Abstract
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.
Original language | English |
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Pages (from-to) | 586-591 |
Number of pages | 6 |
Journal | Journal of Applied Crystallography |
Volume | 55 |
DOIs | |
State | Published - Jun 1 2022 |
Externally published | Yes |
Funding
The authors thank the Heinz Maier-Leibnitz Zentrum (MLZ) for providing beamtime at the instrument RESEDA. Furthermore, we gratefully acknowledge the support of the Braunschweig International Graduate School of Metrology B-IGSM and the DFG Research Training Group 1952 Metrology for Complex Nanosystems. Open access funding enabled and organized by Projekt DEAL. Funding for this research was provided by Deutsche Forschungsgemeinschaft; Bundesministerium fur Bildung und Forschung (grant No. 05K16WO6). This work benefited from the use of the SasView application, originally developed under NSF award No. DMR-0520547. SasView contains code developed with funding from the European Union s Horizon 2020 research and innovation programme under the SINE2020 project, grant agreement No. 654000. The authors thank the Heinz Maier-Leibnitz Zentrum (MLZ) for providing beamtime at the instrument RESEDA. Furthermore, we gratefully acknowledge the support of the Braunschweig International Graduate School of Metrology B-IGSM and the DFG Research Training Group 1952 Metrology for Complex Nanosystems. Open access funding enabled and organized by Projekt DEAL. Funding for this research was provided by Deutsche Forschungsgemeinschaft; Bundesministerium für Bildung und Forschung (grant No. 05K16WO6). This work benefited from the use of the SasView application, originally developed under NSF award No. DMR-0520547. SasView contains code developed with funding from the European Union’s Horizon 2020 research and innovation programme under the SINE2020 project, grant agreement No. 654000.
Funders | Funder number |
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Braunschweig International Graduate School of Metrology B-IGSM | |
European Union s Horizon 2020 research and innovation programme | |
Heinz Maier-Leibnitz Zentrum | |
MLZ | |
National Science Foundation | DMR-0520547 |
Horizon 2020 Framework Programme | 654000 |
Deutsche Forschungsgemeinschaft | |
Bundesministerium für Bildung und Forschung | 05K16WO6 |
Keywords
- Fourier transform
- MIEZE
- RESEDA
- correlation functions
- magnetic nanoparticles
- modulation of intensity with zero effort
- small-angle scattering