axisAngleSections edit page

sections of constant rotational angle for ODF and orientation plotting

Every section is the axis sector belonging to one misorientation angle, so an orientation is placed at its rotational axis. Since that sector shrinks with the angle, the axes are rescaled by default to keep equal orientation volumes comparable.

Syntax

oS = axisAngleSections(cs1,cs2)
oS = axisAngleSections(cs1,cs2,'sections',5)
oS = axisAngleSections(cs1,cs2,'axisAngle',(10:20:180)*degree)

Input

cs1, cs2 crystalSymmetry, specimenSymmetry

Options

sections number of sections
axisAngle explicit section values
volumeScaling rescale the axes by the volume of the section
antipodal grain exchange symmetry

Class Properties

angles the rotational angle of each section
axesSectors the axis sector of each section
jointCS the joint proper symmetry of cs1 and cs2
oR orientationRegion of cs1 and cs2
volumeScaling rescale the axes by the volume of the section

Example

cs = crystalSymmetry('432');
oS = axisAngleSections(cs,cs)
oS = 
  axisAngleSections with properties:

           angles: [0.0873 0.2618 0.4363 0.6109 0.7854 0.9599]
      axesSectors: {1×6 cell}
          jointCS: [1×1 crystalSymmetry]
               oR: [1×1 orientationRegion]
    volumeScaling: 1
              CS1: [1×1 crystalSymmetry]
              CS2: [1×1 crystalSymmetry]
              tol: 0.0831
         plotGrid: []
         gridSize: []
               CS: [1×1 crystalSymmetry]
               SS: [1×1 crystalSymmetry]

See also

ODFSections sigmaSections SO3Fun.plotSection

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/axisAngleSections.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.