crystalSymmetry.crystalSymmetry edit page

the symmetry of a crystal together with its lattice

Syntax

crystalSymmetry('cubic')

By the name of the lattice.

crystalSymmetry('O')

By the Schoenflies symbol.

crystalSymmetry(cF)

The trivial group carrying the crystalFrame cF.

crystalSymmetry('LaueId',9)

By the id of the Laue group.

crystalSymmetry('SpaceId',153)

By the number of the space group.

crystalSymmetry('2/m',[8.6 13 7.2],[90 116, 90]*degree,'mineral','orthoclase')

With axes lengths, axes angles and the mineral name.

rot = rotation.map(vector3d(1,1,1),vector3d.Z,vector3d(0,-1,1),vector3d.X)
crystalSymmetry('432','rotAxes',rot)

With symmetry axes that differ from the default.

Input

name Schoenflies or International notation of the Laue group
axes [a,b,c] - length of the crystallographic axes
angle [alpha,beta,gamma] - angle between the axes

Options

X||a*, Z||c default alignment of the cartesian coordinate system to the crystal coordinate system
X||a, Z||c* other alignments
X||b*, Z||c
X||b, Z||c*
EDAX the alignment convention used by EDAX / TSL / OIM, i.e. X||a for triclinic, trigonal and hexagonal lattices and the MTEX default otherwise

Class Properties

id point group id
pointGroup international notation of the point group
lattice lattice type
isLaue is Laue group?
isProper is enantiomorphic group?
mineral mineral name
color color used in EBSD phase plot
alpha, beta, gamma angles between the a, b and c axis
aAxis, bAxis, cAxis direct crystal axes Miller
aAxisRec, bAxisRec, cAxisRec reciprocal crystal axes Miller
axes vector3d

See also

CrystalSymmetries CrystalShapes CrystalReferenceSystem CrystalOperations

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/crystalSymmetry.crystalSymmetry.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.