Generalized Kearns texture factors and orientation texture measurement

A generalization of the Kearns texture factors is presented. Mathematical relationships are derived that relate the generalized texture factors to other measures commonly used in quantitative texture analysis. In addition, values of the generalized texture factors for random orientation texture, numerical bounds for the texture factors, and estimates for experimental uncertainty are given. Kearns' method for measuring texture factors from θ − 2θ X-ray diffraction scans is extended for use in measuring higher order texture factors. A comparison of generalized texture factors measured through three common experimental techniques is presented.