Orientation relationships, orientational variants and the embedding approach.

Autor: Arnold R; School of Mathematics and Statistics, Victoria University of Wellington, PO Box 600, Wellington, New Zealand., Jupp P; School of Mathematics and Statistics, University of St Andrews, North Haugh, St Andrews, Fife, KY16 9SS, United Kingdom., Schaeben H; Geophysics and Geoscience Informatics, TU Bergakademie Freiberg, Freiberg, Germany.
Jazyk: angličtina
Zdroj: Journal of applied crystallography [J Appl Crystallogr] 2023 May 12; Vol. 56 (Pt 3), pp. 725-736. Date of Electronic Publication: 2023 May 12 (Print Publication: 2023).
DOI: 10.1107/S1600576723003187
Abstrakt: For phase transformations within polycrystalline materials, the connection between the crystal orientations of parent grains and those of child grains is usually expressed in terms of (theoretical or measured) orientation relationships. This paper introduces a new approach to various problems associated with orientation relationships: (i) estimation, (ii) whether or not a single orientation relationship fits the data adequately, (iii) whether or not a set of children comes from a common parent, and (iv) reconstruction of a parent or of grain boundaries. The approach is an extension to the crystallographic context of the well established embedding approach to directional statistics. It is inherently statistical, producing precise probabilistic statements. Explicit coordinate systems are not used and arbitrary thresholds are avoided.
(© Richard Arnold et al. 2023.)
Databáze: MEDLINE
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