## Introduction to Solid State Physics |

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Page 73

Calculated heat capacity of a one - dimensional monatomic lattice , in the

continuum

that hwmax = k® , with = 200°K , on both calculations . ( After M . Blackman , Proc

. Roy .

Calculated heat capacity of a one - dimensional monatomic lattice , in the

continuum

**approximation**, and on the exact theory . The curves are adjusted sothat hwmax = k® , with = 200°K , on both calculations . ( After M . Blackman , Proc

. Roy .

Page 74

In this

TTVO Jo chwkt – 1 dw . The upper limit to the integral , wm , is here to be

determined by the condition that the number of states considered should come

out equal to ...

In this

**approximation**dk / dw is simply 1 / vo , and we have ( 5 . 11 ) U - Lm hwTTVO Jo chwkt – 1 dw . The upper limit to the integral , wm , is here to be

determined by the condition that the number of states considered should come

out equal to ...

Page 77

We then treat the N degrees of freedom of the acoustical branch in the Debye

FUNCTION The heat capacity of a system of simple harmonic oscillators of the ...

We then treat the N degrees of freedom of the acoustical branch in the Debye

**approximation**, ( 5 . 11 ) or ( 5 . 16 ) . W 20 Mg 230 & Na 159 63 Cu Ni EINSTEINFUNCTION The heat capacity of a system of simple harmonic oscillators of the ...

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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