Study on Classification of Image Group

Un-Son Jong, Song Won Kim, Hye-Gyong Jang, Myong-Chol Ri, Yong Kim, Song-Il Ri

Abstract: Image of the irrep (irreducible representation) of the space group has the important significance in the study of the spontaneous symmetry breaking arising in the crystal. In this paper we defined the characteristic quantity of I-Group. And using it we established the procedure for finding the equivalent I-Group. We classified the irreps of the star channel group of the wave vector onto 142 image groups.

Keywords: representation, spacegroup, symmetry breaking, image