the lattice planes and directions of low indices an orientation or a misorientation aligns

Syntax

hkl, uvw = round2Miller(ori)

The plane normal along z and the direction along x.

n1, n2, d1, d2 = round2Miller(mori)

The parallel planes and directions of two crystals.

n1, n2, d1, d2 = round2Miller(mori, penalty=0.01)

Smaller indices preferred more.

n1, n2, d1, d2 = round2Miller(mori, maxIndex=6)

Indices up to 6.

n1, n2, d1, d2 = round2Miller(mori, nextFit=2)

The second best fit.

Description

For an orientation, the plane (hkl) along the specimen z and the direction [uvw] along the specimen x, each rounded on its own to the nearest low indices, as MATLAB’s; the two need not be perpendicular. penalty and nextFit do not apply.

For a misorientation, the planes n1, n2 and the directions d1, d2, d1 in n1, with mori * n1 = n2 and mori * d1 = d2 as nearly as indices up to maxIndex allow. Each candidate scores its misfit angle plus penalty times the size of its indices, and the lowest score wins. The result displays as a table of the parallel planes and directions with the angle of the relation to the misorientation; a list of misorientations gives lists.

Input

`ori`	orientation, crystal to specimen
`mori`	orientation, a misorientation between two crystals

Keywords

keyword	default	description
`penalty`	`0.002`	the weight of the size of the indices against the misfit angle
`maxIndex`	`None`	the largest index, 4 for a misorientation and 12 for an orientation by default
`nextFit`	`1`	which fit to return, 1 the best

Output

`hkl, uvw`	Miller, the plane normal and the direction
`n1, n2, d1, d2`	Miller, the parallel planes and directions

Used on

OrientationStandard, TwinningBoundaries, Twinning

MATLAB’s orientation.round2Miller

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.round2Miller_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.

orientation.round2Miller