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Uniqueness of rotationally invariant polyhedra classification
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July 28, 2010
Abstract
In the past, algorithms have been proposed that yield a classification of coordination polyhedra (coordination stars) in terms of an infinite set of rotationally invariant coefficients. It is shown that this set provides a unique characterization of the polyhedra, in the sense that two polyhedra with the same set of coefficients can always be transformed into each other by a rotation or a rotation combined with an inversion.
Published Online: 2010-7-28
Published in Print: 1999-1-1
© 2015 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München
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Articles in the same Issue
- Uniqueness of rotationally invariant polyhedra classification
- Allotwinning: oriented crystal association of polytypes – some warnings on consequences
- Orientational disorder at growing surfaces of molecular crystals: general comments on polarity formation and on secondary defects
- Complex surface structures studied by low-energy electron diffraction
- The crystal structures of synthetic KSb5S8 and (Tl0.598, K0.402)Sb5S8 and their relation to parapierrotite (TlSb5S8)
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