Volume 36, Number 9, December III 1996
|Page(s)||645 - 650|
|Published online||01 September 2002|
Homology groups, symmetry representations and polyhedral clusters
Division of Quantum Chemistry,
University of Leuven, Celestijnenlaan 200F, B-3001 Leuven, Belgium
2 Department of Chemistry, University of Exeter, Stocker Road, Exeter, EX4 4QD UK
Accepted: 12 November 1996
Physical properties of cages and clusters obey symmetry rules that are extensions of the celebrated Euler-Poincaré theorem on polyhedra. A connection is established between this result and a fundamental topological relationship in the theory of homology groups. The connection allows us to assign symmetry representations to physically relevant topological invariants. The results are illustrated by a derivation of the symmetries of the low-lying empty orbitals in leapfrog fullerenes.
PACS: 02.10.Ws – Category theory and homological algebra / 36.40.-c – Atomic and molecular clusters
© EDP Sciences, 1996
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.