Materials Science Forum, Vol.495-497, 289-294, 2005
Visualization of patterns of preferred crystallographic orientation by omega-sections
Pole point plots are generalized to augmented pole point plots visualizing a second crystallographic direction subjected to a (random) orientation. Then w-sections of the space of crystallographic orientations generalizing both gamma- as well as Q-sections are introduced as augmented pole point plots ordered according to the orientation distance between the actual orientation mapping the crystallographic direction h on the specimen direction r and a reference orientation mapping both h on r and simultaneously another crystallographic direction h(1) on a user-defined specimen direction v. Since an orientation distance is always a rotation angle of some rotation, this rotation is specified as a rotation about r through w. It is examplified that w-sections may visualize orientation and pole probability density functions more instructively by application to both data simulated according to the Bingham quaternion or, equivalently, the von Mises-Fisher matrix distribution as well as to real data.
Keywords:orientation density function;orientation space;"omega-sections;omega-sections;pole-point plots;pole density plots;pole figures