crystalFrame.crystalFrame edit page

the reference frame glued to the lattice basis of a phase

The basis are the crystal axes a, b, c in canonical Euclidean coordinates, with their lengths - the X||a*, Z||c alignment choice belongs to this frame, not to the point group. A crystal frame can be defined directly by the lattice parameters and alignment options, without any symmetry involved.

Syntax

cF = crystalFrame(axes)
cF = crystalFrame(axes,'name','Forsterite')
% by lattice parameters and alignment, the default is X||a*, Z||c
cF = crystalFrame([1 2 3],[70 80 120]*degree,'Z||a*')
cF = crystalFrame([3 3 5],'X||a')

Input

axes 1x3 vector3d, the crystal axes a, b, c
abc length of the crystal axes
abg angles between the crystal axes alpha, beta, gamma

Options

X||a, X||a*, Z||c, ... alignment of the Cartesian axes
EDAX vendor alignment convention of EDAX / TSL / OIM
pointId point group id, for the lattice consistency checks

Dependent Class Properties

abc length of the crystal axes
abg angles between the crystal axes
alpha angle between b and c
beta angle between c and a
gamma angle between a and b

See also

referenceFrame specimenFrame crystalSymmetry

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/crystalFrame.crystalFrame.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.