a direction of a crystal frame as its rounded indices, the direct basis first and the reciprocal one if that does not round, in the brackets of one direction; None if neither

Syntax

millerLabel(Miller(1, 1, 1, cs, 'uvw'), cs)

‘[111]’.

millerLabel(Miller(1, -1, 1, cs, 'uvw'), cs, utf8=False)

‘[1-11]’, the minus written out.

millerLabel(vector3d(1, np.pi/10, 0), cs)

None: no small indices.

Description

The direction is rounded to small indices in the direct basis (uvw, UVTW for trigonal and hexagonal frames) and then in the reciprocal one (hkl, hkil); the first that reaches it within 1e-4 radians is written, in the brackets of a direction.

Input

v vector3d, the direction
fr crystalFrame

Keywords

keyword default description
utf8 None write negative indices with an overline; by default the preference UTF8Output

Output

s str or None

See also

Miller, round

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/millerLabel_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.