Clebsch-Gordan coefficients of symmetry groups

P.M. van den Broek, J.F. Cornwell

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    A method is given for the determination of Clebsch-Gordan coefficients of finite groups. The Clebsch-Gordan coefficients may be arranged into vectors which are eigenvectors of certain projection matrices. It is shown how an appropriate set of orthonormal eigenvectors of these matrices may be obtained; this set gives then a unitary matrix of Clebsch-Gordan coefficients. The symmetry properties of these Clebsch-Gordan coefficients are studied with special emphasis on the crystallographic space groups.
    Original languageEnglish
    Pages (from-to)211-224
    Number of pages14
    JournalPhysica Status Solidi. B: Basic Research
    Issue number1
    Publication statusPublished - 1978

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