Abstract
The pyritohedron consisting of twelve identical but non regular pentagonal faces and its dual pseudoicosahedron that possess the pyritohedral (Th) symmetry play an essential role in understanding the crystallographic structures with the pyritohedral symmetry. The pyritohedral symmetry takes a simpler form in terms of quaternionic representation. We discuss the 3D crystals with the pyritohedral symmetry which can be derived from the Coxeter-Dynkin diagram of D3.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol21iss2pp139-149
- Journal
- Sultan Qaboos University Journal for Science, 21(2), 139
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY-ND 4.0
Cite this article
APA 7
Koca, N. Ö., Al-Mukhaini, A. Y., Koca, M., & Al-Qanobi, A. J. H. (2016). Symmetry of the Pyritohedron and Lattices. Sultan Qaboos University Journal for Science, 21(2), 139. https://doi.org/10.24200/squjs.vol21iss2pp139-149
MLA 9
Koca, Nazife Özdeş, et al. "Symmetry of the Pyritohedron and Lattices." Sultan Qaboos University Journal for Science, vol. 21, no. 2, 2016, pp. 139. https://doi.org/10.24200/squjs.vol21iss2pp139-149.
Chicago (author–date)
Koca, Nazife Özdeş, Aida Y. Al-Mukhaini, Mehmet Koca, and Amal Juma Hamood Al-Qanobi. 2016. "Symmetry of the Pyritohedron and Lattices." Sultan Qaboos University Journal for Science 21 (2): 139. https://doi.org/10.24200/squjs.vol21iss2pp139-149.
Harvard
Koca, N. Ö., Al-Mukhaini, A. Y., Koca, M. and Al-Qanobi, A. J. H. (2016) 'Symmetry of the Pyritohedron and Lattices', Sultan Qaboos University Journal for Science, 21(2), pp. 139. doi:10.24200/squjs.vol21iss2pp139-149.
Vancouver
Koca NÖ, Al-Mukhaini AY, Koca M, Al-Qanobi AJH. Symmetry of the Pyritohedron and Lattices. Sultan Qaboos University Journal for Science. 2016;21(2):139. doi:10.24200/squjs.vol21iss2pp139-149
IEEE
N. Ö. Koca, A. Y. Al-Mukhaini, M. Koca, and A. J. H. Al-Qanobi, "Symmetry of the Pyritohedron and Lattices," Sultan Qaboos University Journal for Science, vol. 21, no. 2, pp. 139, 2016, doi: 10.24200/squjs.vol21iss2pp139-149.