I was told that it is possible to calculate the volume fraction of twins from the pole figure data. I'm struggling with fixing an orientation to 'volume' function in MTEX. I have (0002) pole figures with noticeable rotation of basal planes towards compression direction which are associated with tensile twinning in hexagonal structure (Mg in my case). My question is: volume of which orientation (I prefer to operate in rotation by.AxisAngle) should I calculate to obtain a volume fraction of twins in deformed material? At this moment I don't know that I'm wrong with MTEX code or interpretation of stereographic projection.

Example code:

%uploading pole figure data

odf=calcODF(pf)

rot=rotation.byAxisAngle(yvector,70*degree)

ori=orientation(rot,CS)

volume(odf,ori,3)

The angles which i tried to calculate volume were 40° (angle between 0002 and 10-12) and 86° (rotation of basal planes associated with twinning). In both cases results seems to be wrong, for example ~30% of twins in undeformed material in which twins are not seen in microstructure.

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