The primitive function for slit‐height desmearing in SAXS

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 .