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We present the first world-wide inter-laboratory comparison of small-angle X-ray scattering (SAXS) for nanoparticle sizing. The measurands in this comparison are the mean particle radius, the width of the size distribution and the particle…

Data Analysis, Statistics and Probability · Physics 2017-08-22 Brian R. Pauw , Claudia Kästner , Andreas F. Thünemann

Small-angle scattering (SAS) techniques are indispensable tools for probing the structure of soft materials. However, traditional analytical models often face limitations in structural inversion for complex systems, primarily due to the…

Small-angle X-ray and neutron scattering (SAXS and SANS) are powerful techniques in material science and soft matter. In this study, it was addressed how multiple SAXS or SANS datasets are best weighted when doing simultaneous fitting.…

Soft Condensed Matter · Physics 2025-05-30 Andreas Haahr Larsen

Small Angle Scattering (SAS) of X-rays or neutrons is an experimental technique that provides valuable structural information for biological macromolecules under physiological conditions and with no limitation on the molecular size. In…

Biomolecules · Quantitative Biology 2013-06-11 Konstantin Berlin , Nail A. Gumerov , Ramani Duraiswami , David Fushman

Magnetic small-angle neutron scattering (SANS) is ideally suited to provide direct, reciprocal-space information of long-wavelength magnetic modulations, such as helicoids, solitons, merons, or skyrmions. SANS of such structures in thin…

Strongly Correlated Electrons · Physics 2022-11-14 Grace L. Causer , Alfonso Chacon , André Heinemann , Christian Pfleiderer

Characterization of structural diversity within soft materials is key for engineering new materials for various applications. Small-angle scattering (SAS) is a widely used characterization technique that provides structural information in…

Soft Condensed Matter · Physics 2024-03-29 Sri Vishnuvardhan Reddy Akepati , Nitant Gupta , Arthi Jayaraman

Very Small Angle Neutron Scattering (VSANS) is an upgrade of the traditional Small Angle Neutron Scattering (SANS) technique which can cover three orders of magnitude of length scale from one nanometer to one micrometer. It is a powerful…

Instrumentation and Detectors · Physics 2016-03-22 Taisen Zuo , He Cheng , Yuan-Bo Chen , Fang-Wei Wang

Small-angle scattering (SAS) intensities observed experimentally are often characterized by the presence of successive power-law regimes with various scattering exponents whose values vary from -4 to -1. This usually indicates multiple…

Statistical Mechanics · Physics 2014-01-31 A. Yu. Cherny , E. M. Anitas , V. A. Osipov , A. I. Kuklin

In the problem of spotlight mode airborne synthetic aperture radar (SAR) image formation, it is well-known that data collected over a wide azimuthal angle violate the isotropic scattering property typically assumed. Many techniques have…

Image and Video Processing · Electrical Eng. & Systems 2023-04-12 Victor Churchill , Anne Gelb

Scientific datasets present unique challenges for machine learning-driven compression methods, including more stringent requirements on accuracy and mitigation of potential invalidating artifacts. Drawing on results from compressed sensing…

Machine Learning · Computer Science 2024-05-24 Matthias Chung , Rick Archibald , Paul Atzberger , Jack Michael Solomon

Sketch-and-solve (SAS) is a very successful method to efficiently estimate the solution of heavily overdetermined large linear least squares problems. It uses random sketching to reduce the size of the problem, hence reducing the…

Numerical Analysis · Mathematics 2026-05-26 Irina-Beatrice Haas , Michael B. Giles , Yuji Nakatsukasa

Resolution smearing is a critical challenge in the quantitative analysis of two-dimensional small-angle neutron scattering (SANS) data, particularly in studies of soft matter flow and deformation using SANS. We present the central moment…

A reliable and user-friendly characterisation of nano-objects in a target material is presented here in the form of a software data analysis package for interpreting small-angle X-ray scattering (SAXS) patterns. When provided with data on…

Data Analysis, Statistics and Probability · Physics 2014-12-08 Ingo Breßler , Brian R. Pauw , Andreas Thünemann

We present a computational study of small-angle X-ray scattering (SAXS) in amorphous silicon ($a$-Si) with particular emphasis on the morphology and microstructure of voids. The relationship between the scattering intensity in SAXS and the…

Disordered Systems and Neural Networks · Physics 2018-05-23 Durga Paudel , Raymond Atta-Fynn , David A. Drabold , Stephen R. Elliott , Parthapratim Biswas

Small-angle X-ray and neutron scattering are widely used to investigate soft matter and biophysical systems. The experimental errors are essential when assessing how well a hypothesized model fits the data. Likewise, they are important when…

Data Analysis, Statistics and Probability · Physics 2022-04-20 Andreas Haahr Larsen , Martin Cramer Pedersen

In this paper, we construct a three-phase model (that is, a system consisting of three homogeneous regions with various scattering length densities), which illustrate the behavior of small-angle scattering (SAS) scattering curves. Here two…

Statistical Mechanics · Physics 2015-06-18 Eugen M. Anitas , Alexander Yu. Cherny , Vladimir A. Osipov , Alexander I. Kuklin

Magnetic nanoparticles offer a unique potential for various biomedical applications, but prior to commercial usage a standardized characterization of their structural and magnetic properties is required. For a thorough characterization, the…

Mesoscale and Nanoscale Physics · Physics 2020-08-18 Mathias Bersweiler , Helena Gavilan Rubio , Dirk Honecker , Andreas Michels , Philipp Bender

Nanoscale manufacturing requires high-precision surface inspection to guarantee the quality of the produced nanostructures. For production environments, angle-resolved scatterometry offers a non- invasive and in-line compatible alternative…

Signal Processing · Electrical Eng. & Systems 2025-08-26 Mehdi Abdollahpour , Carsten Bockelmann , Tajim Md Hasibur Rahman , Armin Dekorsy , Andreas Fischer

Small-angle neutron scattering (SANS) is the most significant neutron technique in terms of impact on science and engineering. However, the basic concept of SANS facilities has not changed since the technique's inception about 40 years ago,…

Instrumentation and Detectors · Physics 2013-10-07 Dazhi Liu , Boris Khaykovich , Mikhail V. Gubarev , J Lee Robertson , Lowell Crow , Brian D. Ramsey , David E. Moncton

A number of experimental small-angle scattering (SAS) data are characterized by a succession of power-law decays with arbitrarily decreasing values of scattering exponents. To describe such data, here we develop a new theoretical model…

Statistical Mechanics · Physics 2014-07-08 Eugen M. Anitas