Relations between Nematic Potential and Order Parameters (P<sub>2</sub>) and (P<sub>4</sub>)

Würflinger, A.; Urban, S.

doi:10.1515/zna-1998-10-1112

Cited by 3 publications

(1 citation statement)

References 7 publications

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“…Thus, we assume an analytical relation between ⟨ P 2 ⟩ and ⟨ P 4 ⟩. Figure shows a few representative models for the relation of ⟨ P 2 ⟩ and ⟨ P 4 ⟩ . The von Mises–Fisher model is used to describe the orientation distribution function of electric dipoles in a parallel electric field.…”

Section: Resultsmentioning

confidence: 99%

3D Orientation Imaging of Polymer Chains with Polarization-Controlled Coherent Raman Microscopy

Jin

Lee

2022

J. Am. Chem. Soc.

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Despite the ubiquity of three-dimensional (3D) anisotropic materials, their 3D molecular alignment cannot be measured using conventional two-dimensional (2D) polarization imaging. Here, we present images of the 3D angles of molecular orientations with submicrometer spatial resolution acquired through polarization-controlled coherent anti-Stokes Raman scattering microscopy. The hyperspectral Raman data of a polyethylene (PE) film were converted into images, showing the polymer chains' 3D angles and order parameters. The 3D orientation images of PE chains in ring-banded spherulites show that the azimuthal angles of the chains are perpendicular to the crystal growth direction, while the out-of-plane angles display limited-range oscillations synchronous with ring banding. The prevailing crystal growth model of fully twisting lamellae is inconsistent with the observed restricted oscillations of the out-of-plane direction, which are unobservable through conventional 2D projected imaging. This high-resolution, label-free, quantitative imaging of 3D molecular orientation can become a standard measurement tool for the microscopic structures of complex synthetic and biological materials.

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Section: Resultsmentioning

confidence: 99%