1995
DOI: 10.1107/s0021889895001324
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Improvements in the Quantitative Evaluation of Three-Dimensional Texture. I. The Nature of the Information Obtained from Pole Figures

Abstract: The sources of indefiniteness in the orientation-distribution-function (ODF) description of crystalline texture are shown to result from the integral nature of the pole-figure measurement. An equipartition-area theorem is proved and it is shown that current methods use too few pole figures, which are measured to an unnecessarily high angular resolution. The experimental resolution is considered and the number of pole figures needed for ODF analysis is calculated as a function of the required ODF resolution.

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“…The detector is set to the scattering angle for each of the chosen reflections and the sample is then tilted and rotated to create a map of the intensity and hence 'probability' function of the crystal orientations or pole figure. To create the orientation distribution of the crystallites requires involved mathematical methods of combining the results of the pole figures, Dahms and Bunge (1989); Järvinen (1993); Yu et al (1995). The general method of determining the orientation distribution function has been reviewed recently by Bunge (1992).…”
Section: Pole Figure and Orientation Distribution Methodsmentioning
confidence: 99%
“…The detector is set to the scattering angle for each of the chosen reflections and the sample is then tilted and rotated to create a map of the intensity and hence 'probability' function of the crystal orientations or pole figure. To create the orientation distribution of the crystallites requires involved mathematical methods of combining the results of the pole figures, Dahms and Bunge (1989); Järvinen (1993); Yu et al (1995). The general method of determining the orientation distribution function has been reviewed recently by Bunge (1992).…”
Section: Pole Figure and Orientation Distribution Methodsmentioning
confidence: 99%