The symmetry groups of nonrigid molecules as generalized wreath products and their representations
- 1 January 1980
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 72 (1) , 665-677
- https://doi.org/10.1063/1.438963
Abstract
The symmetry groups of nonrigid molecules first defined by Longuet–Higgins, in the most general cases are generalized wreath product groups. We first outline the representation theory of wreath product groups. Then the representation theory of generalized wreath product groups is developed. Several illustrative examples of NMR groups are offered. The character tables of several nonrigid molecular groups are presented. An example of a nonrigid triphenyl molecule is given to illustrate the use of the generalized wreath product in deriving optical selection rules.Keywords
This publication has 27 references indexed in Scilit:
- Applications of artificial intelligence for chemical inference. 28. The configuration symmetry group and its application to stereoisomer generation, specification, and enumerationJournal of the American Chemical Society, 1979
- Symmetry of nonrigid molecules and isomerization processesInternational Journal of Quantum Chemistry, 1978
- Permutational isomerism with bidentate ligands and other constraintsJournal of the American Chemical Society, 1978
- Nuclear spin statistics in fluxional moleculesInternational Journal of Quantum Chemistry, 1973
- An application of the nonrigid molecule group theory to a problem of chemical reactivityInternational Journal of Quantum Chemistry, 1973
- Internal symmetry groups of non‐rigid moleculesInternational Journal of Quantum Chemistry, 1972
- The symmetry groups of non-rigid molecules as semi-direct productsMolecular Physics, 1970
- On the subgroups contained in the nuclear magnetic resonance symmetry groupInternational Journal of Quantum Chemistry, 1967
- Classification of the states of non-rigid moleculesMolecular Physics, 1966
- The symmetry groups of non-rigid moleculesMolecular Physics, 1963