Table of Contents
Textures and Microstructures
Volume 10, Issue 3, Pages 211-216

Some Information on Quaternions Useful in Texture Calculations

Institute for Metal Research, Polish Academy of Science, Cracow, Poland

Received 19 July 1988; Accepted 6 October 1988

Copyright © 1989 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.


Crystal orientation is described by a rotation which can be expressed by a great number of different sets of parameters. Among these, the quaternion representation is the most economic one. The basic properties of quaternions are briefly summarized and their interrelationships with other orientation coordinates such as rotation axis and angle, the orientation matrix, and the Euler angles are given.