the Kearns factor, the mean squared alignment of a crystal direction with the specimen direction N; MATLAB’s calcKearnsFactor

Syntax

k = calcKearnsFactor(odf, h, N)

Of the crystal direction h with N.

k = calcKearnsFactor(odf, h)

With the z direction.

k = calcKearnsFactor(odf)

Of (0001) with the z direction.

k = calcKearnsFactor(pdf, N)

Of a pole figure.

Description

The integral of the pole figure of h against (r . N)^2 over the sphere, normalised so that a uniform texture gives 1/3. With an ODF the two directions are told apart by their class, the Miller one the crystal direction, so MATLAB’s order calcKearnsFactor(odf, N, h) gives the same.

Input

f SO3Fun, an ODF, or S2Fun, a pole figure
h Miller, the crystal direction (with an ODF), (0001) when left out; with a pole figure the place of N
N vector3d, the specimen direction, z when left out

Output

k float

See also

radon, calcLankford

Signature

calcKearnsFactor(f, h=None, N=None)

MATLAB’s calcKearnsFactor

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/calcKearnsFactor_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.