Molecular theory of flexoelectricity in nematic liquid crystals

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The molecular-statistical theory of flexoelectricity in nematic liquid crystals is considered in detail and general expressions for the flexoelectric coefficients are obtained in terms of the direct correlation function. These general formulae are then used to express the flexoelectric coefficients in terms of molecular model parameters using the mean-field approximation. The relation between dipolar and quadrupolar flexoelectricity is discussed in detail and the effect of molecular longitudinal and transverse electric dipoles and the polarity of the molecular shape on the value of the flexoelectric coefficients is considered. The contribution from a strong dipole–dipole intermolecular correlation is also estimated, and the dependence of the value and sign of the difference of the flexocoefficients on various molecular parameters is analysed. The results of the theory are compared with existing experimental data. Finally we consider the original version of the mean-field theory of flexoelectricity, proposed by Ferrarini, which allows us to take into account the real molecular shape.

LanguageEnglish
Title of host publicationFlexoelectricity in liquid crystals
Subtitle of host publicationtheory, experiments and applications
EditorsA. Buka, N. Eber
Pages9-32
Number of pages24
DOIs
Publication statusPublished - 2013

Fingerprint

Nematic Liquid Crystal
Dipole
Coefficient
Mean-field Approximation
Mean-field Theory
Polarity
Correlation Function
Transverse
Express
Experimental Data
Model

Keywords

  • molecular theory
  • flexoelectricity
  • nematic liquid crystals

Cite this

Osipov, M. (2013). Molecular theory of flexoelectricity in nematic liquid crystals. In A. Buka, & N. Eber (Eds.), Flexoelectricity in liquid crystals: theory, experiments and applications (pp. 9-32) https://doi.org/10.1142/9781848168008
Osipov, Mikhail. / Molecular theory of flexoelectricity in nematic liquid crystals. Flexoelectricity in liquid crystals: theory, experiments and applications. editor / A. Buka ; N. Eber. 2013. pp. 9-32
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Osipov, M 2013, Molecular theory of flexoelectricity in nematic liquid crystals. in A Buka & N Eber (eds), Flexoelectricity in liquid crystals: theory, experiments and applications. pp. 9-32. https://doi.org/10.1142/9781848168008

Molecular theory of flexoelectricity in nematic liquid crystals. / Osipov, Mikhail.

Flexoelectricity in liquid crystals: theory, experiments and applications. ed. / A. Buka; N. Eber. 2013. p. 9-32.

Research output: Chapter in Book/Report/Conference proceedingChapter

TY - CHAP

T1 - Molecular theory of flexoelectricity in nematic liquid crystals

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AB - The molecular-statistical theory of flexoelectricity in nematic liquid crystals is considered in detail and general expressions for the flexoelectric coefficients are obtained in terms of the direct correlation function. These general formulae are then used to express the flexoelectric coefficients in terms of molecular model parameters using the mean-field approximation. The relation between dipolar and quadrupolar flexoelectricity is discussed in detail and the effect of molecular longitudinal and transverse electric dipoles and the polarity of the molecular shape on the value of the flexoelectric coefficients is considered. The contribution from a strong dipole–dipole intermolecular correlation is also estimated, and the dependence of the value and sign of the difference of the flexocoefficients on various molecular parameters is analysed. The results of the theory are compared with existing experimental data. Finally we consider the original version of the mean-field theory of flexoelectricity, proposed by Ferrarini, which allows us to take into account the real molecular shape.

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Osipov M. Molecular theory of flexoelectricity in nematic liquid crystals. In Buka A, Eber N, editors, Flexoelectricity in liquid crystals: theory, experiments and applications. 2013. p. 9-32 https://doi.org/10.1142/9781848168008