## Solid State PhysicsThis book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science. |

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Page 145

For example, the gradient of a differentiable function

and minima, but the boundedness and periodicity of each S„(k) insure that for

each n there will be at least one maximum and minimum in each primitive cell.28

...

For example, the gradient of a differentiable function

**vanishes**at local maximaand minima, but the boundedness and periodicity of each S„(k) insure that for

each n there will be at least one maximum and minimum in each primitive cell.28

...

Page 444

It is not difficult to show that this implies that t/harm can depend on the derivatives

(d/dxjiin only in the symmetrical combination (the strain tensor): 31 Evidently our

theory will make sense only if D(R)

It is not difficult to show that this implies that t/harm can depend on the derivatives

(d/dxjiin only in the symmetrical combination (the strain tensor): 31 Evidently our

theory will make sense only if D(R)

**vanishes**rapidly enough at large R for the ...Page 760

The Sommerfeld Expansion The Sommerfeld expansion is applied to integrals of

the form 1 dZ H(8)/(S), /(S)-g(s-W+ f. (CD where H(Z)

diverges no more rapidly than some power of 8 as 8 -» + oo. If one defines = 1.

The Sommerfeld Expansion The Sommerfeld expansion is applied to integrals of

the form 1 dZ H(8)/(S), /(S)-g(s-W+ f. (CD where H(Z)

**vanishes**as 8 -> — oo anddiverges no more rapidly than some power of 8 as 8 -» + oo. If one defines = 1.

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### Contents

The Drude Theory of Metals | 1 |

Failures of the Free Electron Model | 57 |

The facecentered cubic elements | 72 |

Copyright | |

34 other sections not shown

### Other editions - View all

Solid State Physics: Advances in Research and Applications, Volume 42 Henry Ehrenreich Limited preview - 1989 |

### Common terms and phrases

alkali atomic band structure Bloch boundary condition Bragg plane Bravais lattice Brillouin zone calculation carrier densities Chapter coefficients collisions conduction band conduction electrons contribution crystal momentum crystal structure density of levels dependence described determined direction Drude effect electric field electron gas electron-electron electronic levels energy gap equilibrium example Fermi energy Fermi surface Figure free electron theory frequency given Hamiltonian hexagonal holes impurity independent electron approximation insulators integral interaction ionic crystals lattice planes lattice point linear magnetic field metals motion nearly free electron neutron normal modes Note number of electrons one-electron levels orbits periodic potential perpendicular phonon Phys plane waves primitive cell primitive vectors problem properties quantum reciprocal lattice vector region result scattering Schrodinger equation semiclassical semiclassical equations semiclassical model semiconductors simple cubic solid solution specific heat sphere spin superconducting symmetry temperature term thermal tight-binding valence vanishes velocity wave functions wave vector zero