Abstract
A theorem due to Lord Rayleigh is applied to the graphs and bual graphs of conjugated hydrocarbon molecules to show how the distribution of their eigenvalues can be understood. A lower bound to the number of eigenvalues larger than or equal to 2 can be predicted easily from the graphs. The uses of the theorem as applied to polyenes, non-alternants and polyhex are illustrated.
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Hall, G.G. Eigenvalue distributions in alternant hydrocarbons. J Math Chem 13, 191–203 (1993). https://doi.org/10.1007/BF01165564
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DOI: https://doi.org/10.1007/BF01165564