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The spatial distribution of localized molecular orbital densities

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Abstract

The widely-employed “principal lobe” description of localized molecular orbitals is evaluated. Spatial decompositions of bond and lone pair LMO densities for a series of ten-electron hydrides are presented. “Tail” populations are ≃ 10 % of the total. The 0.001 electron a.u.−3 contour of the principal lobe contains ≃ 90 % of the pair population. A recent statistically defined cone model of valence orbital distribution correctly locates the central 45–50 % of the density. An earlier ellipsoidal model volume encompasses a much smaller fraction of the population, in agreement with its predictions on “ideal” Gaussian distributions.

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Stephens, M.E., Kapuy, E. & Kozmutza, C. The spatial distribution of localized molecular orbital densities. Theoret. Chim. Acta 45, 111–120 (1977). https://doi.org/10.1007/BF00552545

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