Texture
Volume 1 (1972), Issue 2, Pages 87-98
http://dx.doi.org/10.1155/TSM.1.87

Description of Orientation Distributions of Cubic Crystals by Means of 3-D Rotation Coordinates

1Leichtmetall-Forschungsinstitut of the Vereinigte Aluminium- Werke AG, Bonn, Germany
2lnstitut für Allgemeine Metallkunde und Metallphysik, Technische Hochschule, Aachen, Germany

Received 13 January 1972; Accepted 29 March 1972

Copyright © 1972 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.

Abstract

A method has been described to represent orientations and orientation distributions of cubic crystals by means of a 3-dimensional orientation space which is formed by the repeatedly discussed rotation coordinates (axis and angle of rotation). Special emphasis has been given to the problem of multi-valency of the representation due to the cubic symmetry, to the description of scattering around an ideal orientation and to the numerical evaluation of these orientation coordinates by means of rotation matrices.