TY  - JOUR
A1  - Bender, Philipp
A1  - Honecker, Dirk
A1  - Bersweiler, Mathias
A1  - Costo, Rocio
A1  - Kahmann, Tamara
A1  - Ludwig, Frank
A1  - Leiner, Jon
A1  - Jochum, Johanna K.
T1  - Robust approaches for model‐free small‐angle scattering data analysis
Y1  - 2022-05-28
VL  - 55
IS  - 3
SP  - 586
EP  - 591
JF  - Journal of Applied Crystallography
DO  - 10.1107/S1600576722004356
PB  - International Union of Crystallography
N2  - The small‐angle neutron scattering data of nanostructured magnetic samples contain information regarding their chemical and magnetic properties. Often, the first step to access characteristic magnetic and structural length scales is a model‐free investigation. However, due to measurement uncertainties and a restricted q range, a direct Fourier transform usually fails and results in ambiguous distributions. To circumvent these problems, different methods have been introduced to derive regularized, more stable correlation functions, with the indirect Fourier transform being the most prominent approach. Here, the indirect Fourier transform is compared with the singular value decomposition and an iterative algorithm. These approaches are used to determine the correlation function from magnetic small‐angle neutron scattering data of a powder sample of iron oxide nanoparticles; it is shown that with all three methods, in principle, the same correlation function can be derived. Each method has certain advantages and disadvantages, and thus the recommendation is to combine these three approaches to obtain robust results.
N2  - Three different approaches are compared for determination of the correlation function from the small‐angle neutron scattering data of a powder sample of iron oxide nanoparticles.
UR  - http://resolver.sub.uni-goettingen.de/purl?gldocs-11858/10220
ER  -