Model-Free Approach for Profiling of Polydisperse Soft Matter Using Small Angle Scattering

Huang, Guan-Rong; Tung, Chi-Huan; Porcar, Lionel; Wang, Yangyang; Shinohara, Yuya; Do, Changwoo; Chen, Wei-Ren

doi:10.1021/acs.macromol.3c00726

Title: Model-Free Approach for Profiling of Polydisperse Soft Matter Using Small Angle Scattering

Journal Article · 28 July 2023 · Macromolecules

DOI: https://doi.org/10.1021/acs.macromol.3c00726 · OSTI ID:2000414

^[1]; Tung, Chi-Huan ^[2]; Porcar, Lionel ^[3];

^[4];

^[4]

National Sun Yat-sen University (Taiwan)
National Tsing Hua Univ., Hsinchu (Taiwan)
Inst. Laue-Langevin (ILL), Grenoble (France)
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

A strategy for determining the size polydispersity of systems from their small angle coherent scattering is outlined. Here, using the method of moment expansion, we show that the various central moments representing the average particle size, variance of particle size, and skewness of size distribution function (SDF) for polydisperse systems can be extracted from spectral analysis without bias. When the degree of polydispersity is moderate, SDF can be further reconstructed based on the maximum entropy principle. Numerical benchmarking of a model study over a wide range of size nonuniformity demonstrates the validity of this analytical approach for quantifying the size distribution of general soft matter systems in a model-free manner. Furthermore, the efficacy of this method was validated by successfully applying it to the fitting of small-angle neutron scattering data obtained from L64 Pluronic micelles using various form factor models. The numerical and experimental verification underscores the reliability and versatility of this method in accurately characterizing the size distribution of complex soft matter systems.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 2000414

Journal Information:: Macromolecules, Journal Name: Macromolecules Journal Issue: 16 Vol. 56; ISSN 0024-9297

Publisher:: American Chemical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
entropy
order
particle size
physical and chemical properties
scattering

Title: Model-Free Approach for Profiling of Polydisperse Soft Matter Using Small Angle Scattering

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