## Solid state physics |

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Page 179

(10.5) Thus the

k, while continuing to display the atomic character of the levels. The energy

bands arrived at in this way, however, have little structure, &Jk) being simply the ...

(10.5) Thus the

**wave functions**(10.4) satisfy the Bloch condition with wave vectork, while continuing to display the atomic character of the levels. The energy

bands arrived at in this way, however, have little structure, &Jk) being simply the ...

Page 180

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

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

Page 195

Thus within the core region the valence

oscillatory than the core

an apparently different argument : Eigenstates of the same Hamiltonian with

different ...

Thus within the core region the valence

**wave functions**must be even moreoscillatory than the core

**wave functions**. This conclusion can also be reached byan apparently different argument : Eigenstates of the same Hamiltonian with

different ...

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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