The primitive function for slit-height desmearing in SAXS

M. Deutsch; M. Luban

doi:10.1107/s0021889887086874

The primitive function for slit-height desmearing in SAXS

M. Deutsch
, M. Luban

Department of Physics - at Bar-Ilan University

Ames Laboratory

Research output: Contribution to journal › Article › peer-review

Abstract

The recursive method of Schmidt & Fedorov [J. Appl. Cryst. (1978). 11, 411–416] allows for calculation of the correction function g(t) for slit-height smearing in terms of the slit transmission function f(t). In this method, if the primitive function g(t) = g₀(t) is known for the interval 0 ≤t≤t₀, then g(t) = g_n(t) can be calculated recursively, for the intervals n^½t₀≤t≤ (n + 1)^½t₀. A general method is presented for calculating g₀(t) in powers of t. To illustrate the utility of our method, three numerical examples are examined, indicating rapid convergence to a level of accuracy of 1 in 10⁶.

Original language	English
Pages (from-to)	179-181
Number of pages	3
Journal	Journal of Applied Crystallography
Volume	20
Issue number	3
DOIs	https://doi.org/10.1107/s0021889887086874
State	Published - 1987

Bibliographical note

Publisher Copyright:
© 1987, Wiley-Blackwell. All rights reserved.

Funding

The authors are indebted to E W. Schmidt for helpful correspondence and to the Israel Academy of Sciences for financial support. University under contract No. W-7405-ENG-82. This work was supported by the Director for Energy Research, Office of Basic Energy Sciences.

Funders
Basic Energy Sciences
Israel Academy of Sciences and Humanities

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The primitive function for slit-height desmearing in SAXS

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