Inversion of Pole Figures for Materials Having Orthorhombic Symmetry
Open Access
- 1 January 1966
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 37 (1) , 359-364
- https://doi.org/10.1063/1.1707841
Abstract
A method for obtaining inverse pole figures from pole figures for materials having orthorhombic symmetry is presented. The method entails expansion of the axis distribution function in a series of spherical surface harmonics of appropriate symmetry, even in x1, x2, x3. Truncation of the series at order n=2, 4, 6, …, 2m, where m is a nonnegative integer, gives rise to ½n systems of 2,3,(½n)+1 simultaneous linear equations in a like number of variables, requiring a minimum of (½n)+1 pole figures for solution. A method for evaluating the goodness of fit is suggested. Data obtained by Mueller and Knott for alpha uranium are used to illustrate the method.This publication has 5 references indexed in Scilit:
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