orientation.axis edit page

rotational axis of an misorientation or two orientations

Syntax

% define a cubic and hexagonal symmetries
csCube = crystalSymmetry('cubic')
csHex = crystalSymmetry('hexagonal')
% define two orientations
o1 = orientation.byEuler(0,0,0,csCube)
o2 = orientation.byEuler(10*degree,20*degree,30*degree,csHex)
% the misorientation axis with respect to the specimen coordinate
% system is computed by
a = axis(o1,o2)
% the misorientation axis with respect to csCube is computed by
a = axis(inv(o1)*o2,csCube)
% the misorientation axis with respect to csHex is computed by
a = axis(inv(o1)*o2,csHex)
% compute the misorientation axis ignoring symmetry
a = axis(inv(o1)*o2,'noSymmetry')

Input

mori,o1,o2 orientation

Output

a vector3d
m Miller

Options

noSymmetry ignore symmetry
max return the axis corresponding to the largest rotational angle

See also

orientation.angle

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.axis.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.