Representation of misorientations in Rodrigues脙脙脙脙脙脙Frank space: application to the Bain, Kurdjumov脙脙脙脙脙脙Sachs, Nishiyama脙脙脙脙脙脙Wassermann and Pitsch orientation relationships in the
摘要
The three classical orientation relationships describing the 脦脦-to-脦脦 transformation, namely the Bain, Kurdjumov脦脦脦Sachs (K脦脦脦S) and Nishiyama脦脦脦Wassermann (N脦脦脦W), are represented in Rodrigues脦脦脦Frank (R脦脦脦F) space. Two alternative reference systems are used to highlight the differences between the three types of misorientation. Some observations obtained on the Gibeon meteorite are analyzed using the two classes of reference system to reveal features of the transformation under conditions of very slow cooling. It is shown that the Bain correspondence relations are never satisfied, while the measurements fall in the full range of direction parallel conditions extending from the K脦脦脦S to the N脦脦脦W. The crystallographic features of the Pitsch orientation relation are presented in R脦脦脦F space in Appendix A. The experimental observations conform to this type of transformation to a considerably lesser extent than to the classical K脦脦脦S and N脦脦脦W relations.