### Abstract

Language | English |
---|---|

Title of host publication | Flexoelectricity in liquid crystals |

Subtitle of host publication | theory, experiments and applications |

Editors | A. Buka, N. Eber |

Pages | 9-32 |

Number of pages | 24 |

DOIs | |

Publication status | Published - 2013 |

### Fingerprint

### Keywords

- molecular theory
- flexoelectricity
- nematic liquid crystals

### Cite this

*Flexoelectricity in liquid crystals: theory, experiments and applications*(pp. 9-32) https://doi.org/10.1142/9781848168008

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*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.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Molecular theory of flexoelectricity in nematic liquid crystals

AU - Osipov, Mikhail

PY - 2013

Y1 - 2013

N2 - 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.

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.

KW - molecular theory

KW - flexoelectricity

KW - nematic liquid crystals

UR - http://www.worldscientific.com/worldscibooks/10.1142/p812

U2 - 10.1142/9781848168008

DO - 10.1142/9781848168008

M3 - Chapter

SN - 9781848168008

SP - 9

EP - 32

BT - Flexoelectricity in liquid crystals

A2 - Buka, A.

A2 - Eber, N.

ER -