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The primitive function for slit‐height desmearing in SAXS
Author(s) -
Deutsch M.,
Luban M.
Publication year - 1987
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/s0021889887086874
Subject(s) - slit , function (biology) , convergence (economics) , interval (graph theory) , mathematics , combinatorics , physics , mathematical analysis , optics , evolutionary biology , economics , biology , economic growth
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 ) = g 0 ( t ) is known for the interval 0 ≤ t ≤ t 0 , then g ( t ) = g n ( t ) can be calculated recursively, for the intervals n ½ t 0 ≤ t ≤ ( n + 1) ½ t 0 . A general method is presented for calculating g 0 ( 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 10 6 .