Pw. Fowler et al., SYMMETRY GENERALIZATION OF THE EULER-SCHLAFLI THEOREM FOR MULTISHELL POLYHEDRA, Journal of the Chemical Society. Faraday transactions, 92(24), 1996, pp. 4877-4884
Citations number
19
Categorie Soggetti
Chemistry Physical","Physics, Atomic, Molecular & Chemical
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 generalis
es the well known Euler and Schlafli theorems. The new theorem can be
expected to have applications in spectroscopic and electronic structur
e theory of a large class of clusters and coordination polyhedra.