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Orientational Distribution Function of Aligned Elongated Molecules and Particulates Determined from Their Scattering Signature
Author(s) -
Guan-Rong Huang,
Yangyang Wang,
Changwoo Do,
Yuya Shinohara,
T. Egami,
Lionel Porcar,
Yun Liu,
WeiRen Chen
Publication year - 2019
Publication title -
acs macro letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.966
H-Index - 92
ISSN - 2161-1653
DOI - 10.1021/acsmacrolett.9b00496
Subject(s) - rod , scattering , characterization (materials science) , signature (topology) , anisotropy , distribution function , materials science , spherical harmonics , function (biology) , field (mathematics) , pair distribution function , light scattering , molecular physics , statistical physics , chemical physics , optics , physics , nanotechnology , geometry , thermodynamics , quantum mechanics , mathematics , medicine , alternative medicine , pathology , evolutionary biology , biology , pure mathematics
We present a strategy for quantitatively evaluating the field-induced alignment of nonspherical particles using small-angle scattering techniques. The orientational distribution function (ODF) is determined from the anisotropic scattering intensity via the scheme of real spherical harmonic expansion. Our developed approach is simple and analytical and does not require a presumptive hypothesis of the ODF as an input in data analysis. A model study of aligned rigid rods demonstrates the validity of this proposed approach to facilitate the quantitative structural characterization of materials with preferred orientational states.

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