Magnetic field-induced macroscopic alignment of liquid-crystalline lanthanide complexes

Елена Валентиновна Аксенова, Александр Петрович Ковшик, Евгений Иванович Рюмцев, Лилия Александровна Добрун, Иван Михайлович Тамбовцев

Research output

2 Citations (Scopus)


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.

Original languageEnglish
Article number499
Number of pages15
Issue number10
Publication statusPublished - Oct 2019

Scopus subject areas

  • Condensed Matter Physics
  • Materials Science(all)
  • Chemical Engineering(all)

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