Title: Symmetry extensions of eulers theorem for polyhedral, toroidal and benzenoid molecules
Authors: Ceulemans, Arnout ×
Fowler, Pw #
Issue Date: Jan-1995
Publisher: Royal soc chemistry
Series Title: Journal of the chemical society-faraday transactions vol:91 issue:18 pages:3089-3093
Abstract: Euler's theorem is extended to the permutation symmetries of objects associated with vertices, edges and faces of general polyhedra imbedded in the sphere, torus or a surface of higher genus. An equivalent general theorem is derived for benzenoid hydrocarbons. Further relations are found for deltahedral and three-coordinate polyhedra imbedded in the various surfaces. Application of the new theorems to vibrational analysis and molecular electronic structure is sketched, with particular reference to bonding in possible toroidal analogues of the fullerenes.
ISSN: 0956-5000
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Quantum Chemistry and Physical Chemistry Section
× corresponding author
# (joint) last author

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