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Numerical investigation of influence of ionic space charge and flexoelectric polarization on measurements of elastic constants in nematic liquid crystals

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EN
Abstrakty
EN
Deformations of nematic layers caused by magnetic field allow determination of the elastic constants of liquid crystal. In this paper, we simulated numerically the deformations of planar and homeotropic nematic layers. The flexoelectric properties of the nematic and presence of ions were taken into account. Our aim was to show the influence of flexoelectricity on the results of the real measurement of the elastic constants k33 and k11. In these simulations, we calculated the optical phase difference Δ Φ between the ordinary and extraordinary rays of light passing through the layer placed between crossed polarizers as a function of the magnetic field induction B. One of the elastic constants can be calculated from the magnetic field threshold for deformation. The ratio k33/k11 can be found by means of fitting theoretical ΔΦ(B) dependence to the experimental results. The calculations reveal that the flexoelectric properties influence the deformations induced by the external magnetic field. In the case of highly pure samples, this may lead to false results of measurement of the elastic constants ratio k33/k11
Twórcy
autor
  • Institute of Physics, Technical University of Łódź, 219 Wólczańska Str., 90-924 Łódź, Poland, mbuczkow@p.lodz.pl
Bibliografia
  • [1] P. G. De Gennes and J. Prost: The Physics of Liquid Crystals. pp. 117-133, Clarendon Press, Oxford, 1998.
  • [2] H. Gruler, T. J. Sheffer, and G. Meier: Elastic constants of nematic liquid crystals. I. Theory of the normal deformation. Z. Naturforsch. 27A, 966-976, 1972.
  • [3] H. Gruler, T. J. Sheffer, and G. Meier: Elastic constants of nematic liquid crystals. I. Theory of the normal deformation. Z. Naturforsch. 27A, 966-976, 1972.
  • [4] J. Kędzierski, Z. Raszewski, J. Rutkowska, M. A. Kojdecki, L. Lipińska, E. Miszczyk, and J. Borycki: Method for determining material constants of nematic liquid crystals by use of wedge cells. Mol. Cryst. Liq. Cryst. 409, 301-313, 2004.
  • [5] R. B. Meyer: Piezoelectric effects in liquid crystals. Phys. Rev. Lett. 22, 918-921, 1969.
  • [6] A. G. Petrov: Measurements and interpretation of flexoelectricity. in Physical Properties of Liquid Crystals: Nematics, pp. 251-264, edited by G.D. Dunmur, A. Fukuda, and G. Luckhurst, INSPEC, London, 2001.
  • [7] G. Derfel and M. Felczak: Polarized states of hybrid aligned nematic layers. Liq. Cryst. 29, 889-897, 2002.
  • [8] H. Naito, M. Okuda, and A. Sugimura: Transient discharging processes in nematic liquid crystals. Phys. Rev. A44, R3434-3437, 1991.
  • [9] M. Y. Jin and J. J. Kim: Low-frequency dielectric relaxations of a nonchiral liquid crystal, 8CB. J. Phys. Condens. Mat. 13, 4435-4446, 2001.
  • [10] G. Derfel and A. Lipiński: Charge carrier mobility measurements in nematic liquid crystals. Mol. Cryst. Liq. Cryst. 55, 89-99, 1979.
  • [11] S. Naemura and A. Sawada: Ion generation in liquid crystals under electric field. Mol. Cryst. Liq. Cryst. 346, 155-168, 2000.
  • [12] H. de Vleeschouwer, A. Verschueren, F. Bougriona, R. Van Asselt, E. Alexander, S. Vermael, K. Neyts, and H. Pauwels: Long-term ion transport in nematic liquid crystal dislays. Jpn. J. Appl. Phys. 40, 3272-3276, 2001.
  • [13] H. J. Deuling: Elasticity of nematic liquid crystals. Liquid Crystals, Solid State Physics, Suppl. 14, pp. 77-107, edited by E. Liebert, Academic Press, New York, 1978.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWAD-0016-0029
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