Table of Contents
Texture of Crystalline Solids
Volume 3 (1979), Issue 2, Pages 73-83
http://dx.doi.org/10.1155/TSM.3.73

An Analytical Method for the Quantitative Determination of the Volume Fractions in Fiber Textures

1Institute of Physical Chemistry, Bulgarian Academy of Sciences, Sofia, Bulgaria
2Institute of Physical Metallurgy and Metal Physics, Technical University Clausthal, Germany

Received 12 June 1978

Copyright © 1979 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

In order to evaluate pole-figure measurements quantitatively, one needs the normalization factor which reduces measured intensity values to multiples of the random density. This factor may be determined experimentally by measuring the intensities of a random sample or it may be calculated by integrating over the whole pole-figure or its asymmetric unit. If pole-figure values are not available in the whole angular range 0φ90° (incomplete pole-figures), then the calculation is in general much more difficult and it usually presumes the knowledge of several pole-figures.

In the case of fiber textures (axial symmetry), consisting of only a few strongly preferred orientations with the crystal directions uvwi parallel to the axis of symmetry, the normalization factor and hence the volume fractions of the components i may be calculated in a rather simple way requiring only one, possibly incomplete, pole figure.