Non-Parametric Comparison of Crystallographic Orientation Distributions

Abstract:

Revisiting a spiral design for X-ray pole figure measurementsand a symbolic definition of a cumulative crystallographic orientation distributiona one-dimensional deterministic approximately uniform sequential design is appliedto evaluate and cumulate a given orientation density function resulting in a properly definedcumulative crystallographic orientation distribution.It provides a complementary means to compare distributionsin terms of graphs and the Kolomogorov-Smirnov distance.

• Periodical: Materials Science Forum (Volume 1016)
• Pages: 1258-1263
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.1016.1258
• Online since: January 2021
• Authors: Helmut Schaeben*
• Keywords: Archimedean Spiral, Cumulative Orientation Distribution Function, Diffraction Pole Figures, Geodesics of SO(3), Hopf Fibration, One-Dimensional Deterministic Approximately Uniform Sequential Design, Orientation Density Function, Texture Analysis

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