centerSpecimen

(method of ODF)

rotatates an odf with specimen symmetry into its symmetry axes

centerSpecimen(odf,center) trys to find the normal vectors of orthorhombic symmetry for the x mirror and y mirror plane and calculates an rotation needed to rotate the odf back into these mirror planes. the routine starts with an lookaround grid for a given center (default xvector) to find a starting value for newton iteration.

Syntax

[odf,rot,v1,v2] = centerSpecimen(odf,v0,'param1',val1,'param2',val2)

Input

odf

ODF

v0

vector3d initial gues for a symmetry axis (default xvector)

param,val Parameters and values that control centerSpecimen
Parameter Description
'SO3Grid'

a SO3Grid the ODF is evaluatete on

'delta'

specifies the opening angle for the initial search grid around input center

'resolution'

specifies the resolution for the initial search grid

'silent'

dont verbose number of initial axes and the newton iteration

'fourier'

use fourier coefficents as objective function

Output

odf

rotated ODF

rot

rotation such that rotate(odf_out,r) = odf_in

v1,v2

normal vector of the two fold symmetry axes

Example

%Starting with an synthetic odf with orthorhombic symmetry
CS = crystalSymmetry('cubic')
SS = specimenSymmetry('orthorhombic')
ori = [orientation.byEuler(135*degree,45*degree,120*degree,CS,SS) ...
orientation.byEuler( 60*degree, 54.73*degree, 45*degree,CS,SS) ...
orientation.byEuler(70*degree,90*degree,45*degree,CS,SS)...
orientation.byEuler(0*degree,0*degree,0*degree,CS,SS)];
 
CS = crystalSymmetry  
 
  symmetry: m-3m   
  a, b, c : 1, 1, 1
 
 
SS = orthorhombic specimenSymmetry  
 
odf = unimodalODF(SS*ori);
%we define a rotational displacement
r2 = rotation.byEuler( 6*degree,4*degree,0*degree)
odf = rotate(odf,r2);
h = [Miller(0,0,1,CS),Miller(0,1,1,CS),Miller(1,1,1,CS)];
plotPDF(odf,h,'antipodal','complete');
 
r2 = rotation  
  size: 1 x 1
 
  Bunge Euler angles in degree
  phi1  Phi phi2 Inv.
     6    4    0    0
 
Warning: Rotating an ODF with specimen symmetry will remove the
specimen symmetry