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Zeitschrift für Kristallographie - Crystalline Materials

Ed. by Antipov, Evgeny / Bismayer, Ulrich / Huppertz, Hubert / Petrícek, Václav / Pöttgen, Rainer / Schmahl, Wolfgang / Tiekink, E. R. T. / Zou, Xiaodong

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Noncrystallographic symmetry and the sampling theorem

P. M. Colman

Citation Information: Zeitschrift für Kristallographie. Volume 140, Issue 5-6, Pages 344–349, ISSN (Online) 0044-2968, ISSN (Print) 1433-7266, DOI: 10.1524/zkri.1974.140.5-6.344, July 2010

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When the asymmetric unit of a crystal structure expresses some noncrystallographic symmetry it is often found that these local symmetry elements involve only proper rotations. Under these conditions the relations between the structure factors resulting from this repetition within the crystallographic asymmetric unit reduce to a statement of the Whittaker-Shannon sampling theorem, and thereby suggest the real space method for solution. A simple model structure is solved as an example.

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