Generalized chirality and symmetry deficiency |
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Authors: | Paul G Mezey |
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Institution: | (1) Mathematical Chemistry Research Unit, Department of Chemistry and Department of Mathematics and Statistics, University of Saskatchewan, 110 Science Place, Saskatoon, SK, Canada, S7N 5C9 |
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Abstract: | Some of the elementary properties of molecular electron densities are studied from the perspectives of generalizations of
symmetry, symmetry deficiency, and in particular, chirality. A simple, information‐theoretical proof of the Hohenberg–Kohn
theorem is discussed, and the information contents of local and global molecular electron densities are compared using a formulation
of quantum chemistry on a compact manifold. One result, the “holographic electron density theorem”, involving a compactification
step combined with analytic continuation, gives a tool for comparing local and global symmetry properties. The compact manifold
quantum chemistry approach leads to a precise statement on the role of local molecular regions in determining global properties
of complete, boundaryless molecules, resulting in constraints on their symmetry, chirality, and other types of symmetry deficiencies.
A special similarity measure, the SLT measure, is used for generalized density domain comparisons, suitable in general for
the comparison of semilattices with a tree structure.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | |
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