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Zeitschrift für Kristallographie - Crystalline Materials

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

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Twin point groups and the polychromatic symmetry of twins

Massimo Nespolo

Citation Information: Zeitschrift für Kristallographie - Crystalline Materials. Volume 219, Issue 2, Pages 57–71, ISSN (Online) 2196-7105, ISSN (Print) 2194-4946, DOI: 10.1524/zkri., September 2009

Publication History

Published Online:


A new classification in terms of the number of independent twin elements is introduced and exploited to analyze the symmetry of multiple twins. The dichromatic point group description of twins is revised showing that, contrary to what stated in the previous literature, all the 58 dichromatic point groups represent the possible symmetry of some twins. This approach is extended in terms of polychromatic point groups and applied to some examples from the recent literature.

Citing Articles

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Acta Crystallographica Section E Structure Reports Online, 2010, Volume 66, Number 2, Page i14
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Journal of Materials Chemistry, 2007, Volume 17, Number 11, Page 1123
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