the distribution of the misorientation angles: a histogram of a list of misorientations, a curve of a misorientation distribution function or of two random phases

Syntax

plotAngleDistribution(gB.misorientation)

Histogram of boundary misorientations.

plotAngleDistribution(mori, resolution=2*degree)

Narrower bins.

plotAngleDistribution(mdf)

Angle distribution of an MDF.

plotAngleDistribution(cs1, cs2)

Uncorrelated angle distribution of two phases.

plotAngleDistribution(cs1, cs1, displayName='uncorrelated')

With a legend entry.

Description

A list of misorientations is drawn as bars, the percentage of the misorientations in each bin. The bins run from 0 to the largest misorientation angle the two symmetries allow, or to the largest angle present when it is below half of that.

A misorientation distribution function, or the distribution of uncorrelated orientations of two frames, is drawn as a curve in multiples of the random distribution. Drawn into held axes holding a histogram, a list takes the same bins and a curve is scaled to percent of a bin, so that the two compare.

Each new bar set or curve takes the next of MTEX’s colours. Other keywords (color, lineWidth, …) go to matplotlib’s bar or plot.

Input

`mori`	misorientation, a list of misorientations
`mdf`	SO3Fun, a misorientation distribution function
`cs1, cs2`	crystalFrame, the two phases

Keywords

keyword	default	description
`figSize`	`None`	the size of a new figure, ‘small’, ‘normal’, ‘large’, …
`resolution`	`5*degree`	the width of the bins, in radians
`numBins`	`None`	the number of bin edges instead of the resolution
`percent`	`False`	draw a curve in percent instead of multiples of the random distribution
`displayName`	`None`	the name of the bars or the curve in a legend

Output

`h`	the bar container of the histogram, or the line of the curve

Used on

AngleDistributionFunction, MisorientationDistributionFunction, MisorientationTheory

MATLAB’s plotAngleDistribution

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/plotAngleDistribution_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.

plotAngleDistribution