Bilbao Crystallographic Server arrow SPGENPOS

General positions of the Spin Point Groups

SPGENPOS: get the General Positions of the Spin Point Groups
SPGENPOS provides the list of symmetry operations {UR} of a chosen spin point group (SpPG). First, the user must select a parent point group (point group of the R operations in the orbital space) and the type of point group: collinear, coplanar, non-coplanar or a SpPG that results as the direct product of one of the previous groups with a group that contains the identity and the time-reversal (TR) symmetry.
More details are given in the help.
Reference. For more information about this program see the following article:
Luis Elcoro, Jesus Etxebarria, J. Manuel Perez-Mato, Emre S. Tasci, "Spin point group symmetry and classification of non-relativistic spin splitting in non-collinear magnetic structures: Identification of high-order spin splitting types (l=5,7, and 9)" arXiv e-prints, arXiv:2606.19254
If you are using this program in the preparation of an article, please cite the above reference.

Choose a parent point group and click on one of the three buttons

1121324m52/m62227mm28mmm
94104114/m12422134mm1442m154/mmm163
1731832193m203m216226236/m24622
256mm266m2276/mmm282329m3304323143m32m3m

k-Subgroupsmag
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