the distribution of the misorientation axes, in the fundamental sector of the symmetry the two frames share

Syntax

plotAxisDistribution(mori)

Axes of misorientations, in crystal coordinates.

plotAxisDistribution(mori, contourf=True)

Their density, smoothed by 10 degrees.

plotAxisDistribution(ori1, ori2)

Axes between orientations, in specimen coordinates.

plotAxisDistribution(cs)

Random axis distribution.

plotAxisDistribution(cs1, cs2)

Uncorrelated axis distribution of two phases.

plotAxisDistribution(mdf)

Axis distribution of an MDF.

Description

A list of misorientations is drawn as its axes, one marker each; with a filled plot (contourf=True, smooth=True, pcolor=True) as the density of the axes, a kernel density estimate of halfwidth 10 degrees unless halfwidth says otherwise. An MDF or two frames give the axis distribution function, drawn in multiples of the random distribution. The axes are shown in the fundamental sector; other keywords go to the spherical plot (markerSize, colorRange, …).

Input

`mori`	misorientation, a list of misorientations
`ori1, ori2`	orientation, two lists of orientations of one length
`cs, cs1, cs2`	crystalFrame, the phases
`mdf`	SO3Fun, a misorientation distribution function

Keywords

keyword	default	description
`halfwidth`	`None`	the halfwidth of the kernel density estimate of the axes, in radians
`weights`	`None`	a weight per misorientation for the density estimate
`antipodal`	`False`	treat the axes as antipodal, as for misorientations between grains of one phase whose order does not matter

Output

`h`	the handle of the spherical plot

Used on

AxisDistributionFunction, MisorientationDistributionFunction, MisorientationTheory

MATLAB’s plotAxisDistribution

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/plotAxisDistribution_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.

plotAxisDistribution