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Computational group theory in crystal physics: A review

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  • Davies, B.L.

Abstract

A brief account is given of the rôle played by three-dimensional crystallographic point and space groups and their representations in computer programs in crystal physics. It covers their use in specific applications, for example energy band programs and lattice dynamics programs, together with their use in those programs written to calculate, for example, irreducible characters and matrix representatives, selection rules, Clebsch-Gordan coefficients, etc., which have general application in crystal physics.

Suggested Citation

  • Davies, B.L., 1982. "Computational group theory in crystal physics: A review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 114(1), pages 507-517.
    • Handle: RePEc:eee:phsmap:v:114:y:1982:i:1:p:507-517
    DOI: 10.1016/0378-4371(82)90340-5
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    1. Johnson, Roger G. & Goodman, Bernard L. & Dalsted, Norman L., 1972. "Farm Business Analysis by Size of Farm in Northern East Central North Dakota," Agribusiness & Applied Economics Report 60706, North Dakota State University, Department of Agribusiness and Applied Economics.
    2. Hansen, Pierre & Heinsbroek, Hans, 1979. "Product selection and space allocation in supermarkets," European Journal of Operational Research, Elsevier, vol. 3(6), pages 474-484, November.
    3. Irwin F. Goodman, 1970. "Statistical quality control of information," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 17(3), pages 389-396, September.
    4. J. F. N. Bradley, 1964. "The allies and Russia in the light of French archives (7 November 1917—15 March 1918)," Europe-Asia Studies, Taylor & Francis Journals, vol. 16(2), pages 166-185.
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    Cited by:

    1. Neubüser, Joachim, 1982. "Computing with groups and their character tables," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 114(1), pages 493-506.

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