Liquid Crystal Ordering in the Hexagonal Phase of Rod-Coil Diblock Copolymers

Density functional theory of rod-coil diblock copolymers, developed recently by the authors, has been generalised and used to study the liquid crystal ordering and microphase separation effects in the hexagonal, lamellar and nematic phases. The translational order parameters of rod and coil monomers...

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Main Authors: Mikhail A. Osipov, Maxim V. Gorkunov, Alexander A. Antonov
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/12/6/1262
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author Mikhail A. Osipov
Maxim V. Gorkunov
Alexander A. Antonov
author_facet Mikhail A. Osipov
Maxim V. Gorkunov
Alexander A. Antonov
author_sort Mikhail A. Osipov
collection DOAJ
description Density functional theory of rod-coil diblock copolymers, developed recently by the authors, has been generalised and used to study the liquid crystal ordering and microphase separation effects in the hexagonal, lamellar and nematic phases. The translational order parameters of rod and coil monomers and the orientational order parameters of rod-like fragments of the copolymer chains have been determined numerically by direct minimization of the free energy. The phase diagram has been derived containing the isotropic, the lamellar and the hexagonal phases which is consistent with typical experimental data. The order parameter profiles as functions of temperature and the copolymer composition have also been determined in different anisotropic phases. Finally, the spatial distributions of the density of rigid rod fragments and of the corresponding orientational order parameter in the hexagonal phase have been calculated.
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spelling doaj.art-e04d3a324370499fa01999a8b2d20a7a2023-11-20T02:23:58ZengMDPI AGPolymers2073-43602020-05-01126126210.3390/polym12061262Liquid Crystal Ordering in the Hexagonal Phase of Rod-Coil Diblock CopolymersMikhail A. Osipov0Maxim V. Gorkunov1Alexander A. Antonov2Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, Scotland, UKShubnikov Institute of Crystallography, Federal Scientific Research Centre “Crystallography and Photonics“, Russian Academy of Sciences, 119333 Moscow, RussiaShubnikov Institute of Crystallography, Federal Scientific Research Centre “Crystallography and Photonics“, Russian Academy of Sciences, 119333 Moscow, RussiaDensity functional theory of rod-coil diblock copolymers, developed recently by the authors, has been generalised and used to study the liquid crystal ordering and microphase separation effects in the hexagonal, lamellar and nematic phases. The translational order parameters of rod and coil monomers and the orientational order parameters of rod-like fragments of the copolymer chains have been determined numerically by direct minimization of the free energy. The phase diagram has been derived containing the isotropic, the lamellar and the hexagonal phases which is consistent with typical experimental data. The order parameter profiles as functions of temperature and the copolymer composition have also been determined in different anisotropic phases. Finally, the spatial distributions of the density of rigid rod fragments and of the corresponding orientational order parameter in the hexagonal phase have been calculated.https://www.mdpi.com/2073-4360/12/6/1262diblock copolymerdensity functionalhexagonal phase
spellingShingle Mikhail A. Osipov
Maxim V. Gorkunov
Alexander A. Antonov
Liquid Crystal Ordering in the Hexagonal Phase of Rod-Coil Diblock Copolymers
Polymers
diblock copolymer
density functional
hexagonal phase
title Liquid Crystal Ordering in the Hexagonal Phase of Rod-Coil Diblock Copolymers
title_full Liquid Crystal Ordering in the Hexagonal Phase of Rod-Coil Diblock Copolymers
title_fullStr Liquid Crystal Ordering in the Hexagonal Phase of Rod-Coil Diblock Copolymers
title_full_unstemmed Liquid Crystal Ordering in the Hexagonal Phase of Rod-Coil Diblock Copolymers
title_short Liquid Crystal Ordering in the Hexagonal Phase of Rod-Coil Diblock Copolymers
title_sort liquid crystal ordering in the hexagonal phase of rod coil diblock copolymers
topic diblock copolymer
density functional
hexagonal phase
url https://www.mdpi.com/2073-4360/12/6/1262
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