Anisotropy factors in small-angle scattering for dilute rigid-rod suspensions

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Author(s)Rooks, J.
Author(s)Gilbert, P. H.
Author(s)Porcar, L.
Author(s)Liu, Y.
Author(s)Butler, P.
Date Accessioned2023-08-03T17:38:22Z
Date Available2023-08-03T17:38:22Z
Publication Date2023-06
DescriptionThis article was originally published in Journal of Applied Crystallography. The version of record is available at: https://doi.org/10.1107/S1600576723002182
AbstractAlignment of anisotropic particles along specific orientations influences the mechanical and rheological properties of a material. Small-angle scattering techniques are widely used to probe this alignment through analysis of anisotropic two-dimensional scattering intensity patterns. The anisotropy factor is the simplest and most common quantitative parameter for describing scattering anisotropy, especially in systems containing rod-like particles, and there are several methods for calculating this factor. However, there has been no systematic study comparing these methods while also evaluating the limitations imposed by non-idealities from instrumentation or polydisperse morphology. Three of the most common methods for calculating an anisotropy factor are examined here and their effectiveness for describing the orientation of a theoretical cylinder is evaluated. It is found that the maximum theoretical value of 1 for the anisotropy factor is only accessible at certain values of scattering vector q. The analysis details recommendations for q-range selection and data binning, as these influence the calculations. The theoretical results are supported by experimental small-angle neutron scattering data for a wormlike micelle solution undergoing shear, where different calculation methods yield distinct quantifications of anisotropy.
SponsorSupport for Jack Rooks was provided via the Summer Undergraduate Research Fellowship (SURF) program that is part of the Center for High Resolution Neutron Scattering (CHRNS), a partnership between the National Institute of Standards and Technology and the National Science Foundation under agreement No. DMR-2010792. This research was performed while Peter Gilbert held an NRC Research Associateship award at the NCNR. This work benefitted from the use of the SasView application, originally developed under NSF award DMR-0520547. SasView contains code developed with funding from the European Union’s Horizon 2020 research and innovation programme under the SINE2020 project, grant agreement No. 654000.
CitationRooks, Jack, Peter H. Gilbert, Lionel Porcar, Yun Liu, and Paul Butler. “Anisotropy Factors in Small-Angle Scattering for Dilute Rigid-Rod Suspensions.” Journal of Applied Crystallography 56, no. 3 (June 2023): 683–96. https://doi.org/10.1107/S1600576723002182.
ISSN1600-5767
URLhttps://udspace.udel.edu/handle/19716/33052
Languageen_US
PublisherJournal of Applied Crystallography
Keywordssmall-angle neutron scattering
Keywordsanisotropy factors
Keywordsalignment
Keywordswormlike micelles
Keywordsanisotropy
Keywordssmall-angle scattering
TitleAnisotropy factors in small-angle scattering for dilute rigid-rod suspensions
TypeArticle
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