The Point Groups as Semi-direct Products
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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  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 , 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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