A method of spinTensor.

the rotation a spin tensor generates, the exponential of its axial vector, or the orientation a spin at a reference orientation leads to

Syntax

rot = W.exp()

The rotation of the spin.

ori = W.exp(ori0)

The orientation reached from ori0.

ori = W.exp(ori0, side='right')

The spin applied on the crystal side.

Description

A spin in a crystal frame acts on the right of the orientation, ori0 * exp(W), one in the specimen frame on the left, exp(W) * ori0, unless side says otherwise.

Input

W spinTensor

Keywords

keyword default description
ref None orientation, the reference the spin starts at, ori0 above
side None ‘left’ or ‘right’, the side the spin acts on; by default from the frame of W

Output

rot rotation, or orientation with a reference

See also

spinTensorOf, SO3TangentVector, doEulerStep

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/spinTensor.exp_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.