pole figure sections: the pole figure of h1, split by the twist of h2 about it

Syntax

pfSections(cs, ss, h1=..., h2=..., sections=6, omega=values)

sigmaSections(cs, ss, sections=6, sigma=values)

With h1 = c*, h2 = a.

Input

frameA crystal reference frame
frameB specimen reference frame; None uses the default
h1 first crystal direction; default reciprocal c axis
h2 second crystal direction, defining twist about h1; default a axis; must not be parallel to h1
sections section count when explicit twist angles are omitted; default 6
values explicit twist angles in radians
tol angular assignment tolerance in radians; default 5*degree
maxOmega maximum twist angle in radians; None uses the symmetry-dependent period
kwargs twist angles may also be supplied as omega=values

Members

h1 the crystal direction whose pole figure every section shows, a unit vector
h2 the part of the second crystal direction perpendicular to h1, whose twist about h1 splits the sections
omega the twist angles of the sections
orientationsAt the orientations at points vs of the chart of section k: h1 on the point, h2 on the twisted reference field there
referenceField the field the twist is measured against, at directions of the specimen frame
sectionCharts the chart section k is drawn on, the conventional sector of the specimen frame, the upper hemisphere when h1 has a symmetric equivalent opposite it
sectionData where the symmetric equivalents of orientations fall: the direction of ori * h1, the section of the twist of ori * h2 and the index of the orientation
sectionField the reference field turned into the section, at an equispaced grid of its region
sectionLabel the title of section k, the twist angle in degrees
twisted the field turned about the direction by the angle of the section, where ori * h2 has to point for the orientation to belong there

MATLAB’s pfSections_index

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/pfSections_index_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.