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Zeitschrift für Kristallographie - Crystalline Materials

Editor-in-Chief: Pöttgen, Rainer

Ed. by Antipov, Evgeny / Bismayer, Ulrich / Boldyreva, Elena V. / Huppertz, Hubert / Petrícek, Václav / Tiekink, E. R. T.

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2196-7105
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Volume 140, Issue 5-6 (Dec 1974)

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Noncrystallographic symmetry and the sampling theorem

P. M. Colman
Published Online: 2010-07-28 | DOI: https://doi.org/10.1524/zkri.1974.140.5-6.344

Abstract

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.

About the article

Published Online: 2010-07-28

Published in Print: 1974-12-02


Citation Information: Zeitschrift für Kristallographie - Crystalline Materials, ISSN (Online) 2196-7105, ISSN (Print) 2194-4946, DOI: https://doi.org/10.1524/zkri.1974.140.5-6.344.

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[2]
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[3]
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