## Solid state physics |

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Page 185

In metals the highest band (or bands) are very broad, since the spatial ranges of

the highest atomic levels are comparable to a lattice constant, and the

wave ...

In metals the highest band (or bands) are very broad, since the spatial ranges of

the highest atomic levels are comparable to a lattice constant, and the

**tight**-**binding**approximation is then of doubtful validity. 3. Although the**tight**-**binding**wave ...

Page 186

This can be viewed as essentially the first approach, in which, however,

approximate molecular wave functions are used, the approximation to the

molecular levels being combined with the

levels of the entire ...

This can be viewed as essentially the first approach, in which, however,

approximate molecular wave functions are used, the approximation to the

molecular levels being combined with the

**tight**-**binding**approximation to thelevels of the entire ...

Page 187

metallic to the atomic state as the interatomic distance is continuously increased.

15 If we took the

constant in a metal increased, the overlap between all atomic levels would ...

metallic to the atomic state as the interatomic distance is continuously increased.

15 If we took the

**tight**-**binding**approximation at face value, then as the latticeconstant in a metal increased, the overlap between all atomic levels would ...

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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