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Symmetry adapted functions for double point groups II. Cubic point groups

Published online by Cambridge University Press:  24 October 2008

A. P. Cracknell  and
S. J. Joshua
A. P. Cracknell
Affiliation:
Department of Physics, University of Essex, Wivenhoe Park, Colchester, Essex
S. J. Joshua
Affiliation:
Department of Physics, University of Essex, Wivenhoe Park, Colchester, Essex
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Abstract

A method of deriving the basis functions of the double-valued representations of a point group by the reduction of Kronecker products is described. The method has been used to derive expressions for these bases for cubic point groups for which the results are tabulated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 3 , May 1970 , pp. 647 - 656
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Altmann, S. L. and Bradley, C. J.On the symmetries of spherical harmonics. Philos. Trans. Roy. Soc. London Ser. A, 255 (1963), 199–215.Google Scholar
(2)Altmann, S. L. and Cracknell, A. P.Lattice harmonics I. Cubic groups. Rev. Modern Phys. 37 (1965), 19–32.Google Scholar
(3)Bradley, C. J.The matrix representatives for the rotation group. (Royal Society depository of unpublished tables, file no. 79; London, 1961; Library of Congress collection no. 61–18944; Washington, 1961.)Google Scholar
(4)Cracknell, A. P.Corepresentations of magnetic point groups. Progr. Theoret. Phys. 35 (1966), 196–213.Google Scholar
(5)Cracknell, A. P.Symmetry adapted functions for double point groups. I. Non-cubic point groups. Proc. Cambridge Philos. Soc. 65 (1969), 567–578.Google Scholar
(6)Cracknell, A. P. and Wong, K. C.Double-valued corepresentations of magnetic point groups. Austral. J. Phys. 20 (1967), 173–188.Google Scholar
(7)Koster, G. F., Dimmock, J. O., Wheeler, R. G. and Statz, H.Properties of the thirty-two point groups. M.I.T. Press (Cambridge, Mass., 1963).Google Scholar
(8)Loucks, T. L.Relativistic electronic structure in crystals. I. Theory. Phys. Rev. 139 (1965), A1333–A1337.Google Scholar
(9)Onodera, Y. and Okazaki, M.Relativistic theory for energy-band calculations. J. Phys. Soc. Japan, 21 (1966), 1273–1281.Google Scholar
(10)Onodera, Y. and Okazaki, M.Tables of basis functions for double point groups. J. Phys. Soc. Japan, 21 (1966), 2400–2408.Google Scholar
(11)Rose, M. E.Elementary theory of angular momentum (Wiley; New York, 1957).Google Scholar