Table of Contents
Textures and Microstructures
Volume 6, Issue 2, Pages 97-103

Normalizing Incomplete Experimental Pole Figures by Means of the Vector Method

1Department of Geology and Geophysics, University of California, Berkeley, California 94720, USA
2Centre d'Etudes des Textures de Metz, Laboratoire de Métallurgie Structurale, Faculté des Sciences, Université de Metz, Ile du Saulcy, Metz Cedex 57045, France

Received 5 September 1983

Copyright © 1984 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.


The vector method of quantitative texture analysis provides a new solution of the problem of normalizing incomplete experimental pole figures. It basically makes use of the fact that the matrix σ*(hkl) to which the corresponding matrix σ(hkl) reduces in case of: (1) axial symmetry in terms of pole figures; or (2) fiber textures in terms of orientations, is full range. In this case σ*(hkl) actually establishes the correspondence between the axial symmetrical direct pole figure and the corresponding inverse pole figure with respect to the normal ON of the sample.