Table of Contents
Textures and Microstructures
Volume 8 –9

Statistical Treatment of Measured Orientation Relationships

Erich-Schmid-lnstitut für Festkörperphysik der Österr, Akademie der Wissenschaften, Leoben A-8700, Austria

Received 13 May 1987

Copyright © 1988 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.


Using the χ2-test a statistical method is described, which allows a clear decision whether a given distribution of orientation relationships between adjacent grains is random or not. The validity of this method even for small numbers of orientation relationships, as obtained from electron microscopical measurements, is shown by generating a small sample of randomly distributed orientation relationships and testing it against the calculated distribution. The method is applied to orientation relationships measured between α/α-, α/β- and β/β-neighbouring grains in single- and dual-phase brasses.