Abstract
Atomic arrangement, unit cell, and Brillouin zone of metallic gallium are described, including notations for the various symmetry directions. The point and space groups are discussed, including character tables, and basis functions in the form of symmetrized plane waves for electronic wave functions of each symmetry type. The free-electron approximation is used as a first step toward finding the energy bands and Fermi surfaces. This work is preparatory toward a study of energy bands which is under way using the augmented-plane-wave method.
Keywords
Brillouin zoneSymmetry (geometry)GalliumPhysicsFree electron modelPlane wavePlane (geometry)Plane symmetryElectronQuantum mechanicsCondensed matter physicsMaterials scienceGeometryMathematics
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Publication Info
- Year
- 1962
- Type
- article
- Volume
- 126
- Issue
- 4
- Pages
- 1307-1317
- Citations
- 68
- Access
- Closed
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Cite This
J. C. Slater,
G. F. Koster,
J. H. Wood
(1962).
Symmetry and Free Electron Properties of the Gallium Energy Bands.
Physical Review
, 126
(4)
, 1307-1317.
https://doi.org/10.1103/physrev.126.1307
Identifiers
- DOI
- 10.1103/physrev.126.1307