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Size distribution of single‐crystal nanoparticles by Monte Carlo fitting of wide‐angle X‐ray scattering peak shape
Author(s) -
Di Nunzio P. E.,
Martelli S.
Publication year - 1999
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/s0021889899002071
Subject(s) - monte carlo method , scattering , diffraction , transmission electron microscopy , materials science , distribution (mathematics) , particle size distribution , particle (ecology) , crystal (programming language) , small angle x ray scattering , computational physics , particle size , crystallography , molecular physics , optics , physics , chemistry , mathematics , mathematical analysis , statistics , oceanography , computer science , programming language , geology
According to Bertaut's theorem [ Acta Cryst. (1950), 3 , 14–18], the size distribution of a powder sample constituted by perfect single‐crystal particles can be easily determined from the peak shape analysis. The comparison between particle size distributions determined by a Monte Carlo fitting algorithm and those determined by direct observation using transmission electron microscopy shows that, as expected, the X‐ray diffraction determination cannot be confidently used for particles with maximum dimensions above about 60 nm.