Verification of the Reconstruction of Pole Figures from Electron Backscatter Diffraction Measurements Performed under Variation of Experimental Parameters
https://doi.org/10.1134/S2304487X2001006X
Abstract
The adequacy of the reconstruction of pole figures (PFs) from the results of the electron backscatter diffraction (EBSD) experiment has been verified using a new technique for estimating the similarity of two PFs. This method is based on an analog of the Kolmogorov–Smirnov criterion on the S2 sphere and takes into account the probabilistic nature of PFs. This method also proposes a quantitative similarity measure for the compared PFs. In this study, this method is utilized to quantitatively compare the PF reconstructed from the results of the EBSD experiment to the PF of a polycrystalline sample in order to estimate the effect of the selected values of the EBSD experiment parameters on the underlying distribution. Such a comparison becomes possible by mathematical modeling of a polycrystalline sample and a subsequent EBSD experiment. A new similarity measure between the sample PF and the PF obtained from the result of model EBSD measurements under the variation of the experimental parameters, namely, the scanning step and tolerance angle, has been calculated. The results have been compared to similar results for the RP factor widely used to estimate the differences between two PFs. Both metrics are utilized to study the effect of the texture sharpness parameter of the polycrystalline sample on the results of the EBSD experiment with various scanning steps and tolerance angles.
Keywords
EBSD,
scanning step,
tolerance angle,
polycrystall,
mathematical modelling,
pole figures,
RP- factor,
Kolmogorov–Smirnov test,
quantitative texture analysis
Supporting agencies: The study was carried out with financial support of the Russian Foundation for Basic Research within the framework of a scientific project No. 18-31-00036
About the Authors
A. O. Ovchinnikova
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
115409
Moscow
T. I. Savyolova
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
115409
Moscow
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Review
For citations:
Ovchinnikova A.O., Savyolova T.I. Verification of the Reconstruction of Pole Figures from Electron Backscatter Diffraction Measurements Performed under Variation of Experimental Parameters. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2020;9(1):58-65. (In Russ.) https://doi.org/10.1134/S2304487X2001006X
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