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Group Theory and Crystal Lattices

Dorothy G. Bell

Dorothy G. Bell

  • Radar Research Establishment, Great Malvern, England

Rev. Mod. Phys. 26, 311 – Published 1 July, 1954

DOI: https://doi.org/10.1103/RevModPhys.26.311

Abstract

A method of obtaining the angular parts of one electron wave functions in all crystal lattices is discussed. The functions are shown to be bases for irreducible representations of rotation groups. Tables of these functions are given for use in cubic and close packed hexagonal lattices. Consideration is also given to angular wave functions in polyatomic crystals.

References (3)

  1. H. A. Bethe, Ann. Physik 3, 133 (1929) C. Eckart, Revs. Modern Phys. 2, 344 (1930) D. H. Ewing and F. Seitz, Phys. Rev. 43, 804 (1933) Bouckaert, Smoluchowski, and Wigner, 50, 58 (1936) F. Seitz, Modern Theory of Solids (McGraw-Hill Book Company, Inc., New York, 1940) F. C. Von der Lage, and H. A. Bethe, Phys. Rev. 71, 612 (1947) C. Herring, J. Franklin Inst. 233, 525 (1952) W. Doring and V. Zehler, Ann. Physik 13, 214 (1953) Bell, Hum, Pincherle, Sciama, and Woodward, Proc. Roy. Soc. (London) A71, 217 (1953)
  2. reference 1, F. C. Von der Lage and H. A. Bethe
  3. E. Wigner and F. Seitz, Phys. Rev. 43, 804 (1933) J. C. Slater, 45, 794 (1934) W. Shockley, 52, 866 (1937) W. Kohn, 87, 472 (1952) D. J. Howarth and H. Jones, Proc. Phys. Soc. (London) A65, 355 (1952) Bell, Hum, Pincherle, Sciama, and Woodward, reference 1 D. P. Jenkins and L. Pincherle, Phil. Mag., Ser. 7 45, 93 (1954) L. I. Schiff, Proc. Phys. Soc. (London) A67, 1 (1954)

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