Title of article
Symmetry of the Pyritohedron and Lattices
Author/Authors
koca, nazife o. sultan qaboos university - college of science - department of physics, oman , al-mukhaini, aida y. sultan qaboos university - college of science - department of physics, Oman , koca, mehmet sultan qaboos university - college of science - department of physics, Oman , al-qanobi, amal j. sultan qaboos university - college of science - department of physics, Oman
From page
139
To page
149
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
Pseudoicosahedron , Pyritohedron , Lattice , Coxeter groups and Quaternions
Journal title
Sultan Qaboos University Journal for Science
Journal title
Sultan Qaboos University Journal for Science
Record number
2550180
Link To Document