Abstract
Many laborious calculations in solid-sate physics can be simplified if the symmetry of the system under consideration is properly included. Furthermore, statements about possible transition processes can very often be made just from symmetry considerations, without any calculation. In these considerations group theory plays a fundamental role. This chapter summarizes the symmetry properties of molecules and crystals, and reviews some elements of group theory. Selection rules for electronic and vibronic transitions will be discussed. An extended summary of group theory, the character tables for the point groups, and more about transformation of coordinates are given in Appendix G.
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References
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Additional Reading
Behringer J.: Factor Group Analysis Revisited and Unified, in Solid State Physics, Springer Tracts in Mod. Phys., Vol. 68 (Springer, Berlin, Heidelberg 1973)
Decius J.C., Hexter R.M.: Molecular Vibrations in Crystals (McGraw-Hill Inc., New York 1977)
Hamermesh M.: Group Theory and its Application to Physical Problems (Reading, London 1962)
Ludwig W., Falter C.: Symmetry in Physics, Springer Series in Solid-State Sci., Vol.64 (Springer, Berlin, Heidelberg 1988)
Nye J.F.: Physical Properties of Crystals (Oxford Univ. Press, Oxford 1985)
Poulet A., Mathieu J.P.: Vibrational Spectra and Symmetry of Crystals (Gordon and Breach, New York 1976)
Sherwood P.M.A.: Vibrational Spectra of Solids (Cambridge Univ. Press, Cambridge 1972)
Vainstein B.K.: Modern Crystallography I, Springer Series in Solid-State Sci. Vol.15 (Springer, Berlin, Heidelberg 1981)
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© 1998 Springer-Verlag Berlin Heidelberg
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Kuzmany, H. (1998). Symmetry and Selection Rules. In: Solid-State Spectroscopy. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03594-8_8
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DOI: https://doi.org/10.1007/978-3-662-03594-8_8
Publisher Name: Springer, Berlin, Heidelberg
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