The Determination of the Elastic Constants of Nematic Liquid Crystals

Abstract The elastic constants K11 and K33 are calculated from the threshold field He associated with the Frederiks transition in a magnetic field of a uniform planar and a horneotropic layer, respectively. The elastic constant K22 is determined indirectly using a twisted planar layer.The errors associated with the determination of Hc are critically evaluated. In particular the anchoring conditions at the boundaries are found to have an important influence on Hc. Results for all three elastic constants of PAA and MBBA are given. In general our values for K11 and K33 are substantially higher than those reported in the literature.

[1]  I. Haller,et al.  Order-related properties of some nematic liquids , 1973 .

[2]  F. C. Frank,et al.  I. Liquid crystals. On the theory of liquid crystals , 1958 .

[3]  P. Cladis New Method for Measuring the Twist Elastic Constant K_{22}/χ_{a} and the Shear Viscosity γ_{1}/χ_{a} for Nematics , 1972 .

[4]  H. Gasparoux,et al.  Étude comparée des propriétés magnétiques d'échantillons de p-(p'-méthoxybenzylidène) amino-butyl benzène (MBBA) présentant des températures de transition phase nématique-phase isotrope différentes , 1973 .

[5]  F. V. D. Woude,et al.  The twist elastic constant as a function of temperature for nematic MBBA , 1976 .

[6]  M. Greulich,et al.  Bestimmung elastischer Konstanten von MBBA und EBBA mit der elektrischen Leitfähigkeitsmethode / Determination of the Elastic Constants of MBBA and EBBA by Electric Conductivity Measurements , 1975 .

[7]  A. Saupe Die Biegungselastizität der nematischen Phase von Azoxyanisol , 1960 .

[8]  Craig Maze,et al.  Determination of Nematic Liquid Crystal Elastic and Dielectric Constants from Birefringence Experiments , 1976 .

[9]  P. Gennes,et al.  The physics of liquid crystals , 1974 .

[10]  M. Gibbs,et al.  The Site of Inhibition of Iodoacetamide in Photosynthesis studied with Chloroplasts and Cell Free Preparations of Spinach , 1960, Zeitschrift fur Naturforschung. Teil B, Chemie, Biochemie, Biophysik, Biologie und verwandte Gebiete.

[11]  I. Haller Elastic Constants of the Nematic Liquid Crystalline Phase of p‐Methoxybenzylidene‐p‐n‐Butylaniline (MBBA) , 1972 .

[12]  D. Meyerhofer Field induced distortions of a liquid crystal with various surface alignments , 1975 .

[13]  F. M. Leslie,et al.  Distortion of Twisted Orientation Patterns in Liquid Crystals by Magnetic Fields , 1970 .