Magnetic Field-Induced Macroscopic Alignment of Liquid-Crystalline Lanthanide Complexes
| Autor: | Alexander P. Kovshik, Liliya A. Dobrun, Elena V. Aksenova, Evgeny I. Ryumtsev, Ivan M. Tambovtcev |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Permittivity
Materials science General Chemical Engineering 02 engineering and technology 01 natural sciences Least squares surface anchoring Inorganic Chemistry liquid crystals Liquid crystal Electric field 0103 physical sciences lcsh:QD901-999 General Materials Science 010306 general physics lanthanidomesogens Numerical analysis Experimental data direct minimization method Inverse problem 021001 nanoscience & nanotechnology Condensed Matter Physics Magnetic field Computational physics basin-hopping method lcsh:Crystallography 0210 nano-technology |
| Zdroj: | Crystals, Vol 9, Iss 10, p 499 (2019) Crystals Volume 9 Issue 10 |
| ISSN: | 2073-4352 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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