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POSSIBLE SYMMETRIES OF FULLERENE STRUCTURES

Abstract:

Fullerene polyhedra are realisable within exactly 28 point groups: Ih, I, Td, Th, T, Dnh, Dnd, Dn (n=2, 3, 5, 6), S2m, Cmh, Cmv, Cm (m=2, 3), Cs, Ci, C1. Examples of each group can be found within the range C20 to C140, and isolated-pentagon fullerenes can be constructed for all 28 groups. The presence of a fivefold axis implies icosahedral or dihedral symmetry, and a sixfold axis implies dihedral symmetry. For groups with these axes of high order, the ring spiral algorithm is shown to be com...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Chemistry, Physical and Theoretical Chem
REDMOND, D More by this author
Journal:
CHEMICAL PHYSICS LETTERS
Volume:
202
Issue:
5
Pages:
371-378
Publication date:
1993-01-29
DOI:
ISSN:
0009-2614
URN:
uuid:371f05df-eb0e-4843-9b35-256e17fe37d1
Source identifiers:
44053
Local pid:
pubs:44053

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