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On the Retrieval of Particle Size Distributions from Small‐Angle Scattering Data: the Influence of Statistical Data Dispersion
Author(s) -
Mulato M.,
Tygel D.,
Chambouleyron I.
Publication year - 1998
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/s0021889897008789
Subject(s) - scattering , noise (video) , small angle scattering , particle (ecology) , dispersion (optics) , particle size , statistical physics , particle size distribution , gaussian , optics , process (computing) , computational physics , shot noise , distribution (mathematics) , physics , algorithm , computer science , mathematics , mathematical analysis , artificial intelligence , chemistry , quantum mechanics , oceanography , image (mathematics) , geology , operating system , detector
The problem of the retrieval of the particle size distribution of scatterers from small‐angle scattering experiments with noisy data is addressed. Gaussian‐like particle size distributions of noninteractive spheres are used as illustrative examples. A numerical corrector method, previously reported by the present authors, is used for the retrieval process. The achievable information in real space is investigated with the help of numerical experiments, the solution of which is known in advance. Cases are solved assuming three different functional dependences of noise with scattering vector, which simulate experimental conditions. The method proves to be powerful in retrieving the correct information with noisy data. The reliability of the process is established as a function of noise level and particle size.