Error evaluation of partial scattering functions obtained from contrast variation small-angle neutron scattering
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909548181192704 |
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| author | Mayumi, Koichi Oda, Tatsuro Miyajima, Shinya Obayashi, Ippei Tanaka, Kazuaki |
| author_facet | Mayumi, Koichi Oda, Tatsuro Miyajima, Shinya Obayashi, Ippei Tanaka, Kazuaki |
| contents | Contrast variation small-angle neutron scattering (CV-SANS) is a powerful tool to evaluate the structure of multi-component systems by decomposing scattering intensities $I$ measured with different scattering contrasts into partial scattering functions $S$ of self- and cross-correlations between components. The measured $I$ contains a measurement error, $ΔI$, and $ΔI$ results in an uncertainty of partial scattering functions, $ΔS$. However, the error propagation from $ΔI$ to $ΔS$ has not been quantitatively clarified. In this work, we have established deterministic and statistical approaches to determine $ΔS$ from $ΔI$. We have applied the two methods to (i) computational data of a core-shell sphere and experimental CV-SANS data of (ii) clay/polyethylene glycol (PEG) aqueous solutions and (iii) polyrotaxane solutions, and have successfully estimated the errors of \(S\). The quantitative error estimation of \(S\) offers us a strategy to optimize the combination of scattering contrasts to minimize error propagation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_00311 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Error evaluation of partial scattering functions obtained from contrast variation small-angle neutron scattering Mayumi, Koichi Oda, Tatsuro Miyajima, Shinya Obayashi, Ippei Tanaka, Kazuaki Soft Condensed Matter Chemical Physics Data Analysis, Statistics and Probability Contrast variation small-angle neutron scattering (CV-SANS) is a powerful tool to evaluate the structure of multi-component systems by decomposing scattering intensities $I$ measured with different scattering contrasts into partial scattering functions $S$ of self- and cross-correlations between components. The measured $I$ contains a measurement error, $ΔI$, and $ΔI$ results in an uncertainty of partial scattering functions, $ΔS$. However, the error propagation from $ΔI$ to $ΔS$ has not been quantitatively clarified. In this work, we have established deterministic and statistical approaches to determine $ΔS$ from $ΔI$. We have applied the two methods to (i) computational data of a core-shell sphere and experimental CV-SANS data of (ii) clay/polyethylene glycol (PEG) aqueous solutions and (iii) polyrotaxane solutions, and have successfully estimated the errors of \(S\). The quantitative error estimation of \(S\) offers us a strategy to optimize the combination of scattering contrasts to minimize error propagation. |
| title | Error evaluation of partial scattering functions obtained from contrast variation small-angle neutron scattering |
| topic | Soft Condensed Matter Chemical Physics Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2406.00311 |