orientation.matchLattice edit page

find lattice alignments for arbitrary misorientations

Description

Given a misorientation mori find all face normals n1, n2 and crystal directions d1, d2, such that mori * n1 = n2 and mori * d1 = d2.

Syntax

matchLattice(mori)
[n1,n2,d1,d2] = matchLattice(mori)
[n1,n2,d1,d2] = matchLattice(mori,'threshold',1*degree)
[n1,n2,d1,d2] = matchLattice(mori,'maxIndex',3)

Input

mori misorientation

Output

uvw,hkl Miller
n1,n2,d1,d2 Miller

Example

revert sigma3 misorientation relationship

[n1,n2,d1,d2] = matchLattice(CSL(3,crystalSymmetry('432')))
n1 = Miller (432)
 size: 37 x 1
 
n2 = Miller (432)
 size: 37 x 1
 
d1 = Miller (432)
 size: 37 x 1
 
d2 = Miller (432)
 size: 37 x 1

revert back Bain misorientation ship

cs_alpha = crystalSymmetry('m-3m', [2.866 2.866 2.866], 'mineral', 'Ferrite');
cs_gamma = crystalSymmetry('m-3m', [3.66 3.66 3.66], 'mineral', 'Austenite');
mori = orientation.Bain(cs_alpha,cs_gamma)
[n_gamma,n_alpha,d_gamma,d_alpha] = matchLattice(mori)
mori = misorientation (Ferrite → Austenite)
 
 (011) || (001)   [100] || [100]
 
 
n_gamma = Miller (Ferrite)
 size: 13 x 1
  h  k  l
  0  1 -3
  0  1 -2
  0  1 -1
  0  2 -1
  0  3 -1
  0  1  0
  1  0  0
  0  0  1
  0  1  1
  0  2  1
  0  3  1
  0  1  2
  0  1  3
 
n_alpha = Miller (Austenite)
 size: 13 x 1
  h  k  l
  0  2 -1
  0  3 -1
  0  1  0
  0  3  1
  0  2  1
  0  1  1
  1  0  0
  0 -1  1
  0  0  1
  0  1  3
  0  1  2
  0 -1  3
  0 -1  2
 
d_gamma = Miller (Ferrite)
 size: 13 x 1
  u  v  w
  0  1 -3
  0  1 -1
  0  2 -1
  0  3 -1
  0  1  0
  1  0  0
  0  0  1
  0  1  1
  0  2  1
  0  3  1
  0  1  2
  0  1  3
  0  1 -2
 
d_alpha = Miller (Austenite)
 size: 13 x 1
  u  v  w
  0  2 -1
  0  1  0
  0  3  1
  0  2  1
  0  1  1
  1  0  0
  0 -1  1
  0  0  1
  0  1  3
  0  1  2
  0 -1  3
  0 -1  2
  0  3 -1

See also

round2Miller