Disorientations and coincidence rotations for cubic lattices

As a result of the cubic symmetry operations there are up to 1152 rotations describing the same relative orientation of two cubic lattices. The relation between these equivalent rotations is made transparent and it is shown how the usual definition of the disorientation has to be modified so that, in each case, the definition picks out a unique rotation among all the equivalent ones. A convenient method is described for determining all the classes of rotation that lead to coincidence-site lattices of a given density and for finding the number of rotations in each class.