A deconvolution method of evaluating small-angle X-ray scattering from lamellar structures

Content Provider	Semantic Scholar
Author	Pape, Eduard Hermann Kreutz, Werner
Copyright Year	1978
Abstract	An iterative deconvolution method is presented which is suitable for evaluating scattering diagrams of lamellar structures with a centrosymmetric unit cell. The analysis of the scattering intensity via the Q-function method of Hosemann and Bagchi requires the deconvolution of the generalized Patterson function of the unit cell, the Q0-function. Using a Gaussian representation for the electron density distribution of the unit cell Q0, the deconvolution of the corresponding Q0 function is performed by a least-squares refinement of the Gaussian parameters, employing the nonlinear least-squares method of Marquardt [J. Sov. Ind. Appl. Math. (1963). 11, 431–441]. The advantages of the method are: (i) the number of parameters describing the structure Q0 can be held to a minimum; (ii) the method is also well suitable for the deconvolution of distorted Q0 functions; (iii) the complete computing time is very short. The method has been successfully tested on a series of model functions and has been applied to an experimental function derived from the small-angle scattering data of wet erythrocyte ghost membranes. The way to estimate a first approximation of the solution is described and the limits of the method are discussed.
Starting Page	421
Ending Page	429
Page Count	9
File Format	PDF HTM / HTML
DOI	10.1107/S0021889878013539
Alternate Webpage(s)	http://journals.iucr.org/j/issues/1978/05/00/a16814/a16814.pdf
Alternate Webpage(s)	https://doi.org/10.1107/S0021889878013539
Volume Number	11
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article