Kunio Hayashi1, Motoki Osada2, Yuki Kurosu1,∗, Yoji Miyajima1 and Susumu Onaka1
1Department of Materials Science and Engineering, Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology, Yokohama 226-8502
A rotation matrix R with respect to a reference frame is used to describe certain crystal orientation. The logarithm of R, ln R is a skew symmetric tensor with three independent elements of real numbers. The goniometer-stage model in the present study shows that the three independent elements of ln R are the characteristic angles of R representing the rotation angles around coordinate axes. Different from various kinds of the Euler angles, the characteristic angles called the log angles are uniquely determined for certain R. [doi:10.2320/jinstmet.J2014036]
logarithm of matrix, misorientation, microstructure, Euler angles, axis/angle pair
Please do not copy without permission.