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@ARTICLE{Frielinghaus:1046014,
author = {Frielinghaus, Henrich and Gommes, Cedric J.},
title = {{C}oherent multiple scattering in small-angle scattering
experiments: modeling approximations based on the {B}orn
expansion},
journal = {Journal of applied crystallography},
volume = {58},
number = {5},
issn = {0021-8898},
address = {Copenhagen},
publisher = {Munksgaard},
reportid = {FZJ-2025-03654},
pages = {1553-1570},
year = {2025},
abstract = {We start from an analytical formulation for the coherent
multiple scattering treatment – similar to Mie scattering
– for spherical particles. Then, we revisit the Born
approximation with an approximation for all higher-order
terms. Finally, we draw conclusions from those calculations
and formulate an approximative model to describe
ultra-small-angle neutron scattering and ultra-small-angle
X-ray scattering data. In all calculations, we can specify
the conditions for coherent multiple scattering. Several
examples are provided to show the quality of the simple
approximation in comparison with exact calculations and
experiments.},
cin = {JCNS-FRM-II / MLZ / JCNS-4},
ddc = {540},
cid = {I:(DE-Juel1)JCNS-FRM-II-20110218 / I:(DE-588b)4597118-3 /
I:(DE-Juel1)JCNS-4-20201012},
pnm = {6G4 - Jülich Centre for Neutron Research (JCNS) (FZJ)
(POF4-6G4) / 632 - Materials – Quantum, Complex and
Functional Materials (POF4-632)},
pid = {G:(DE-HGF)POF4-6G4 / G:(DE-HGF)POF4-632},
experiment = {EXP:(DE-MLZ)KWS3-20140101},
typ = {PUB:(DE-HGF)16},
doi = {10.1107/S1600576725006685},
url = {https://juser.fz-juelich.de/record/1046014},
}