日本金属学会誌
Online ISSN : 1880-6880
Print ISSN : 0021-4876
ISSN-L : 0021-4876
論文
対数角:回転行列の対数が与える結晶方位に関する特性角度
林 邦夫長田 礎黒須 悠基宮嶋 陽司尾中 晋
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2015 年 79 巻 1 号 p. 9-15

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  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.

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