## Solid state physics |

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Page 101

The Ewald Construction A simple geometric construction due to Ewald is of great

help in visualizing these various methods and in deducing the crystal structure

from the peaks so observed. We draw in /c-space a

...

The Ewald Construction A simple geometric construction due to Ewald is of great

help in visualizing these various methods and in deducing the crystal structure

from the peaks so observed. We draw in /c-space a

**sphere**centered on the tip of...

Page 162

In doing this for weak potentials, the procedure is first to draw the free electron

Fermi

in a manner of which Figure 9.6 is characteristic1 ' when it crosses a Bragg plane

...

In doing this for weak potentials, the procedure is first to draw the free electron

Fermi

**sphere**centered at k = 0. Next, one notes that the**sphere**will be deformedin a manner of which Figure 9.6 is characteristic1 ' when it crosses a Bragg plane

...

Page 165

Figure 9.9 The free electron Fermi

valence 4. The first zone lies entirely within the interior of the

intersected ...

Figure 9.9 The free electron Fermi

**sphere**for a face-centered cubic metal ofvalence 4. The first zone lies entirely within the interior of the

**sphere**, and the**sphere**does not extend beyond the fourth zone. Thus the only zone surfacesintersected ...

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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