Quantitative evaluation of statistical errors in small-angle X-ray scattering measurements

  • A new model is proposed for the measurement errors incurred in typical small-angle X-ray scattering (SAXS) experiments, which takes into account the setup geometry and physics of the measurement process. The model accurately captures the experimentally determined errors from a large range of synchrotron and in-house anode-based measurements. Its most general formulation gives for the variance of the buffer-subtracted SAXS intensity σ2(q) = [I(q) + const.]/(kq), where I(q) is the scattering intensity as a function of the momentum transfer q; k and const. are fitting parameters that are characteristic of the experimental setup. The model gives a concrete procedure for calculating realistic measurement errors for simulated SAXS profiles. In addition, the results provide guidelines for optimizing SAXS measurements, which are in line with established procedures for SAXS experiments, and enable a quantitative evaluation of measurement errors.

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Metadaten
Author:Steffen M. Sedlak, Linda K. Bruetzel, Jan LipfertORCiDGND
URN:urn:nbn:de:bvb:384-opus4-1143353
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/114335
ISSN:1600-5767OPAC
Parent Title (English):Journal of Applied Crystallography
Publisher:International Union of Crystallography (IUCr)
Place of publication:Copenhagen
Type:Article
Language:English
Year of first Publication:2017
Publishing Institution:Universität Augsburg
Release Date:2024/07/25
Volume:50
Issue:2
First Page:621
Last Page:630
DOI:https://doi.org/10.1107/s1600576717003077
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Experimentalphysik I
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):CC-BY 2.0: Creative Commons - Namensnennung (mit Print on Demand)