Continuous symmetry measures for complex symmetry group

Copyright © 2014 Wiley Periodicals, Inc.

Bibliographische Detailangaben
Veröffentlicht in:Journal of computational chemistry. - 1984. - 35(2014), 9 vom: 05. Apr., Seite 748-55
1. Verfasser: Dryzun, Chaim (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2014
Zugriff auf das übergeordnete Werk:Journal of computational chemistry
Schlagworte:Journal Article Lennard-Jones clusters high symmetry metal-complexes symmetry symmetry symmetry maps symmetry measures water dynamics
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520 |a Symmetry is a fundamental property of nature, used extensively in physics, chemistry, and biology. The Continuous symmetry measures (CSM) is a method for estimating the deviation of a given system from having a certain perfect symmetry, which enables us to formulate quantitative relation between symmetry and other physical properties. Analytical procedures for calculating the CSM of all simple cyclic point groups are available for several years. Here, we present a methodology for calculating the CSM of any complex point group, including the dihedral, tetrahedral, octahedral, and icosahedral symmetry groups. We present the method and analyze its performances and errors. We also introduce an analytical method for calculating the CSM of the linear symmetry groups. As an example, we apply these methods for examining the symmetry of water, the symmetry maps of AB4 complexes, and the symmetry of several Lennard-Jones clusters 
650 4 |a Journal Article 
650 4 |a Lennard-Jones clusters 
650 4 |a high symmetry 
650 4 |a metal-complexes symmetry 
650 4 |a symmetry 
650 4 |a symmetry maps 
650 4 |a symmetry measures 
650 4 |a water dynamics 
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