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Direct methods in small‐angle scattering
Author(s) -
Svergun D. I.
Publication year - 1988
Publication title -
makromolekulare chemie. macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 0258-0322
DOI - 10.1002/masy.19880150105
Subject(s) - tikhonov regularization , isotropy , regularization (linguistics) , scattering , small angle scattering , multipole expansion , physics , mathematics , mathematical analysis , statistical physics , computational physics , optics , computer science , inverse problem , artificial intelligence , quantum mechanics
Direct methods of small‐angle scattering data treatment and interpretation are reviewed. The possibilities of Tikhonov's regularization method for solving ill‐posed experimental data processing problems (desmearing, size distribution functions evaluation) are shown; comparison with other data treatment methods is made. Methods for direct reconstruction of the structure of particles in isotropic monodisperse objects are presented. The cases of particles described by one‐ and two‐dimensional density distributions and the possibilities of application of the multipole expansion theory are considered.