On the real combinations of cubes and octahedra-Reference-Cited by-同舟云学术

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On the real combinations of cubes and octahedra

Published:2020-01-10 Issue:2 Volume:76 Page:206-210
ISSN:2053-2733
Container-title:Acta Crystallographica Section A Foundations and Advances
language:
Short-container-title:Acta Cryst Sect A

Author:

Voytekhovsky Yury L.,Stepenshchikov Dmitry G.

Abstract

All the real combinations of cubes and octahedra (77657 in total) are enumerated and characterized by facet symbols and symmetry point groups. The most symmetrical polyhedra (with automorphism group orders not less than 6, 163 in total) are shown. It is assumed that they represent the most probable forms of natural diamond crystals. The results are discussed with respect to the Curie dissymmetry principle.

Publisher

International Union of Crystallography (IUCr)

Subject

Inorganic Chemistry,Physical and Theoretical Chemistry,Condensed Matter Physics,General Materials Science,Biochemistry,Structural Biology

Link

http://journals.iucr.org/a/issues/2020/02/00/ae5077/ae5077.pdf

Reference9 articles.

1. Goldschmidt, V. (1916). Atlas der Krystallformen. Vol. III. Heidelberg: Winter.

2. Goldschmidt, V. (1918). Atlas der Krystallformen. Vol. IV. Heidelberg: Winter.

3. Graef, M. de & McHenry, M. E. (2007). Structure of Materials: an Introduction to Crystallography, Diffraction, and Symmetry. Cambridge University Press.

4. Grünbaum, B. (2003). Convex Polytopes. Berlin: Springer.

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