Misorientation Distribution Function edit page

TODO: Please help to extend this section

Let us consider the uncorrelated misorientation distribution function corresponding to our model ODF.

mtexdata titanium

odf = calcDensity(ebsd.orientations)
ebsd = EBSD (y↑→x)
 
 Phase  Orientations           Mineral         Color  Symmetry  Crystal reference frame
     0   8100 (100%)  Titanium (Alpha)  LightSkyBlue       622       X||a, Y||b*, Z||c*
 
 Properties: ci, grainid, iq, sem_signal
 Scan unit : um
 X x Y x Z : [0, 996] x [0, 998] x [0, 0]
 Normal vector: (0,0,1)
 
 
odf = SO3FunHarmonic (Titanium (Alpha) → y↑→x)
  bandwidth: 25
  weight: 1
% the uncorrelated misorientation density function
mdf = calcMDF(odf)
mdf = SO3FunHarmonic (Titanium (Alpha) → Titanium (Alpha))
  antipodal: true
  bandwidth: 25
  weight: 1
plotSection(mdf,'axisAngle')

Axis / Angle Distribution

Then we can plot the distribution of the rotation axes of this misorientation ODF

plotAxisDistribution(mdf)

and the distribution of the misorientation angles and compare them to a uniform ODF

close all
plotAngleDistribution(mdf)
hold on
plotAngleDistribution(ebsd.CS,ebsd.CS)
hold off
legend('model ODF','uniform ODF')