CALCULATION OF THE TILT ANGLE AND SUSCEPTIBILITY AS FUNCTION OF TEMPERATURE AND THE ELECTRIC FIELD CLOSE TO THE SM A-SMC TRANSITION IN C7

2017-09-10
Aksoy, Sinan
Kurt, Mustafa
Yurtseven, Hasan Hamit
Smectic A – Smectic C* transition in the ferroelectric liquid crystal (C7) is studied as a function of the electric field and the temperature. By expanding the free energy in terms of the tilt angle θ (Smectic C* phase) and the polarization P with a linear coupling between θ and P (Pθ) in mean field theory, the tilt angle is calculated as a function of the electric field (θ versus E) at constant temperatures with respect to the transition temperature for C7 using the observed data from the literature. Also, by extracting the tilt angle from the observed electric displacements at various temperatures (at constant field strength) the inverse tilt angle susceptibility (), derived from the free energy, is fitted to the observed data for the dielectric constant and the fitted parameters are determined. Our calculated θ and χθ. show that the mean field theory explains adequately the observed behavior of the Smectic A – Smectic C* transition in the liquid crystals C7.
TURKISH PHYSICAL SOCIETY 33RD INTERNATIONAL PHYSICS CONGRESS, Türkiye, 6 - 10 Eylül 2017

Suggestions

Calculation of the tilt angle and susceptibility as functions of temperature and the electric field close to the Sm A - Sm C* transition in C7
AKSOY, SERKAN; Yurtseven, Hasan Hamit; KURT, MUSTAFA (Canadian Science Publishing, 2018-07-01)
Smectic A - Smectic C* transition in the ferroelectric liquid crystal (C7) is studied as a function of the electric field and the temperature. By expanding the free energy in terms of the tilt angle theta (Smectic C* phase) and the polarization P with a linear coupling between theta and P (P theta) in mean field theory, the tilt angle is calculated as a function of the electric field (theta versus E) at constant temperatures with respect to the transition temperature for C7 using the observed data from the ...
Calculation of the Dielectric Constant of a Ferroelectric Liquid Crystal From a Mean Field Model
YURTSEVEN, HASAN HAMİT; Yurtseven, Hasan Hamit (2011-01-01)
The static dielectric constant epsilon(perpendicular to) of the ferroelectric liquid crystal 4-(3-methyl-2-chlorobutanoyloxy)-4'--heptyloxybiphenyl (A7) with high spontaneous polarization is calculated as a function of temperature using a mean field model. This calculation is performed close to the smectic A-isotropic liquid (SmA-I) transition for pure optically active compound (T-c = 81.6 degrees C). For this calculation of epsilon(perpendicular to), the free energy of the SmA phase is expanded in terms of...
Calculation of the Damping Constant and the Relaxation Time for the Soft-Optic and Acoustic Mode in Hexagonal Barium Titanate
Yurtseven, Hasan Hamit (2012-01-01)
The temperature dependence of the damping constant is calculated below the transition temperature (T-0 = 222K) in the ferroelectric phase of hexagonal barium titanate. The damping constant of the coupled soft-optic and acoustic mode which causes an intense central peak in the light scattering spectra, is calculated using the soft mode-hard mode coupling model and the energy fluctuation model for barium titanate.
Calculation of the Spontaneous Polarization and the Dielectric Constant as a Function of Temperature for KH2PO4
Yurtseven, Hasan Hamit (2012-01-01)
The temperature dependence of the spontaneous polarization P is calculated in the ferroelectric phase (T < T-C) of KH2PO4 (KDP) at atmospheric pressure (T-C = 122 K). Also, the dielectric constant e is calculated at various temperatures in the paraelectric phase (T > T-C) of KDP at atmospheric pressure. For this calculation of P and epsilon, by fitting the observed Raman frequencies of the soft mode, the microscopic parameters of the pure tunnelling model are obtained. In this model, the proton-lattice inte...
Calculation of the spontaneous polarization for Pb1-xCaxTiO3 close to the tricritical point
Tari, O.; Yurtseven, Hasan Hamit (2016-01-01)
We calculate the spontaneous polarization as a function of temperature for a mixed crystal of Pb1-xCaxTiO3 close to the tricritical pointdx (x = 0.4). This calculation of the spontaneous polarization is performed using the effective field approximation for the dipolar (PbTiO3) and higher order ( quadrupolar and octopolar) interactions for the mixed system of Pb1-xCaxTiO3 at concentrations from x = 0 to x = 0.45.
Citation Formats
S. Aksoy, M. Kurt, and H. H. Yurtseven, “CALCULATION OF THE TILT ANGLE AND SUSCEPTIBILITY AS FUNCTION OF TEMPERATURE AND THE ELECTRIC FIELD CLOSE TO THE SM A-SMC TRANSITION IN C7,” presented at the TURKISH PHYSICAL SOCIETY 33RD INTERNATIONAL PHYSICS CONGRESS, Türkiye, 6 - 10 Eylül 2017, 2017, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/81720.