Table of Contents
Textures and Microstructures
Volume 14–18

Determination of the Orientation Distribution Function From Arbitrary Diffraction Data

Mining and Metallurgical Engineering McGill University, University St., Montreal H3A 2A7, Canada

Copyright © 1991 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A method proposed by Bunge in which we assume a fit between the theoretical ODF and the isolated expetal points was used to calculate the ODF from experimental data chosen in an arbitrary way in a pole figure and an inverse pale figure space. In particular, this technique was used to obtain the ODF from the measurements of three, two and one pole figures, from the data obtained using the reflection technique only or transmission technique only, from inverse pole figures and from the photo showing the Debye-Scherrer rings. Various tests described in this paper allows us to suggest an empirical rule indicating that the number of experimental data points should be three times higher than the number of required series expansion coefficients of the ODF. In addition, other factors, for instance, the strength of texture and the distribution of experimental points are also important.