Mean-field coefficients and the electroclinic effect of a ferroelectric liquid crystal

F. Gieβelmann; P. Zugenmaier

doi:10.1103/PhysRevE.52.1762

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Mean-field coefficients and the electroclinic effect of a ferroelectric liquid crystal

F. Gieβelmann and P. Zugenmaier

Institute of Physical Chemistry, Technical University Clausthal, D-38678 Clausthal-Zellerfeld, Germany

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Phys. Rev. E 52, 1762 – Published 1 August, 1995

DOI: https://doi.org/10.1103/PhysRevE.52.1762

Abstract

Experimental data on the temperature and electric field dependence of the tilt angle and the electroclinic effect of the smectic- $C^{*}$ (Sm- $C^{*}$ ) and the smectic- $A^{*}$ (Sm- $A^{*}$ ) phases are presented which have been obtained by electrooptical investigations on the ferroelectric liquid crystal mixture FLC 6430 from Hoffmann–La Roche, Basle, Switzerland. The data are analyzed according to the generalized Landau expansion and the results of a microscopic model for spontaneous polarization. The mean-field coefficients obtained from a fit of the Landau approach to the experimental data are discussed with respect to the electroclinic effect, the specific heat singularity, and the chirality. The results support the evidence of quadrupolar ordering and biquadratic coupling for the description of the Sm- $C^{*}$ -Sm- $A^{*}$ phase transition. The Landau model is extended to temperatures far below the phase transition.

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[c1] R. B. Meyer, L. Liebert, L. Strzelecki and P. Keller, J. Phys. (Paris) Lett. 36, 69 (1975).

[c2] N. A. Clark and S. T. Lagerwall, Appl. Phys. Lett. 36, 899 (1980).

[c3] J. W. Goodby, R. Blinc, N. A. Clark, S. T. Lagerwall, M. A. Osipov, S. A. Pikin, T. Sakurai, K. Yoshino, and B. Žekš, Ferroelectric Liquid Crystals: Principles, Properties and Applications, Ferroelectricity and Related Phenomena Vol. 7 (Gordon and Breach, Philadelphia, 1991).

[c4] V. L. Indenbom, S. A. Pikin and E. B. Loginov, Kristallografiya 21, 1093 (1976) [Sov. Phys. Crystallogr. 21, 632 (1976)].

[c5] B. Žekš, Mol. Cryst. Liq. Cryst. 114, 259 (1984).

[c6] M. A. Osipov and S. A. Pikin, Mol. Cryst. Liq. Cryst. 103, 57 (1983).

[c7] B. Urbanc and B. B. Žekš, Liq. Cryst. 5, 1075 (1989).

[c8] T. Carlsson and I. Dahl, Mol. Cryst. Liq. Cryst. 95, 373 (1983).

[c9] S. Dumrongrattana, C. C. Huang, G. Nounesis, S. C. Lieu and J. M. Viner, Phys. Rev. A 34, 5010 (1986).

[c10] C. C. Huang and S. Dumrongrattana, Phys. Rev. A 34, 5020 (1986).

[c11] T. Chan, Ch. Bahr, G. Heppke and C. W. Garland, Liq. Cryst. 13, 667 (1993).

[c12] S. Garoff and R. B. Meyer, Phys. Rev. Lett. 38, 848 (1977).

[c13] G. Andersson, I. Dahl, W. Kuczynski, S. T. Lagerwall, K. Skarp and B. Stebler, Ferroelectrics 84, 285 (1988).

[c14] Ch. Bahr, G. Heppke and B. Sabaschus, Ferroelectrics 84, 103 (1988).

[c15] J. Fünfschilling and M. Schadt, Jpn. J. Appl. Phys. 30, 741 (1991).

[c16] K. H. Yang, T. C. Chieu and S. Osofsky, Appl. Phys. Lett. 55, 125 (1989).

[c17] Ch. Bahr and G. Heppke, Liq. Cryst. 2, 825 (1987).

[c18] K. Miyasato, S. Abe, H. Takezoe, and A. Fukuda, Jpn. J. Appl. Phys. Lett. 22, L-661 (1983).

[c19] C. C. Huang and J. M. Viner, Phys. Rev. A 25, 3385 (1982).

[c20] R. J. Birgenau, C. W. Garland, A. R. Kortan, J. D. Lister, M. Meichle, B. M. Ocko, C. Rosenblatt, L. J. Yu, and J. W. Goodby, Phys. Rev. A 27, 1251 (1983).

[c21] R. Meister and H. Stegemeyer, Ber. Bunsenges. Phys. Chem. 97, 1242 (1993).

[c22] F. Gie\(27elmann and P. Zugenmaier, Liq. Cryst. 14, 389 (1993).

[c23] F. Gie\(27elmann and P. Zugenmaier, Mol. Cryst. Liq. Cryst. 237, 121 (1993).

[c24] F. Gouda, T. Carlsson, G. Andersson, S. T. Lagerwall and B. Stebler, Liq. Cryst. 16, 315 (1994).

[c25] F. Gouda, K. Skarp and S. T. Lagerwall, Ferroelectrics 113, 165 (1991).

[c26] F. Gouda, K. Skarp and S. T. Lagerwall, Mol. Cryst. Liq. Cryst. 209, 99 (1991).

[c27] J. Schacht, Diploma thesis, TU Clausthal, 1993.

[c28] R. B. Meyer, Mol. Cryst. Liq. Cryst. 90, 33 (1977).

[c29] H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, Oxford, 1971). .\&

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Mean-field coefficients and the electroclinic effect of a ferroelectric liquid crystal

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