## Solid state physics |

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Page 14

Setting/,, to zero in the second equation of (1.19) we find that Therefore the Hall

that the Hall

Setting/,, to zero in the second equation of (1.19) we find that Therefore the Hall

**coefficient**(1.15) is R„ = - — . (1.21) nee This is a very striking result, for it assertsthat the Hall

**coefficient**depends on no parameters of the metal except the ...Page 58

Inadequacies in the Free Electron Transport

Free electron theory predicts a Hall

electrons has the constant value RH = — 1 /nee, independent of the temperature,

the ...

Inadequacies in the Free Electron Transport

**Coefficients**(a) The Hall**Coefficient**Free electron theory predicts a Hall

**coefficient**which at metallic densities ofelectrons has the constant value RH = — 1 /nee, independent of the temperature,

the ...

Page 197

(ii.il) lm will solve (11.1) at energy 8 for arbitrary

) will only yield an acceptable wave function for the crystal if it satisfies the

boundary conditions (11.7) and (1 1.8). It is in the imposition of these boundary ...

(ii.il) lm will solve (11.1) at energy 8 for arbitrary

**coefficients**Alm. However, (11.11) will only yield an acceptable wave function for the crystal if it satisfies the

boundary conditions (11.7) and (1 1.8). It is in the imposition of these boundary ...

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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