find lattice alignements 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] = round2Miller(CSL(3,crystalSymmetry('432')))n1 = Miller (432)
h k l
1 1 1
n2 = Miller (432)
h k l
1 1 1
d1 = Miller (432)
u v w
0 1 -1
d2 = Miller (432)
u v w
-1 1 0% 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] = round2Miller(mori)mori = misorientation (Ferrite → Austenite)
(011) || (001) [100] || [100]
n_gamma = Miller (Ferrite)
h k l
0 1 1
n_alpha = Miller (Austenite)
h k l
0 0 1
d_gamma = Miller (Ferrite)
u v w
1 0 0
d_alpha = Miller (Austenite)
u v w
1 0 0