the lattice an EBSD map is measured on: the basis of the two shortest translations, the cell shape ‘square’ or ‘hex’, the plane and the integer index of every position, inferred from the positions or fitted to a known basis

Syntax

l = lattice(pos)
l = lattice(pos, basis=(A, 'hex'))

Input

pos vector3d positions of the map measurements
basis optional pair (A, shape), with a 2-by-2 basis and ‘square’ or ‘hex’ cell shape
plane optional mapPlane; None fits the plane from the positions

Members

dxy the representative spacing: the mean length of the two basis vectors
moved the same lattice after the rigid motion x -> R x + v, in the plane the moved positions lie in: the index kept, the basis and the origin turned in the plane
position the physical position of indices of shape (…, 2), exactly as the ideal lattice places them
stencil the index offsets of the neighbours of a cell, four for a square lattice and six for a hexagonal one
subset the same lattice on a subset of its sites, the index counted from the least one kept
unitCell the corners of the cell around a site, relative to it, anticlockwise, shape (k, 3)
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/lattice_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.