Orientation density function-controlled pole probability density function measurements: automated adaptive control of texture goniometers

A novel control of a texture goniometer, which depends on the texture being measured itself, is suggested. In particular, it is suggested that the obsolete control with constant step sizes in both angles is replaced by an adaptive successive refinement of an initial coarse uniform grid to a locally...

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Bibliographic Details
Published in:Journal of applied crystallography 2007-06, Vol.40 (3), p.570-579
Main Authors: Hielscher, Ralf, Potts, Daniel, Prestin, Jürgen, Fundenberger, Jean-Jacques, Schaeben, Helmut
Format: Article
Language:English
Subjects:
Automation
Control systems
Crystallography
Measurement techniques
orientation density functions
pole density functions
pole figures
pole-to-orientation density inversion
radial basis functions
Scientific apparatus & instruments
texture analysis
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Summary:A novel control of a texture goniometer, which depends on the texture being measured itself, is suggested. In particular, it is suggested that the obsolete control with constant step sizes in both angles is replaced by an adaptive successive refinement of an initial coarse uniform grid to a locally refined grid, where the progressive refinement corresponds to the pattern of preferred crystallographic orientation. The prerequisites of this automated adaptive control is the fast inversion of pole intensities to orientation probabilities in the course of the measurements, and a mathematical method of inversion that does not require a raster of constant step sizes and applies to sharp textures.
ISSN:1600-5767
0021-8898
1600-5767
DOI:10.1107/S0021889807019711