Abstract.
A vast majority of compounds with bent core or banana shaped molecules exhibit the phase sequence B6-B1-B2 as the chain length is increased in a homologous series. The B6 phase has an intercalated fluid lamellar structure with a layer spacing of half the molecular length. The B1 phase has a two dimensionally periodic rectangular columnar structure. The B2 phase has a monolayer fluid lamellar structure with molecules tilted with respect to the layer normal. Neglecting the tilt order of the molecules in the B2 phase, we have developed a frustrated packing model to describe this phase sequence qualitatively. The model has some analogy with that of the frustrated smectics exhibited by highly polar rod like molecules.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P.G. de Gennes, J. Prost, The Physics of Liquid Crystals, 2nd edn. (Clarendon Press, Oxford, 1993)
S. Chandrasekhar, Liquid Crystals, 2nd edn. (Cambridge University Press, Cambridge, 1992)
W. Maier, A. Saupe, Z. Naturforsch A 13, 564 (1958)
W.L. Mcmillan, Phys. Rev. A 4, 1238 (1971)
G.E. Feldkamp, M.A. Handschy, N.A. Clark, Phys. Lett. A 85, 356 (1981)
S. Chandrasekhar, K.L. Savithramma, N.V. Madhusudana, Liquid Crystals and Ordered fluids, edited by A.C. Griffin, J.F. Johnson (Plenum Press, New York-London, 1984) p. 299
T. Niori, T. Selkine, J. Watanabe, T. Furukawa, H. Takezoe, J. Mater. Chem. 6, 1231 (1996)
D.R. Link, G. Natale, R. Shao, J.E. Maclennan, N.A. Clark, E. Korblova, D.M. Walba, Science 278, 1924 (1997)
H.N. Shreenivasa Murthy, B.K. Sadashiva, Liq. Cryst. 29, 1223 (2002)
G. Pelzl, S. Diele, W. Weissflog, Adv. Mater. 11, 707 (1999)
Y. Takanishi, T. Izumi, J. Watanabe, K. Ishikawa, H. Takezoe, A. Iida, J. Mater. Chem. 9, 2771 (1999)
J. Szydlowska, J. Mieczkowski, J. Matraszek, D.W. Bruce, E. Gorecka, D. Pociecha, D. Guillon, Phys. Rev. E 67, 031702 (2003)
A. Roy, N.V. Madhusudana, Europhys. Lett. 39, 335 (1997)
R.A. Reddy, B.K. Sadashiva, S. Dhara, Chem Commun., 1972 (2001)
R.A. Reddy, B.K. Sadashiva, J. Mater. Chem 14, 1936 (2004)
A. Eremin, S. Diele, G. Pelzl, H. Nadasi, W. Weissflog, J. Salfetnikova, H. Kresse, Phys. Rev. E 64, 051707 (2001)
R.A. Reddy, B.K. Sadashiva, J. Mater. Chem 14, 310 (2004)
H.R. Brand, P.E. Cladis, H. Pleiner, Eur. Phys. J. B 6, 347 (1998)
A. Roy, N.V. Madhusudana, P. Toledano, A.M. Figueiredo Neto, Phys. Rev. Lett. 82, 1466 (1999)
A. Jakli, D. Kruerke, H. Sawade, G. Heppke, Phys. Rev. Lett. 86, 5715 (2001)
J.P. Bedel, J.C. Rouillon, J.P. Marcerou, H.T. Nguyen, M.F. Achard, Phys. Rev. E 69, 061702 (2004)
V.L. Lorman, B. Mettout, Phys. Rev. Lett. 82, 940 (1999)
T.C. Lubensky, L. Radzihovsky, Phys. Rev. E 66, 031704 (2002)
Y. Lansac, P.K. Maiti, N.A. Clark, M.A. Glaser, Phys. Rev. E 67, 011703 (2003)
A.S. Govind, N.V. Madhusudana, Eur. Phys. J. E 9, 107 (2002)
N.V. Madhusudana, S. Chandrasekhar, Pramana Suppl. 1, 57 (1975)
N.V. Madhusudana, R. Jyotsna, Liq. Cryst. 7, 31 (1990)
P. Barois, J. Pommier, J. Prost, Solitons in Liquid Crystals, edited by L. Lam, J. Prost (Springer-Verlag, New York, 1991), p. 191
W.H. Press, S.A. Teukolski, W.T. Vetterling, B.P. Flannery, Numerical Recipes in C, 2nd edn. (Cambridge University Press, Cambridge, 1992)
N.A. Clark, S.T. Lagerwall, Ferroelectric Liquid Crystals: Principle, Properties and applications, edited by G.W. Taylor (Gordon and Breach Science Publishers, Philadelphia, 1991), p. 19
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Roy, A., Madhusudana, N. A frustrated packing model for the B6-B1-SmAPA sequence of phases in banana shaped molecules. Eur. Phys. J. E 18, 253–258 (2005). https://doi.org/10.1140/epje/e2005-00033-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epje/e2005-00033-x