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Issue 24, 1996
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Symmetry generalisation of the Euler–Schläfli theorem for multi-shell polyhedra

Abstract

The point-group representations spanned by the vertices, edge vectors, face circulations and cell centres of a wide variety of multi-shelled polyhedral structures are related in a simple equation that generalises the well known Euler and Schläfli theorems. The new theorem can be expected to have applications in spectroscopic and electronic structure theory of a large class of clusters and coordination polyhedra.

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Article type: Paper
DOI: 10.1039/FT9969204877
Citation: J. Chem. Soc., Faraday Trans., 1996,92, 4877-4884
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    Symmetry generalisation of the Euler–Schläfli theorem for multi-shell polyhedra

    Patrick. W. Fowler, A. Rassat and A. Ceulemans, J. Chem. Soc., Faraday Trans., 1996, 92, 4877
    DOI: 10.1039/FT9969204877

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