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Phase-fixed double-group 3-Γ symbols. VI. Real 3-Γ symbols and coupling coefficients for the group hierarchy I *⊃ C *5

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Abstract

It is demonstrated that for the group-subgroup hierarchy I *⊃ C *5 , one may choose standard irreducible matrix representations and corresponding all-real sets of 3-Γ symbols which obey a formalism just as elegant as the classical one for the 3-j symbols of the rotation double group. The 3-Γ symbols are phase-fixed by the specification of basis functions (or, equivalently, subduction coefficients) generating them and based on functions first given by McLellan.

Other icosahedral double-group hierarchies are also briefly discussed.

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Author notes

  1. Ture Damhus

    Present address: Department of Pharmaceutical Chemistry AD, Royal Danish School of Pharmacy, Universitetsparken 2, DK-2100, Copenhagen Ø, Denmark

Authors and Affiliations

  1. Chemistry Department I, H. C. Ørsted Institute, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen Ø, Denmark

    Ture Damhus, Sven E. Harnung & Claus E. Schäffer

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  1. Ture Damhus
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  2. Sven E. Harnung
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  3. Claus E. Schäffer
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Damhus, T., Harnung, S.E. & Schäffer, C.E. Phase-fixed double-group 3-Γ symbols. VI. Real 3-Γ symbols and coupling coefficients for the group hierarchy I *⊃ C *5 . Theoret. Chim. Acta 65, 433–447 (1984). https://doi.org/10.1007/BF00550839

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  • DOI: https://doi.org/10.1007/BF00550839

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