Abstract
A quantum chemical definition of the valency of an atom in a molecule is proposed. It is defined as the sum of the squares of the appropriate offdiagonal elements of the first-order density matrix of the system in an orthogonal basis. It is a measure of the degree of electron sharing of the given atom with the other atoms. Its properties such as invariance to rotation of the coordinate system, its limiting values as well as its relation to natural hybrids and bond orbitals are discussed.
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References
Coulson, C. A.: Trans. Faraday Soc.42, 265 (1946)
Davidson, E. R.: Reduced density matrices in quantum chemistry. New York: Academic Press 1976
Jug, K.: J. Am. Chem. Soc.99, 7800 (1977)
Wiberg, K. B.: Tetrahedron24, 1083 (1968)
McWeeny, R.: Rev. Mod. Phys.32, 335 (1960)
Löwdin, P. O.: Phys. Rev.97, 1474 (1955)
Foster, J. P., Weinhold, F.: J. Am. Chem. Soc.102, 7211 (1980)
McWeeny, R., Del Re, G.: Theoret. Chim. Acta (Berl.)10, 13 (1968)
Jug, K.: J. Am. Chem. Soc.100, 6581 (1978)
Nanda, D. N., Jug, K.: Theoret. Chim. Acta (Berl.)57, 95 (1980)
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Alexander von Humboldt Fellow 1982–83
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Gopinathan, M.S., Jug, K. Valency. I. A quantum chemical definition and properties. Theoret. Chim. Acta 63, 497–509 (1983). https://doi.org/10.1007/BF00552652
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DOI: https://doi.org/10.1007/BF00552652