERGY OF IONIC CRYSTALS | 29 |

ELASTIC CONSTANTS OF CRYSTALS | 43 |

LATTICE VIBRATIONS | 60 |

Copyright | |

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alkali alloy antiferromagnetic applied approximation atoms axes axis barium titanate boundary Brillouin zones calculated charge coefficient conduction band consider crystal structure cube cubic crystal Curie point curve Debye density diamagnetic dielectric constant diffraction dipole direction discussed dislocation displacement distribution domain effect elastic electric field entropy equation equilibrium experimental F-centers factor Fermi ferroelectric ferromagnetic free electron frequency heat capacity holes impurity interaction ionic crystals ions lattice constant lattice points London low temperatures magnetic field mean free path metals molecules motion nearest neighbor normal observed orbital parallel paramagnetic particles perovskite phonons Phys physical plane polarizability polarization positive potential Proc quantum ratio region resonance result room temperature rotation scattering Seitz shear Shockley shown in Fig simple cubic single crystal sodium chloride solids specimen spin superconducting susceptibility symmetry theory thermal tion unit cell unit volume valence values vector velocity wave functions wavelength x-ray zero