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Energy band theory and the lattice dynamics of rare gas crystals

✍ Scribed by J. P. Worth; S. B. Trickey


Book ID
104625827
Publisher
Springer US
Year
1980
Tongue
English
Weight
777 KB
Volume
38
Category
Article
ISSN
0022-2291

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✦ Synopsis


The results of a simple local-density energy band model (XoO are used to carry through a calculation of the phonon dispersion relations in fcc Ne and At. Adiabatic phonons, calculated from the computed Xa total energy surface, are perturbed by the Fr6hlich Hamiltonian with electron-phonon matrix elements calculated from the Xa energy bands. The use of low-order perturbation theory gives results in fair comparison with observed values, but shows the general scheme to be feasible. Except for questions of the exact physical content of the Xa model itself, the calculation is entirely ab initio, and is believed to be the first such achieved in insulators.

*References to this topic are numerous. We have found Refs. 8 particularly useful.


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Theory of anharmonicity in the lattice d
✍ S.H. Walmsley πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 493 KB

The use of the rigid-molecule approximation in the theory of lattice dynamics of molecular crystals leads to hiiherorder kinetic energy terms when anharmonic effects are allowed for. The conventional theory of lattice dynamics is extended to take account of these terms.