## Solid state physics |

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Page 132

Because the ions in a perfect crystal are arranged in a regular periodic array, we

are led to consider the

periodicity of the underlying Bravais lattice; i.e., U(x + R) = l/(r) (8.1) for all Bravais

lattice ...

Because the ions in a perfect crystal are arranged in a regular periodic array, we

are led to consider the

**problem**of an electron in a potential l/(r) with theperiodicity of the underlying Bravais lattice; i.e., U(x + R) = l/(r) (8.1) for all Bravais

lattice ...

Page 140

Because the eigenvalue

general grounds to find an infinite family; of solutions with discretely spaced

eigenvalues,16 which we label with the band index n. Note that in terms of the ...

Because the eigenvalue

**problem**is set in a fixed finite volume, we expect ongeneral grounds to find an infinite family; of solutions with discretely spaced

eigenvalues,16 which we label with the band index n. Note that in terms of the ...

Page 369

In general, for a fixed component of k parallel to the surface this matching will be

possible only for a discrete set of k (as is the case for any

localized levels). To explore this

In general, for a fixed component of k parallel to the surface this matching will be

possible only for a discrete set of k (as is the case for any

**problem**concerninglocalized levels). To explore this

**problem**further would take us well beyond the ...### What people are saying - Write a review

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### Contents

The Dmle Theory of Metals | 1 |

The Sommerfeld Theory of Metals | 29 |

Failures of the Free Electron Model | 57 |

Copyright | |

48 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 Drude effect electric field electron gas electron-electron electronic levels energy gap equilibrium example Fermi energy Fermi surface Figure frequency given Hamiltonian hexagonal holes impurity independent electron approximation insulators integral interaction ionic crystals ions 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 valence band vanishes velocity wave functions wave vector zero