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The variance as a measure of line broadening: corrections for truncation, curvature and instrumental effects
Author(s) -
Langford J. I.
Publication year - 1982
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/s0021889882012047
Subject(s) - curvature , truncation (statistics) , measure (data warehouse) , line (geometry) , variance (accounting) , range (aeronautics) , function (biology) , fourier transform , intensity (physics) , mathematics , physics , mathematical analysis , optics , statistics , materials science , computer science , geometry , accounting , database , evolutionary biology , business , composite material , biology
A correction for the unavoidable truncation of line profiles and an improved correction for the inherent curvature of the variance–range function are discussed. An analytical procedure for making the corrections is proposed and applied to theoretical and practical small‐crystallite line profiles. An alternative procedure for obtaining the integrated intensity, and hence the integral breadth, and the variance (Fourier) apparent size is also presented.