On the number of configurations in anN-electron system
Author:
- 1 January 1966
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 10 (5) , 479-488
Abstract
Starting from some previously derived results, general closed-form expressions are given for the total number of configurations or structures, the number of configurations of a particular multiplicity, and the total number of antisymmetrized product functions (AP's), in an N-electron system. The number of electrons may be even or odd, and the number of orbitals may assume any value larger than 1/2N - 1 or 1/2(N - 1) in the N = even and N = odd cases, respectively. Some special cases are mentioned in which the formulae become particularly simple. The results are derived in view of comparing molecular orbital and valence bond calculations on actual molecules when both methods are used in their many-configuration aspect.Keywords
This publication has 3 references indexed in Scilit:
- Combinatorial Mathematics1963
- Excited Electronic Levels in Conjugated Molecules: II. On the Symmetry and Multiplicity of Molecular StatesProceedings of the Physical Society (1926-1948), 1948
- The Application of Group theory to the Quantum Dynamics of Monatomic SystemsReviews of Modern Physics, 1930