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TILT ANGLE AND THE TEMPERATURE SHIFTS CALCULATED AS A FUNCTION OF CONCENTRATION FOR THE AC* PHASE TRANSITION IN A BINARY MIXTURE OF LIQUID CRYSTALS
Date
2011-05-20
Author
Yurtseven, Hasan Hamit
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We study here the tilt angle and the temperature shifts as a function of concentration for the AC* phase transition in a binary mixture, using our mean field model with the biquadratic P-2 theta(2) coupling - and also with the bilinear P theta and P-2 theta(2) couplings. By expanding the free energy in terms of the tilt angle and polarization, the tilt angle and the temperature shift, are evaluated by using the coefficients given in the free energy expansion. By employing a concentration-dependent coefficient, the tilt angle and the temperature shift are calculated as a function of concentration of 10.O.4 for the SmAC* transition in a binary mixture of C7 and 10.O.4.
Subject Keywords
Statistical and Nonlinear Physics
,
Condensed Matter Physics
URI
https://hdl.handle.net/11511/48607
Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
DOI
https://doi.org/10.1142/s0217979211058973
Collections
Department of Physics, Article
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Yurtseven, Hasan Hamit (World Scientific Pub Co Pte Lt, 2010-12-20)
We study here the Raman frequencies of the lattice modes (gamma and beta phases) and of an internal mode (gamma phase) as a function of temperature in solid nitrogen. The frequency shift, derived from the anharmonic self energy, is fitted to the experimental data for the Raman frequencies of the modes considered here in the gamma and beta phases of solid nitrogen.
THERMODYNAMIC QUANTITIES AT HIGH PRESSURES IN THE i AND theta PHASES OF SOLID NITROGEN DEDUCED BY RAMAN FREQUENCY SHIFTS FOR THE INTERNAL MODES IN LITERATURE
Yurtseven, Hasan Hamit (World Scientific Pub Co Pte Lt, 2013-04-10)
The pressure dependence of the Raman frequencies of the internal modes is analyzed (T = 300 K) for the phases i and theta of solid nitrogen using the experimental data from the literature. Through the mode Gruneisen parameter, the isothermal compressibility kappa(T), thermal expansion alpha(p) and the specific heat C-p - C-v are calculated as a function of pressure using the Raman data in these phases.
Concentration dependence of polarization for the AC* phase transition in a binary mixture of liquid crystals
Salihoglu, S; Yurtseven, Hasan Hamit; Bumin, B (World Scientific Pub Co Pte Lt, 1998-08-01)
Using mean-field theory with p(2)theta(2) coupling term in the free energy expansion, we calculate the polarization as a function of concentration for the AC* phase transition in a binary mixture of C7 and 10.O.4 liquid crystalline material. Our calculated values of polarization are in good agreement with the experimental data.
RAMAN STUDY OF BENZENE NEAR THE MELTING POINT
Yurtseven, Hasan Hamit (World Scientific Pub Co Pte Lt, 2013-06-10)
We calculate here the Raman frequencies of some lattice modes as a function of pressure at constant temperatures for the solid and liquid phases of benzene. The observed data for the molar volume from literature is used to calculate the Raman frequencies through the mode Gruneisen parameter in benzene.
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H. H. Yurtseven, “TILT ANGLE AND THE TEMPERATURE SHIFTS CALCULATED AS A FUNCTION OF CONCENTRATION FOR THE AC* PHASE TRANSITION IN A BINARY MIXTURE OF LIQUID CRYSTALS,”
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
, pp. 1791–1806, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48607.