Numerical calculation of the odd part of the texture function

Abstract

2014 In a recent letter a method was proposed how to determine the odd part of the texture function from the null domains of experimental pole figures [3]. In order to prove the validity of this method, numerical calculations have been done from a theoretical texture function of a gaussian type; then, the method has been applied to determine the complete texture function of a rolled copper sample. J. Physique LETTRES 42 (1981) L-141 L-144 15 MARS 1981, Classification Physics Abstracts 81.40E The orientation distribution function ODF of crystallites in a polycrystalline sample can be calculated from experimental pole figures by a series expansion method [1] In the case of centrosymmetric crystals or by virtue of Friedel’s law [2, 3] the odd part of this series f a(g) does not contribute to the experimental pole figures. Hence, it cannot be determined from pole figure measurements as can the even part f S(g). Nevertheless, there may be some information on the odd part contained in pole figures, if the pole figures and hence the ODF contain zero ranges Zoo From the general positivity condition