the ranges (phi1, Phi, phi2) of the Bunge Euler angles covering the fundamental region of two frames, the specimen frame the default second

Syntax

maxPhi1, maxPhi, maxPhi2 = eulerRegion(cs)

With the default specimen frame.

maxPhi1, maxPhi, maxPhi2 = eulerRegion(cs, ss) # with a specimen symmetry, or a second crystal

Description

The rotations about z of the two groups divide phi1 and phi2, the two-folds perpendicular to z halve Phi, and one of the reflections they make on phi1 or phi2 halves that angle.

Input

frA crystalFrame
frB the second frame, by default the default specimen frame

Output

maxPhi1, maxPhi, maxPhi2 the upper bounds of the three Bunge Euler angles in radians

See also

fundamentalRegionEuler, fundamentalRegion, projectIntoEulerRegion

Signature

eulerRegion(frA, frB=None)
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/eulerRegion_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.