the symbol of a list of elements written in the given axes, ‘’ when it names no group

Syntax

s = identifyGroup(cs.sym.rot, axes=cs.sym.axes)

‘-3m1’ for a trigonal crystal.

s = identifyGroup(els)

In orthonormal axes x, y, z.

Description

The groups whose elements have the same angles and parities are tried in turn; the first whose closure in the axes is the list names it. A group in a setting no symbol spells takes the type its angles say.

Input

els orthogonalTransform, the elements of the group

Keywords

keyword default description
axes None the crystal axes a, b, c as a vector3d or a 3 x 3 array, rows, by default the orthonormal ones; the secondary symbols depend on them, ‘-3m1’ and ‘-31m’ differing by the place of a

Output

s str, the Hermann-Mauguin symbol

See also

symmetry, findPointGroup

source

Citing this page. This page is part of the documentation of MTEX, a free and open source MATLAB toolbox for analyzing and modeling crystallographic textures. It was written by The MTEX Developers and is published at https://mtex-toolbox.github.io/identifyGroup_py.html. If you use MTEX, or reuse text or figures from this page, in your research, please cite

F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63

BibTeX 
@article{bachmann2010mtex,
  author  = {F. Bachmann and R. Hielscher and H. Schaeben},
  title   = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
  journal = {Solid State Phenomena},
  volume  = {160},
  pages   = {63-68},
  year    = {2010},
  doi     = {10.4028/www.scientific.net/SSP.160.63},
  url     = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}

Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.