Table of Contents
Textures and Microstructures
Volume 12, Issue 4, Pages 233-242

Reduction of Misorientations Between Two Cubic Crystals Into the Base Domain of Axis–Angle Space

1Instytut Podstaw Metalurgii, Krakow, Poland
2Institut für Werkstoffe, Technische Universität Braunschweig, Germany

Received 20 January 1990

Copyright © 1990 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 misorientation between two cubic crystallites can be described using different orientation parameters and represented in many symmetrically equivalent ways. It is, however, convenient when the misorientations between different pairs of crystallites all lie in the same base domain. This paper presents a computer program which reduces a misorientation given in axis–angle or in Euler's space into the base domain of the smallest angle of rotation.