Common Region between Euler Subspace and Rodrigues Fundamental Zone for a Cubic Crystal and Orthotropy Sample Symmetry

T. Karthikeyan, S. Saroja, M. Vijayalakshmi · Materials science forum · 2011

Due to crystal and sample symmetry, texture data can be presented uniquely in a smaller domain of Euler box or Rodrigues space. As these sub-domains are obtained by different criteria, a one-to-one relation does not always exist for conversion between Euler and Rodrigues coordinates. This work presents a methodology for finding the common region between the Euler sub-space and Rodrigues fundamental zone for the case of cubic crystal and orthotropy sample symmetry, and its size is found to be 0.0864068.

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