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Reconstruction of grain boundaries in polycrystals by filtered back‐projection of diffraction spots
Author(s) -
Poulsen Henning Friis,
Schmidt Soeren
Publication year - 2003
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889803002358
Subject(s) - diffraction , projection (relational algebra) , grain boundary , spots , materials science , optics , mosaic , x ray crystallography , grain size , physics , computer science , algorithm , microstructure , composite material , chemistry , geography , archaeology
A reconstruction method is presented for the generation of three‐dimensional maps of the grain boundaries within powders or polycrystals. The grains are assumed to have a mosaic spread below 1°. They are mapped non‐destructively by diffraction with hard X‐rays, using a uniform mm 2 ‐sized beam. First the diffraction spots are sorted with respect to grain of origin by the indexing program GRAINDEX . Next, for each grain the reconstruction is performed by a variant of the filtered back‐projection algorithm. The reconstruction method is verified by a simulation over ten grains. Using 64 reflections for each grain, sub‐pixel accuracy is obtained. The potential of the method is outlined.