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Internet Electronic Journal of Molecular Design - IEJMD, ISSN 1538-6414, CODEN IEJMAT
| ABSTRACT - Internet Electron. J. Mol. Des. April 2003, Volume 2, Number 4, 224-241 |
Edge Configurations on a Regular Octahedron. Their
Exhaustive Enumeration and Examination With Respect
to Edge Numbers and Point-Group Symmetries
Shinsaku Fujita and Nobukazu Matsubara
Internet Electron. J. Mol. Des. 2003, 2, 224-241
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Abstract:
The versatility of the USCI (unit-subduced-cycle-index)
approach is demonstrated in characterizing the
symmetries of octahedral complexes. Edge configurations
on a regular octahedron have been combinatorially
enumerated by the PCI (partial-cycle-index) method,
which is one of the four methods of the USCI approach.
Thereby, the complete set of edge configurations has
been obtained, where all edge configurations are
classified by virtue of two criteria, i.e., the numbers of
edges and the point-group symmetries. The latter
criterion enables us to examine chiral and achiral edge
configurations, where complementary configurations are
discussed in terms of the subductions of coset
representations. The USCI approach provides a common
tool to systematize inorganic stereochemistry as well as
organic stereochemistry.
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