article
Determination of the orientation distribution function from pole figures in arbitrarily defined cells
physica status solidi (b) · 1986 · Vol. 134(2) · pp. 477–483
Krzysztof Pawlik✉(Institute of Metallurgy and Materials Science)
Abstract
Abstract Practical problems of the reproduction of the orientation distribution function (ODF) from pole figures (PFs) using discrete methods (with special attention paid to Imhof's method,) are analysed. A new variant of the iteration method for the determination of the ODF in arbitrarily defined size of cells in the orientation space, is suggested. The special case, in which the centro‐symmetrical equivalency of the PFs is induced by the elements of proper rotations in crystal symmetry, is considered.
Crystallization and Solubility StudiesX-ray Diffraction in CrystallographyMaterial Properties and Failure MechanismsOrientation (vector space)Symmetry (geometry)Distribution (mathematics)Distribution functionFunction (biology)Pole figureSpace (punctuation)Mathematical analysisGeometryMathematics
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