Hostname: page-component-8448b6f56d-jr42d Total loading time: 0 Render date: 2024-04-19T08:09:26.243Z Has data issue: false hasContentIssue false
  • English
  • Français

Disclination Shape Analysis for Nematic Liquid Crystals under Micron-range Capillary Confinement

Published online by Cambridge University Press:  10 April 2013

Alireza Shams ,
Xuxia Yao ,
Jung Ok Park ,
Mohan Srinivasarao  and
Alejandro D. Rey
Alireza Shams
Affiliation:
Department of Chemical Engineering, McGill University, Montreal, Quebec H3A 2B2, Canada
Xuxia Yao
Affiliation:
School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA
Jung Ok Park
Affiliation:
School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA Center for Advanced Research on Optical Microscopy, Georgia Institute of Technology, Atlanta, GA 30332, USA
Mohan Srinivasarao
Affiliation:
School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA Center for Advanced Research on Optical Microscopy, Georgia Institute of Technology, Atlanta, GA 30332, USA School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, GA 30332, USA
Alejandro D. Rey
Affiliation:
Department of Chemical Engineering, McGill University, Montreal, Quebec H3A 2B2, Canada
Get access

Abstract

Nematic liquid crystals (NLCs) under micron-range confinement exhibit a rich defect phenomenology that can be used to extract elastic (Frank moduli) material parameters of critical importance for next generation electro-optical devices. In this work we develop a model to predict defect-driven textural transformations that arise when a NLC is confined to a circular capillary. In the initial transformation stage an unstable disclination defect of strength +1 nucleates in the axis of the capillary and quickly branches into two stable +1/2 disclination defects. The model includes: (1) the Kirchhoff branch balance equation which predicts the splitting of a +1 into two +1/2 wedge disclinations; (2) the curvature of the +1/2 disclination lines as a function of elastic properties. This model shows that by increasing the ratio of tension strength to bending stiffness, the branch point angle increases, but the final defect distance decreases; and (3) the aperture branching angle of the +1/2 lines as a function of the elastic properties and the magnitude of the curvature at the branch point. These three predictions form the basis for the evaluation of the Frank elastic moduli on NLCs. The key advantage of the implemented methodology is to use time-dependent textural transformations under micron-range capillary confinement to extract elastic parametric data needed to further develop NLCs in functional and structural application.

Keywords

self-assemblyliquid crystaldefects
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1526: Symposium TT – Defects and Microstructure Complexity in Materials , 2013 , mrsf12-1526-tt03-10
Copyright
Copyright © Materials Research Society 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

de Gennes, P. G., P.G. The physics of liquid crystals, Clarendon, 2 nd ed., Oxford (1974).Google Scholar
De Luca, G., G. and Rey, A. D., J. Phys. Chem., 2007, 126, 094907/1 (2007).CrossRefGoogle Scholar
De Luca, G., G. and Rey, A. D., J. Phys. Chem., 2007, 127, 104902/1 (2007).CrossRefGoogle Scholar
Ondris-Crawford, R. J., Crawford, G. P., Zumer, S. and Doane, J. W., Phys. Rev. Letters, 70 (2), 194 (1993).CrossRefGoogle Scholar
Kossyrev, P. A., and Crawford, G. P., Molecular Crystals and Liquid Crystals, 2000, 351, 379 (2000).Google Scholar
Crawford, G. P. and Zumer, S., Eds. Liquid Crystals in Complex Geometries: Formed by Polymer and Porous Networks, Taylor & Francis, London (1996).Google Scholar
Murayama, M., Howe, J. M., Hidaka, H., Takaki, S., Science, 29, 2433 (2002)CrossRefGoogle Scholar
Shams, A., Yao, X., Park, J. O., Sirinivasarao, M., Rey, A. D., Soft Matter, 10.1039/c2sm26595h (2012).Google Scholar
Svenšek, D. and Žumer, S., Phys. Rev. E, 70, 040701/1 (2004).10.1103/PhysRevE.70.040701CrossRefGoogle Scholar
Osterman, N., Kotar, J., Terentjev, E. M. and Cicuta, P., P. Phys. Rev. E, 81, 031713/1 (2010)Google Scholar
Yan, J. and Rey, A. D., Carbon, 40, 2647 (2002).CrossRefGoogle Scholar
Kleinert, H., Gauge Fields in Condensed Matter, World Scientific, Singapore (1989).10.1142/0356CrossRefGoogle Scholar
Paul, C. R., Fundamentals of Electric Circuit Analysis, John Wiley & Sons, New York (2001).Google Scholar
Rey, A. D., Phys. Rev. E: Nonlinear, Soft Matter Phys., 67, 011706/1 (2003).CrossRefGoogle Scholar
Gurtin, M. E., Thermomechanics of Evolving Phase Boundaries in the Plane, Clarendon, Oxford (1993).Google Scholar
Ludu, A., Nonlinear Waves and Solitons on Contours and Closed Surfaces, Springer-Verlag, Berlin (2007).Google Scholar
Kleman, M., Points, Lines and Walls: In Liquid Crystals, Magnetic Systems and Various Ordered Media, Wiley, New York (1983).Google Scholar