Abstract

The new interpolation procedure of Shankland is applied to interpolation problems found in a periodic lattice. Two problems, the method of averaging the valence electron density over the Brillouin zone and the method of interpolating energy bands throughout the Brillouin zone from values at symmetry points, are discussed in detail. To illustrate the advantages of this procedure, examples are taken from self-consistent cubic ZnS and ZnSe orthogonalized-plane-wave calculations.

Keywords

Brillouin zoneInterpolation (computer graphics)Lattice (music)OpticsPlane wavePhysicsComputational physicsMaterials scienceCondensed matter physicsClassical mechanicsAcoustics

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Publication Info

Year
1969
Type
article
Volume
178
Issue
3
Pages
1419-1423
Citations
41
Access
Closed

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R. N. Euwema, D. J. Stukel, T. C. Collins et al. (1969). Crystalline Interpolation with Applications to Brillouin-Zone Averages and Energy-Band Interpolation. Physical Review , 178 (3) , 1419-1423. https://doi.org/10.1103/physrev.178.1419

Identifiers

DOI
10.1103/physrev.178.1419