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Discussion Of The Representation Of Intercrystalline Misorientation In Cubic Materials, Brent L. Adams, Hans Grimmer, Junwu Zhao

Faculty Publications

BLA and JZ acknowledge the support of the Office of Basic Energy Science of the US Department of Energy under grant No. DE-FG02-88ER45355. Help from Stuart Wright with the figures is gratefully acknowledged. Salient features of various parameterizations of cubic-cubic misorientation are discussed. It is proposed that the quaternion representation of rotations, as a pair of antipodal points on the surface of a four-dimensional sphere, encompasses the most desirable properties of other proposed representations, viz rectilinearity, a closed form for the composition of successive rotations, and an equivalence between the Euclidean measure on its parameter space and the invariant measure …