A method of orientation.

the orientations of the rotations by omega about the axis v; MATLAB’s orientation.byAxisAngle

Syntax

ori = orientation.byAxisAngle(v, omega, cs, ss)

An orientation.

mori = orientation.byAxisAngle(h, omega)

A misorientation about the crystal direction h.

mori = orientation.byAxisAngle(h, omega, antipodal=True)

With grain exchange.

Description

About a crystal direction h with no frames named it is the rotation of that crystal frame into itself, a misorientation; the frames named otherwise, the crystal frame first.

Input

v vector3d or Miller, the rotational axis
omega the rotational angle, broadcast against v
frames the crystal frame, then the specimen frame or a second crystal frame

Keywords

keyword default description
antipodal False mark a misorientation with grain exchange, mori == inv(mori)

Output

ori orientation

See also

orientation.byEuler, orientation.byMatrix, orientation.map, rotation.byAxisAngle

MATLAB’s orientation.byAxisAngle

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/orientation.byAxisAngle_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.