Rodrigues vectors are explored as a means of representing crystal orientation
distributions. Relationships between the Rodrigues vectors and several more
commonly utilized representations of rotations are presented. The restrictions which
cubic material symmetry imposes on the Rodrigues space are examined and
relationships for special equivalent configurations are developed. Common crystal
orientation distributions are presented as Rodrigues vectors and compared to the
more standard representations in terms of pole figures and Euler angles. Applications
of the Rodrigues space for illustrating misorientations between neighboring grains are also discussed.
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