parents edit page

variants of an orientation relationship

Syntax

ori_parents = ori_child * inv(mori.parents)

Input

mori child to parent orientation relationship
ori_child child orientation

Output

ori_parents all possible parent orientation

Example

% parent symmetry
cs_fcc = crystalSymmetry('m-3m', [3.6599 3.6599 3.6599], 'mineral', 'Iron fcc');
% child symmetry
cs_bcc = crystalSymmetry('m-3m', [2.866 2.866 2.866], 'mineral', 'Iron bcc')
cs_bcc = crystalSymmetry
 
  mineral : Iron bcc     
  symmetry: m-3m         
  elements: 48           
  a, b, c : 2.9, 2.9, 2.9
% define a bcc child orientation
ori_bcc = orientation.goss(cs_bcc)
ori_bcc = orientation (Iron bcc → xyz)
 
  Bunge Euler angles in degree
  phi1  Phi phi2
     0   45    0
% define Nishiyama Wassermann fcc to bcc orientation relation ship
NW = orientation.NishiyamaWassermann (cs_fcc,cs_bcc)
NW = misorientation (Iron fcc → Iron bcc)
 
 (111) || (011)   [1-10] || [-100]
% compute a fcc parent orientation related to the bcc child orientation
ori_fcc = ori_bcc * NW
ori_fcc = orientation (Iron fcc → xyz)
 
  Bunge Euler angles in degree
  phi1     Phi    phi2
   180 54.7356      45
% compute all symmetrically possible parent orientations
ori_fcc = unique(ori_bcc.symmetrise * NW)
ori_fcc = orientation (Iron fcc → xyz)
  size: 12 x 1
 
  Bunge Euler angles in degree
     phi1     Phi    phi2
  83.0827 96.8675 359.584
  83.0827 83.1325 270.416
      180 54.7356      45
        0 144.736      45
        0 35.2644     225
      180 125.264     225
  166.361 45.8193 324.598
  346.361 45.8193 324.598
  13.6387 134.181 144.598
  193.639 134.181 144.598
  276.917 96.8675 90.4156
  276.917 83.1325 179.584
% same using the function parents
ori_fcc2 = ori_bcc * NW.parents
ori_fcc2 = orientation (Iron fcc → xyz)
  size: 1 x 12
 
  Bunge Euler angles in degree
     phi1     Phi    phi2
  166.361 45.8193 324.598
  276.917 83.1325 179.584
        0 144.736      45
      180 54.7356      45
  83.0827 83.1325 270.416
  83.0827 96.8675 359.584
  346.361 45.8193 324.598
  193.639 134.181 144.598
      180 125.264     225
      360 35.2644     225
  276.917 96.8675 90.4156
  13.6387 134.181 144.598

See also

orientation.variants