A method of EBSD.

uncorrelated misorientations: those of random pairs of measurements far enough apart that they say nothing about one another; MATLAB’s calcMisorientation of a map

Syntax

mori = calcMisorientation(ebsd['Forsterite'], sampleSize=1000)

Within one phase.

mori = calcMisorientation(ebsd['Forsterite'], minDistance=100)

Pairs at least 100 apart.

mori = calcMisorientation(ebsd['Forsterite'], ebsd['Enstatite'])

Between two phases.

Description

This is the distribution an uncorrelated misorientation distribution is compared against. Both maps must hold one indexed phase. For orientations o1 of the first map and o2 of the second the misorientation is inv(o1) * o2, carrying the coordinates of the second crystal into those of the first. The pairs closer than minDistance are dropped from the sample, so fewer than sampleSize may come back. MATLAB’s second output, the pairs of orientations, is not returned.

Input

ebsd EBSD of one indexed phase
other EBSD of one indexed phase, by default the first map

Keywords

keyword default description
sampleSize 100000 the number of pairs drawn
minDistance None the least distance of a pair, in the scan unit; a hundredth of the diagonal of the first map by default
rng None the seed or the numpy Generator of the draw

Output

mori orientation from the crystal frame of other to that of ebsd

See also

calcMDF, grainBoundary.misorientation, MisorientationDistributionFunction

MATLAB’s EBSD.calcMisorientation

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/EBSD.calcMisorientation_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.