Table of Contents
Textures and Microstructures
Volume 19 (1992), Issue 1-2, Pages 67-74

Functions Describing Orientation Correlations in Polycrystalline Materials

Instytut Podstaw Metalurgii im. A. Krupkowskiego, Polska Akademia Nauk, ul. W.S. Reymonta 25, Krakow PL-30-059, Poland

Accepted 26 February 1990

Copyright © 1992 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.


Statistical functions are presented, which can be applied as characteristics of the polycrystalline microstructure when the parameters are the orientations at separate points of the sample. Basing on the formal definition of the ODF the corresponding definition of the two-point coherence function describing the orientation correlation is given. This immediately gives relations involving this function. Also a discretized form of such a two-point function is presented. Moreover, the relations of this function to other functions describing orientation correlation are considered.