orientation.angle edit page

calculates rotational angle between orientations

Description

For misorientations with grain exchange symmetry, i.e. o1.antipodal or o2.antipodal is true, the two argument syntax returns the smaller of the distances to o2 and to inv(o2). There is no 'antipodal' option, the flag is taken from the arguments. The single argument syntax is not affected, as angle(o) == angle(inv(o)) anyway.

Syntax

omega = angle(o)
omega = angle(o,'noSymmetry') % ignore symmetry equivalents
omega = angle(o1,o2)

Input

o1, o2 orientation

Output

o1 × o2 angle (double)

Options

noSymmetry do ignore symmetry
noSym1, noSym2 do ignore only left or right symmetry
max return the maximum rotational angle from all symmetrically equivalent

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/orientation.angle.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.