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A non‐linear positive method to reconstruct the parent textures from the inherited textures in phase transformation
Author(s) -
Humbert M.,
Gey N.,
Esling C.
Publication year - 2000
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889899014879
Subject(s) - orientation (vector space) , phase (matter) , quadratic equation , transformation (genetics) , lattice (music) , symmetry (geometry) , distribution function , materials science , physics , condensed matter physics , crystallography , mathematics , geometry , chemistry , thermodynamics , quantum mechanics , biochemistry , acoustics , gene
The orientation distribution function (ODF) of the parent phase is reconstructed from the inherited ODF of the transformed phase, provided that the lattice symmetry of the parent phase is higher than that of the inherited one and that the orientation relation between both phases is known. In the cases of experimental errors or variant selections, the positivity of the ODF of the parent phase is ensured by assuming that it is of quadratic form.