measured pole figure intensities with their crystal and specimen directions

Syntax

pf = PoleFigure(h, r, I)
pf = PoleFigure([h1, h23], [r1, r2], [I1, I2])
pf = PoleFigure(h, r, I, cs, ss, superposition=c, complete=True)

Description

Each pole figure records intensities for one crystal direction, or for several superposed reflections, at a set of specimen directions. Store several pole figures as parallel lists of crystal directions, specimen directions and intensity arrays. An intensity array must have one value per specimen direction; all pole figures share their crystal and specimen frames.

By default specimen directions are antipodal axes because diffraction does not distinguish r and -r. Use complete=True for directional measurements that do distinguish them. Index by a pole-figure number to select a reflection, or use a measurement mask to filter its measured directions. Angles and corrections use radians unless stated otherwise.

Input

`h`	Miller crystal direction or directions contributing to one pole figure; a list supplies one direction set per pole figure
`r`	vector3d specimen directions, or a list of direction sets
`intensities`	numeric intensity array, or a list with one array per pole figure
`frames`	optional crystalFrame and specimenFrame overriding the direction frames

Keywords

keyword	default	description
`superposition`	`None`	coefficients for superposed crystal directions, or one coefficient array per pole figure; default equal coefficients summing to one within each figure
`complete`	`False`	keep specimen directions oriented rather than antipodal; default False

Output

`pf`	PoleFigure data set

Properties

`allH`	list of Miller direction sets, one per pole figure
`allR`	list of specimen direction sets
`allI`	list of intensity arrays matching allR
`c`	superposition coefficients for each entry of allH
`CS, SS`	crystal and specimen reference frames
`numPF`	number of pole figures
`antipodal`	whether specimen directions identify r with -r

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/PoleFigure.PoleFigure_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.

PoleFigure.PoleFigure