## Introduction to Solid State Physics |

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Page 73

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

continuum

that ftojm„ = £0, with 0 = 200°K, on both calculations. [After M. Blackman, Proc.

Roy. Soc.

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

continuum

**approximation**, and on the exact theory. The curves are adjusted sothat ftojm„ = £0, with 0 = 200°K, on both calculations. [After M. Blackman, Proc.

Roy. Soc.

Page 74

In this

Jo e "/kt — 1 The upper limit to the integral, um, is here to be determined by the

condition that the number of states considered should come out equal toN = L/a.

In this

**approximation**dk/da> is simply \/vq, and we have (5.11) U / w>7 , do irvqJo e "/kt — 1 The upper limit to the integral, um, is here to be determined by the

condition that the number of states considered should come out equal toN = L/a.

Page 77

If the mass ratio m/M is ^ 1, however, the total spread in frequency of the optical

branch becomes quite small; this fact suggests a simple

heat capacity. If the total number of atoms is 2N, we treat the N normal modes of

the ...

If the mass ratio m/M is ^ 1, however, the total spread in frequency of the optical

branch becomes quite small; this fact suggests a simple

**approximation**to theheat capacity. If the total number of atoms is 2N, we treat the N normal modes 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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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