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| Suppose each grain A, B, C, . . . has its orientation represented as a rotation A, B, C, . . . (which may be a matrix, a quaternion, a Rodriguez vector, or a set of Euler angles; see Chapter 3). Then the misorientation is a rotation specified in the reference frame of one of the grains by, for example, MAB£¨AB¸ñʽÊÇϱ꣩= A¨C1£¨-1¸ñʽÊǸºÒ»´Î·½£©B (this convention, and the alternate convention MAB£¨AB¸ñʽÊÇϱ꣩= BA¨C1£¨-1¸ñʽÊǸºÒ»´Î·½£©,are both widely used; either is acceptable so long as consistency is maintained). |
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