## Solid state physics |

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Page 3

In this discussion of the

many metals this assumption can be justified) that when atoms of a metallic

element are brought together to form a metal, the valence electrons become

detached ...

In this discussion of the

**Drude**model, however, we shall simply assume (and inmany metals this assumption can be justified) that when atoms of a metallic

element are brought together to form a metal, the valence electrons become

detached ...

Page 9

The length I measures the average distance an electron travels between

collisions. In

of energy: \mv02 = |/cBT. Using the known electronic mass, we find a vn of order

107 ...

The length I measures the average distance an electron travels between

collisions. In

**Drude's**time it was natural to estimate v0 from classical equipartitionof energy: \mv02 = |/cBT. Using the known electronic mass, we find a vn of order

107 ...

Page 52

6 e \ S? J \ 8F which is smaller than

0.01 at room temperature. Other Properties Since the form of the electronic

velocity distribution did not play a role in the calculation of the DC or AC

conductivities, ...

6 e \ S? J \ 8F which is smaller than

**Drude's**estimate (Eq. (1.60)) by 0(kBT/ZF) ~0.01 at room temperature. Other Properties Since the form of the electronic

velocity distribution did not play a role in the calculation of the DC or AC

conductivities, ...

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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