A method of orientation.

the rotational axis of a misorientation, an orientation or the misorientation between two orientations

Syntax

h = axis(mori)

In the crystal frame of mori.

h = axis(mori, symmetry=False)

Of the rotation as it is stored.

h = axis(mori, 'max')

Of the equivalent that turns the most.

h = axis(mori, csHex)

Expressed in csHex, one of the two frames of mori.

v = axis(ori1, ori2)

In the specimen frame, also of two phases.

Description

The axis is that of the representative in the fundamental region, the disorientation, so it does not depend on the representative stored. Of a misorientation it is a crystal direction in its first crystal frame, or in the other one named; of an orientation a specimen direction. Of two orientations it is the axis of the misorientation between them, expressed in the specimen frame. The axis carries only the symmetry both frames share, and with grain exchange it is an axis without sign.

Input

mori orientation, a misorientation or an orientation
other orientation, the second orientation, in the specimen frame; a frame of mori to express the axis in; or ‘max’

Keywords

keyword default description
symmetry True reduce by the symmetry first; False takes the axis of the rotation as stored, MATLAB’s ‘noSymmetry’
antipodal None set whether the axis is read as an axis without sign; by default as the symmetry says

Output

h Miller, the axis in a crystal frame, or vector3d in the specimen frame

See also

orientation.angle, orientation.log, MisorientationTheory

MATLAB’s orientation.axis

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.axis_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.