Abstract
AbstractFor the analysis and description of textures the orientation distribution function f(g) is used. Orientations g as points in “orientation space” are usually characterized by the Euler angles φ1, Θ, φ2. The symmetries of the function f(g) result from the symmetries of the crystal and those of the specimen.The symmetries in orientation space induced by both the point group symmetry of the crystal and of the specimen are analysed. Any combination of crystal and specimen symmetries yield a group of linear transformations in orientation space; this group corresponds to one of the 230 space groups.If the point group of the crystal or the point group of the specimen belong to the cubic system the resulting group of linear transformations does not contain all induced symmetries.Tables with the induced space groups are given for all combinations of crystal and specimen symmetries.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.