## Solid state physics |

### From inside the book

Results 1-3 of 90

Page 176

All electrons would then be in

resemblance to the linear combinations of a few plane waves described in

Chapter 9. If we were to shrink the artificially large lattice constant of our array of

sodium ...

All electrons would then be in

**atomic**levels localized at lattice sites, bearing noresemblance to the linear combinations of a few plane waves described in

Chapter 9. If we were to shrink the artificially large lattice constant of our array of

sodium ...

Page 180

Placing (10.6) and (10.7) into (10.10) and using the orthonormality of the

wave functions, I ^(r)Wr)<fr = ^, (10.11) we arrive at an eigenvalue equation that

determines the coefficients bn(k) and the Bloch energies S(k): (8(k) - Em)bm ...

Placing (10.6) and (10.7) into (10.10) and using the orthonormality of the

**atomic**wave functions, I ^(r)Wr)<fr = ^, (10.11) we arrive at an eigenvalue equation that

determines the coefficients bn(k) and the Bloch energies S(k): (8(k) - Em)bm ...

Page 181

If the

approximation (10.12) reduces to a single equation giving an explicit expression

for the energy of the band arising from this s-level (generally referred to as an "s-

band").

If the

**atomic**level 0 is non- degenerate,8 i.e., an s-level, then in thisapproximation (10.12) reduces to a single equation giving an explicit expression

for the energy of the band arising from this s-level (generally referred to as an "s-

band").

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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