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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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IMPACT FACTOR increased in 2014: 1.310

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Twins vs. modular crystal structures

Massimo Nespolo / Giovanni Ferraris / Slavomil Ďurovič / Yoshio Takéuchi

Citation Information: Zeitschrift für Kristallographie - Crystalline Materials. Volume 219, Issue 12, Pages 773–778, ISSN (Online) 2196-7105, ISSN (Print) 2194-4946, DOI: 10.1524/zkri.219.12.773.55868, September 2009

Publication History

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The crystallographic nature of modular structures is analysed and discussed in terms of their symmetry and structure building operations. The modular crystal structures we discuss in this paper are homogeneous edifices, built by one or more types of modules related by a point-space operation, and the whole structure is described by an ordinary three-dimensional triperiodic space group. Because the term “twin” is often used, with or without modifiers, to describe symmetry operations that act as building mechanisms in modular structures, a comparison is made with twins, that are instead heterogeneous edifices, described not by a space group but by a (polychromatic) point group, where the individuals are related by operations in the vector space. A unifying scheme is proposed where the passage from heterogeneous to homogeneous structures, only apparently justified by a change of dimensions of the individuals, implies a change of space where the operations are defined.

Citing Articles

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Philipp Hans, Berthold Stöger, Matthias Weil, and Erich Zobetz
Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials, 2015, Volume 71, Number 2, Page 194
Jean-Guillaume Eon and Massimo Nespolo
Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials, 2015, Volume 71, Number 1, Page 34
Massimo Nespolo, Giovanni Ferraris, and Bernd Souvignier
Acta Crystallographica Section A Foundations and Advances, 2014, Volume 70, Number 2, Page 106
Shan-Rong Zhao, Hai-Jun Xu, Rong Liu, Qin-Yan Wang, and Xian-Yu Liu
Journal of Applied Crystallography, 2013, Volume 46, Number 1, Page 216
Leifeng Liu, Mingrun Li, Weiming Gao, Björn Åkermark, and Junliang Sun
Zeitschrift für Kristallographie, 2012, Volume 227, Number 4, Page 221
Massimo Nespolo and Giovanni Ferraris
Zeitschrift für Kristallographie, 2005, Volume 220, Number 4/2005
Massimo Nespolo
Acta Crystallographica Section A Foundations of Crystallography, 2008, Volume 64, Number 1, Page 96

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