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Research Article Open access CC BY 4.0

A Short Review of Crystallographic Point Group T: Orbits and Stabilizers for a Regular Tetrahedron

Harun Akkus

Physical Science International Journal · pp. 1–7 · Published 26 Oct 2015

10.9734/PSIJ/2015/20331

Abstract

The clear definitions of symmetry operations (or elements) of the crystallographic point group T (tetrahedral group) were clearly pictured. For each element of the group, the permutation (P4) counterparts and the matrix representations were obtained. The orbits and stabilizers for vertices, edges, and faces of a regular tetrahedron under the action of T and, by this way, some subgroups of T were found.  

Crystallographic point group orbit tetrahedral symmetry stabilizer

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