## Solid State PhysicsThis book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science. |

### From inside the book

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Page 132

Because the ions in a perfect crystal are arranged in a regular periodic array, we

are led to consider the

periodicity of the underlying Bravais lattice; i.e., U(r + R) = U(r) (8.1) for all Bravais

lattice ...

Because the ions in a perfect crystal are arranged in a regular periodic array, we

are led to consider the

**problem**of an electron in a potential U (r) with theperiodicity of the underlying Bravais lattice; i.e., U(r + R) = U(r) (8.1) for all Bravais

lattice ...

Page 140

Substituting this into the Schrodinger equation, we find that u is determined by

the eigenvalue

as a Hermitian eigenvalue

crystal.

Substituting this into the Schrodinger equation, we find that u is determined by

the eigenvalue

**problem**Hkuk(r) = ^ (j V + k J + ... condition we can regard (8.48)as a Hermitian eigenvalue

**problem**restricted to a single primitive cell of thecrystal.

Page 369

In general, for a fixed component of k parallel to the surface this matching will be

possible only for a discrete set of k (as is the case for any

localized levels). To explore this

In general, for a fixed component of k parallel to the surface this matching will be

possible only for a discrete set of k (as is the case for any

**problem**concerninglocalized levels). To explore this

**problem**further would take us well beyond the ...### What people are saying - Write a review

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### Contents

The Drude Theory of Metals | 1 |

The Sommerfeld Theory of Metals | 29 |

Failures of the Free Electron Model | 57 |

Copyright | |

49 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 direction Drude effect electric field electron gas electron-electron electronic levels energy gap equilibrium example face-centered cubic Fermi energy Fermi surface Figure free electron theory frequency given Hamiltonian hexagonal holes impurity independent electron approximation insulators integral interaction ionic crystals 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 vanishes velocity wave functions wave vector zero