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
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
