In the present work, we have calculated the electro-optical effect of the I52 (4-Ethyl-2-fluoro-4'-[2-(4-pentyl-cyclohexyl)-ethyl]-biphenyl) liquid crystal (LC) molecules under the influence of an external electric field in the THz frequency region. The electro-optical calculation has been performed with the help of a theoretical model which is developed for the organic compounds (liquid crystal), and also suitable for the terahertz (THz) device application. The theoretical model gives the electro-optical properties and correlates with experimental evidence. The birefringence, order parameter, refractive index, dipolar strength, and HOMO-LUMO of the I52 molecules have been calculated theoretically. By increasing the electric field on the molecules, the order parameter and birefringence show positive as well as negative values. The I52 LC molecule behaves as an insulator due to having a large bandgap (5.08 eV).
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