ABSTRACT
As discussed in Section 2.3.3, there are a number of crystallographically related solutions for an orientation or misorientation, depending on the crystal system. These crystallographically related solutions are generated by premultiplying the orientation or misorientation matrix M by a symmetry operator Ti:
M′ = TiM (II.1)
where the value of i depends on the symmetry of the crystal system. The 24 matrices Ti for cubic symmetry are
The 12 symmetry operation matrices for hexagonal symmetry are (Hagege et al., 1980)
The 4 symmetry operation matrices for orthorhombic symmetry are
