期刊
JOURNAL OF APPLIED CRYSTALLOGRAPHY
卷 35, 期 -, 页码 338-346出版社
INT UNION CRYSTALLOGRAPHY
DOI: 10.1107/S0021889802004156
关键词
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The size-broadened profile given by the lognormal and gamma size distributions of spherical crystallites is considered. An analytical approximation for the size-broadened profile is derived that can be analytically convolved with the strain-broadened and instrumental-broadened profiles. The method is tested on two CeO2 powders; one shows 'super-Lorentzian' profiles that were successfully modelled under the assumption of a broad lognormal size distribution. It is shown that the Voigt function, as a common model for a size-broadened profile, fails for both very narrow and broad size distributions. It is argued that the size-broadened line profile is not very sensitive to variations in size distribution and that an apparent domain size or even column-length distribution function can correspond to significantly different size distributions.
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