Journal of Applied Crystallography

Volume 33, Part 2 (April 2000)

research papers

J. Appl. Cryst. (2000). 33, 206-212 [ doi:10.1107/S0021889899014879 ]

A non-linear positive method to reconstruct the parent textures from the inherited textures in phase transformation

M. Humbert, N. Gey and C. Esling

Abstract: 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.