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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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IMPACT FACTOR 2016: 3.179

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2196-7105
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Volume 142, Issue 1-2 (Jan 1975)

Issues

Point groups and color symmetry

Marjorie Senechal
Published Online: 2010-07-28 | DOI: https://doi.org/10.1524/zkri.1975.142.1-2.1

Abstract

A theory of polycolor symmetry is derived from elementary considerations. It is shown that each color group is characterized by a symmetry group G, and a subgroup H which determines a homomorphism from G to a group Γ of color permutations. Various ways in which the properties of H can affect the color groups are discussed. The 32 crystallographic point groups are classified in a new way which facilitates the determination of subgroups and hence of color groups. Several treatments of color symmetry that have appeared in the literature are discussed. They seem to differ in their assumptions and conclusions; it is shown that most of these differences can be traced to implicit or explicit requirements which the authors have placed on the groups H or Γ.

About the article

Published Online: 2010-07-28

Published in Print: 1975-01-01



Citation Information: Zeitschrift für Kristallographie - Crystalline Materials, ISSN (Online) 2196-7105, ISSN (Print) 2194-4946, DOI: https://doi.org/10.1524/zkri.1975.142.1-2.1. Export Citation

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[1]
Ron Lifshitz
Reviews of Modern Physics, 1997, Volume 69, Number 4, Page 1181
[2]
P.M. Zorky
Journal of Molecular Structure: THEOCHEM, 1996, Volume 374, Number 1-3, Page 9
[3]
Branko Grünbaum and G.C. Shephard
Discrete Mathematics, 1977, Volume 20, Page 235
[4]
Richard L. Roth
Discrete Mathematics, 1982, Volume 38, Number 2-3, Page 273
[5]
Marjorie Senechal
Discrete Applied Mathematics, 1979, Volume 1, Number 1-2, Page 51
[6]
H.S.M. Coxeter
Computers & Mathematics with Applications, 1989, Volume 17, Number 1-3, Page 59
[7]
P.M. Zorky
Journal of Molecular Structure, 1996, Volume 374, Number 1-3, Page 9
[8]
Martin Gubler
Zeitschrift für Kristallographie, 1982, Volume 158, Number 1-2, Page 1
[9]
Martin Gubler
Zeitschrift für Kristallographie, 1982, Volume 158, Number 1_2, Page 1
[10]
Alain Bossavit
SIAM Journal on Applied Mathematics, 1993, Volume 53, Number 5, Page 1352
[11]
Leonid G Fel, Vladimir Sh Machavariani, and David J Bergman
Journal of Physics A: Mathematical and General, 2000, Volume 33, Number 38, Page 6669
[12]
H. S. M. Coxeter
International Journal of Quantum Chemistry, 1987, Volume 31, Number 3, Page 455

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