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Bayesian Inference for Small-Angle Scattering Data II: Core-Shell Samples

2024/05/12 by Keigo Oyama, Oyama, Keigo, Yui Hayashi +11
Engineering · #Applied Physics (physics.app-ph) #FOS: Physical sciences #Geophysical Methods and Applications

paper · pdf · doi:10.48550/arxiv.2405.07302

openalex publication_date 2024/05/12 · openalex created_date 2024/05/15 · openalex updated_date 2026/07/28

Abstract

Small-angle scattering (SAS) techniques, which utilize neutrons and X-rays, are employed in various scientific fields, including materials science, biochemistry, and polymer physics. During the analysis of SAS data, model parameters that contain information about the sample are estimated by fitting the observational data to a model of sample. Previous research has demonstrated the effectiveness of Bayesian inference in analyzing SAS data using a sphere model. However, compared with the sphere model, the core-shell model, which represents functional nanoparticles, offers higher application potential and greater analytical value. Therefore, in this study, we propose an analytical method for the more complex and practical core-shell model based on Bayesian inference. Through numerical experiments, we evaluated the performance of this method under different conditions, including measurement times, number of data points, and differences in scattering length density. As a result, we clarify the conditions under which accurate estimations are possible.

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