An exact inversion method for extracting orientation ordering by small-angle scattering

Autor:	Wei-Ren Chen, Guan-Rong Huang, Changwoo Do, Lionel Porcar, Bobby G. Sumpter, Yangyang Wang, Jan-Michael Y. Carrillo
Rok vydání:	2021
Předmět:	Physics Azimuth Scattering Orientation (geometry) Mathematical analysis General Physics and Astronomy Spherical harmonics Physical and Theoretical Chemistry Small-angle scattering Anisotropy Symmetry (physics) Reference frame
Zdroj:	Physical Chemistry Chemical Physics. 23:4120-4132
ISSN:	1463-9084 1463-9076
Popis:	We outline a nonparametric inversion strategy for determining the orientation distribution function (ODF) of sheared interacting rods using small-angle scattering techniques. With the presence of direct inter-rod interaction and fluid mechanical forces, the scattering spectra are no longer characterized by the azimuthal symmetry in the coordinates defined by the principal directions of simple shear conditions, which severely compounds the reconstruction of ODFs based on currently available methods developed for dilute systems. Using a real spherical harmonic expansion scheme, the real-space ODFs are uniquely determined from the anisotropic scattering spectra and their numerical accuracy is verified computationally. Our method can be generalized to extract ODFs of uniaxially anisotropic objects under different flow conditions in a properly transformed reference frame with suitable basis vectors.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de631e4b3fb1d7cd0c44ed57d76e1111 https://doi.org/10.1039/d0cp05886f Zobrazit plný text záznamu