TY - JOUR

T1 - Magnetic field-induced macroscopic alignment of liquid-crystalline lanthanide complexes

AU - Аксенова, Елена Валентиновна

AU - Ковшик, Александр Петрович

AU - Рюмцев, Евгений Иванович

AU - Добрун, Лилия Александровна

AU - Тамбовцев, Иван Михайлович

PY - 2019/10

Y1 - 2019/10

N2 - 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.

AB - 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.

KW - Basin-hopping method

KW - Direct minimization method

KW - Lanthanidomesogens

KW - Liquid crystals

KW - Surface anchoring

UR - http://www.scopus.com/inward/record.url?scp=85073430934&partnerID=8YFLogxK

U2 - 10.3390/cryst9100499

DO - 10.3390/cryst9100499

M3 - Article

AN - SCOPUS:85073430934

VL - 9

JO - Liquid Crystals Today

JF - Liquid Crystals Today

SN - 1358-314X

IS - 10

M1 - 499

ER -