Chiral Phases in a System of Biaxial Molecules Ⅱ：Examining the Assembly of Rod-like Molecules

Volume 6, Issue 1, February 2021     |     PP. 21-47      |     PDF (1463 K)    |     Pub. Date: March 7, 2021
DOI: 10.54647/chemistry15182    155 Downloads     5699 Views  

Author(s)

Masahito Hosino, Norikura 1-1303-2, Midori-ku, Nagoya 458-0004, Japan.
Keisuke Ijuin, Norikura 1-1303-2, Midori-ku, Nagoya 458-0004, Japan.

Abstract
One of the authors of the present study has already investigated chiral phases in a system of biaxial molecules based on the theory of biaxial liqid crystals, which introduced in a previous work. In the earlier investigation, we assumed that the direction of the orientational ordering of the molecular long axis is perpendicular to the axis of the spiral structure. In this article, our premise is that this is not perpendicular to the axis of the spiral structure. In this assumption, the free energy of the system depends on the angle between the direction of orientational ordering of the long axis and the axis of the spiral. The equilibrium value of this angle is determined based on the obtained free energy. As a result, we can show the presence of the cholesteric phase, new chiral phases, and the possible appearance of a twist-bend nematic phase.

Keywords
cholesteric phase, new chiral phases, twist-bend nematic phase

Cite this paper
Masahito Hosino, Keisuke Ijuin, Chiral Phases in a System of Biaxial Molecules Ⅱ：Examining the Assembly of Rod-like Molecules , SCIREA Journal of Chemistry. Volume 6, Issue 1, February 2021 | PP. 21-47. 10.54647/chemistry15182

References

[ 1 ] van der Meer, B.W. (1979). Doctoral Thesis (in Dutch), Groningen Univ.:Groningen, NED.
[ 2 ] Kimura, H., Hosino, M., & Nakano, H. (1979). J. Phys.(Paris),40,C3–173.
[ 3 ] Kimura, H., Hosino, M., & Nakano, H. (1982). J. Phys. Soc. Jpn, 51, 1584.
[ 4 ] Hosino, M.(2017). Mol. Cryst. Liq. Cryst.,658:1, 92.
[ 5 ] Yu, L.J., & Saupe, A. (1980). Phys. Rev. Lett., 45, 1000.
[ 6 ] Saupe, A., Broonbrahm, P., & Yu, L.J. (1983). J. Chem. Phys., 80, 7.
[ 7 ] Chandrasekhar, S., Sadashiva, B.K., Ramesha, S., & Srikanta, B.S. (1986). Pramana, 27, L713.
[ 8 ] Chandrasekhar, S., Sadashiva, B.K., & Suresh, K.A. (1977). Pramana, 9, 471.
[ 9 ] Beguin, A., Billard, J., Dubois, J.C., Nguyen Huu Tinh, & Zann, A. (1979). J. Phys.(Paris), 40, C3–15.
[ 10 ] Destrade, C., Moncton, M.C., & Malthete, J. (1979). J. Phys. (Paris), 40, C3–17.
[ 11 ] Freiser, M.J. (1970). Phys. Rev. Lett., 24, 1041.
[ 12 ] Straley, J.P. (1974). Phys. Rev. A, 10, 1881.
[ 13 ] Hosino, M. & Nakano, H. (2000). Mol. Cryst. Liq. Cryst.,348:1, 207.
[ 14 ] Sonnet, A.M., Virga, E.G., & Durand, G.E. (2003). Phys. Rev. E, 67, 061701–1.
[ 15 ] Priest, R.G. & Lubensky, T.C.(1974). Phys. Rev. A, 9, 893.
[ 16 ] Hosino, M. (2017). Mol. Cryst. Liq. Cryst.,658:1, 1.
[ 17 ] Borshch, V. et.al. (2013). Nature Commnu., 4, 2635.
[ 18 ] Nakano, H. & Hattori, M. (1973). Prog. Theor. Phys., 49, 1752.
[ 19 ] Nakano, H. & Kimura, H. (1988). Statistical Thermodynamics of Phase Transitions (in Japanese), Asakura: Tokyo, JPN.
[ 20 ] Zwanzig, R. J. (1963). Chem. Phys., 39, 1714.
[ 21 ] van der Meer, B.W. & Vertogen, G. (1976). Phys. Lett.,59A, 279.
[ 22 ] Hosino,M. (1981). Doctoral Thesis (in Japanese), Dept. Appl. Phys., Nagoya Univ.: Nagoya, Japan.
[ 23 ] Fukuda, A. & Takezoe, H. (1990). Structures and Properties of Ferroelectric Liquid Crystals (in Japanese), Corona Publishing Co. Ltd.: Tokyo, JPN.
[ 24 ] van der Meer, B.W. & Vertogen, G. (1979). J. Phys. (Paris), 40, C3–222.