## Introduction to Solid State Physics |

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Page 75

If we set we have x = hu/kT, x3 dx 2ir2h3v03 Jo v03 Jo ex - l' where (5.17) xm =

ftoWfcT = hkmv0/kT = (fttfoArXfor'AO" = 0/7', this being the definition of the

characteristic temperature 0. The heat capacity is given by differentiating (5.14) or

...

If we set we have x = hu/kT, x3 dx 2ir2h3v03 Jo v03 Jo ex - l' where (5.17) xm =

ftoWfcT = hkmv0/kT = (fttfoArXfor'AO" = 0/7', this being the definition of the

**Debye**characteristic temperature 0. The heat capacity is given by differentiating (5.14) or

...

Page 76

It is customary to test the applicability of the

0 as a function of temperature by fitting a

capacity curve at various temperatures. If Fig. 5.2. Heat capacity of a solid (in

three ...

It is customary to test the applicability of the

**Debye**approximation by calculating0 as a function of temperature by fitting a

**Debye**curve to the experimental heatcapacity curve at various temperatures. If Fig. 5.2. Heat capacity of a solid (in

three ...

Page 80

Now we may write approximately (5.28) F = U0(V) + FD(T,V), where U0(V) is the

internal energy at 0°K and F D is the contribution (in the

the lattice vibrations to the free energy. In the spirit of the

Now we may write approximately (5.28) F = U0(V) + FD(T,V), where U0(V) is the

internal energy at 0°K and F D is the contribution (in the

**Debye**approximation) ofthe lattice vibrations to the free energy. In the spirit of the

**Debye**approximation ...### What people are saying - Write a review

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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