Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-25T04:41:09.796Z Has data issue: false hasContentIssue false

A modification of the molecular orbital method: the LCMO method

Published online by Cambridge University Press:  24 October 2008

M. J. S. Dewar
Affiliation:
Courtaulds Ltd.Maidenhead, Berks

Extract

A modification of the MO method is described which leads to the same polynomial secular equation as does the LCAO method, but via a simpler secular determinant. The basic idea is to divide the whole molecule into parts, calculate the MO's for these by the usual method, and then use linear combinations of these MO's as trial eigen-functions in a variational treatment of the whole molecule.

Equations are developed for a number of cases, and it is shown that the computations of energy levels and MO's from them is often much simpler than from the corresponding LCAO equations.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1949

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Coulson, C. A.Proc. Cambridge Phil. Soc. 36 (1940), 201.CrossRefGoogle Scholar
(2)Coulson, C. A. and Longuet-Higgins, H. C.Proc. Roy. Soc. A, 191 (1947), 39; 192 (1947), 16.Google Scholar
(3)London, A.J. Chem. Phys. 13 (1945), 396.CrossRefGoogle Scholar
(4)Longuet-Higgins, H. C. and Coulson, C. A.Trans. Faraday Soc. 43 (1947), 87.CrossRefGoogle Scholar
(5)Wheland, G. W.J. American Chem. Soc. 63 (1941), 2025; 64 (1942), 900.CrossRefGoogle Scholar