A method of fibre.

the angle by which ori * h misses r, the least over both orbits, from the chord of the closest pair; MATLAB’s fibre.angle

Syntax

omega = angle(f, ori)

The angle of orientations to the fibre.

omega = angle(f, ori, symmetry=False)

Ignore the symmetric equivalents.

omega, oriF = angle(f, ori, return_nearest=True)

And the orientations on the fibre.

omega = angle(f1, f2)

The angle between two fibres.

Description

The angle of an orientation to the fibre h || r is the angle between ori * h and r, the least over the crystal symmetric equivalents of h and the specimen symmetric ones of r. With another fibre it is the largest angle of 1000 of its orientations to this one. The fibre is taken as the full fibre, its ends o1 and o2 do not count.

Input

f fibre, a single one
ori orientation, or a fibre

Keywords

keyword default description
symmetry True take the least over the symmetric equivalents; False compares h and r only
return_nearest False also return oriF, MATLAB’s second output; not with a fibre

Output

omega the angles, of the shape of ori
oriF the orientations on the fibre nearest ori, which turn the closest image of h onto r (return_nearest)

See also

orientation.angle, fibre.isclose

MATLAB’s fibre.angle

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/fibre.angle_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.