Keywords
anchoring strength
director alignment
How to Cite
Abstract
Formulae used for description of anchoring energy of nematic liquid crystal aligned on solid substrates are reviewed. They are based on macroscopic approach considering the concepts of the easy axis and of the anchoring strength parameters. Properties of the modified formula proposed in our earlier article are illustrated by exemplary plots which allows for comparison with other formulae. The modified formula describes the dependence of energy on the azimuthal and polar deviation of director from the easy axis and is valid qualitatively for deviation of any magnitude.
References
Rapini A., Papoular M. 1969. Distorsion d'une lamelle nematique sous champ magnetique conditions d'ancrage aux parois. J. Phys. (Paris), Colloq. 30 (C4): C4-54 - C4-56.
Jerome B. 1998. Surface Alignment in Handbook of liquid crystals, eds. Demus D., Goodby J., Gray G.W., Spiess H.-W., Vill V. 535-548. Weinheim: Wiley-VCH.
Barbero G., Evangelista L.R. 2006. Adsorption phenomena and anchoring energy in nematic liquid crystals. Boca Raton: CRC Press.
Pasechnik S.V., Chigrinov V.G., Shmeliova D.V. 2009. Liquid crystals. Weinheim: Wiley-VCH.
Vicari L. 2003. Optical applications of liquid crystals. Bristol and Philadelphia: IOP Publishing Ltd.
Ataalla R.M.S., Barbero G., Komitov L.J. 2013. Thickness dependence of the anchoring energy of a nematic cell. Appl. Phys. 113: 1645501-1 - 1645501-4.
Newton C.J.P., Iovane M., Duhem O., Barberi R., Lombardo G., Spiller T.P. Anchoring energy measurements: a Practical Approach. HP Labs Technical Reports. http:// www.hpl.hp.com/ techreports/2000/HPL-2000-113.html
Vilfan M., Copic M. 2003. Azimuthal and zenithal anchoring of nematic liquid crystals. Phys. Rev. E 68: 031704 -1 - 031704-5.
Lin B., Taylor P.L. 1994. Temperature-driven polar anchoring transitions in nematic liquid crystals: computer simulations. J. Phys. II France 4: 825-836.
Nastishin Yu.A., Polak R.D., Shiyanovskii S.V., Lavrentovich O.D. 1999. Determination of nematic polar anchoring from retardation versus voltage measurements. Appl. Phys. Lett. 75: 202-204.
Fournier J.-B., Galatola P. 2000. Effective anchoring and scaling in nematic liquid crystals. Eur. Phys. J. E 2: 59-65.
Hirning R., Funk W., Trebin J.-R., Schmidt M., Schmiedel H. 1991. Threshold behavior and electro-optical properties of twisted nematic layers with weak anchoring in the tilt and twist angle. J. Appl. Phys. 70: 4211-4216.
Barnik M.I., Blinov L.M., Korkishko T.V., Umanskii V.A. Chigrinov V.G. 1983. New type of boundary conditions for orientation deformations in homeotropic layers of nematic liquid crystals. Sov. Phys. JETP. 58: 102-107.
Zhao W., Wu C.-X., Iwamoto M. 2000. Analysis of weak-anchoring effect in nematic liquid crystals. Phys Rev. E 62: R1481- R1484.
Derfel G., Buczkowska M. 2015. Electric field induced deformations of twisted flexoelectric nematic layers. Liq. Cryst. 42: 1213-1220.