sigmaSections edit page

sigma sections for ODF and orientation plotting

The MTEX default for plotting an ODF. Sigma sections are the pole figure of the c* axis, split up by sigma = phi1 - phi2. Unlike Euler angle sections they distort orientation space only mildly, so a component keeps its shape across the sections.

Syntax

oS = sigmaSections(cs1,cs2)
oS = sigmaSections(cs1,cs2,'sections',5)
oS = sigmaSections(cs1,cs2,'sigma',(0:15:90)*degree)

Input

cs1, cs2 crystalSymmetry, specimenSymmetry

Options

sections number of sections
sigma explicit section values

Class Properties

omega the sigma value of each section
h1, h2 the Miller the sections are built from
sR sphericalRegion each section is plotted on
referenceField S2VectorField sigma is measured against

Example

mtexdata dubna
odf = calcODF(pf,'silent');
plotSection(odf,sigmaSections(odf.CS,odf.SS))
pf = PoleFigure (y↓→x)
  crystal symmetry : Quartz (321, X||a*, Y||b, Z||c)
 
  h = (022̅1), r = 72 x 19 points
  h = (101̅0), r = 72 x 19 points
  h = (101̅1)(011̅1), r = 72 x 19 points
  h = (101̅2), r = 72 x 19 points
  h = (112̅0), r = 72 x 19 points
  h = (112̅1), r = 72 x 19 points
  h = (112̅2), r = 72 x 19 points

See also

ODFSections pfSections omegaSections 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/sigmaSections.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.