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Open AccessArticle

Magnetic Field-Induced Macroscopic Alignment of Liquid-Crystalline Lanthanide Complexes

Saint Petersburg State University, 7-9 Universitetskaya Emb., 199034 Saint Petersburg, Russia
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Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Crystals 2019, 9(10), 499; https://doi.org/10.3390/cryst9100499
Received: 20 August 2019 / Revised: 21 September 2019 / Accepted: 23 September 2019 / Published: 25 September 2019
(This article belongs to the Special Issue Localized Optical Modes in Liquid Crystals)
We propose a theoretical approach and a numerical method for determining the Frank elastic constants based on the experimental dependence of the effective values of the permittivity components on the magnetic field. The theoretical task was to find the minimum of the free energy and then to solve the inverse problem on finding elastic constants by the least squares root minimizing with experimental data. The proposed approach combines strong and weak models with various pretilt conditions at the boundaries. This model also describes the inhomogeneity of the electric field inside the sample. The proposed method allows to achieve higher accuracy using a small amount of experimental data. This statement is confirmed by the error estimation study, which is also presented in this research. As an experimental sample, we used the gadolinium-based liquid crystal complex, since there are no data on the Frank elastic constants for this complex. View Full-Text
Keywords: liquid crystals; surface anchoring; lanthanidomesogens; direct minimization method; basin-hopping method liquid crystals; surface anchoring; lanthanidomesogens; direct minimization method; basin-hopping method
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Aksenova, E.; Dobrun, L.; Kovshik, A.; Ryumtsev, E.; Tambovtcev, I. Magnetic Field-Induced Macroscopic Alignment of Liquid-Crystalline Lanthanide Complexes. Crystals 2019, 9, 499.

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