The Point Groups as Semi-direct Products

  • G. S. Ezra
Part of the Lecture Notes in Chemistry book series (LNC, volume 28)


In this appendix the semi-direct product structure of the point groups is described, and it is shown how the general procedures summarized in Appendix 3 lead to a systematic determination of point group irreducible representations. McIntosh [146] has emphasized that the resulting nomenclature for the IRs is perhaps more rational than the familiar notation established by Placzek (cf. [6,85]); the point symmetry groups have also been treated from this viewpoint by Altmann [125,174], Bradley and Cracknell [175], and Fritzer [176,177] (see also [186,187]). The semi-direct decomposition of the point groups is helpful in the construction of rigid/nonrigid correlation diagrams, as discussed in Chapter 4.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • G. S. Ezra
    • 1
  1. 1.Department of ChemistryThe University of ChicagoChicagoUSA

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