Homeotropic nano-particle assembly on degenerate planar nematic interfaces: films and droplets
Abstract
A continuum theory is used to study the effects of homeotropic nano-particles on degenerate planar liquid crystal interfaces. Particle self-assembly mechanisms are obtained from careful examination of particle configurations on a planar film and on a spherical droplet. The free energy functional that describes the system is minimized according to Ginzburg–Landau and stochastic relaxations. The interplay between elastic and surface distortions and the desire to minimize defect volumes (boojums and half-Saturn rings) is shown to be responsible for the formation of intriguing ordered structures. As a general trend, the particles prefer to localize at defects to minimize the overall free energy. However, multiple metastable configurations corresponding to local minima can be easily observed due to the high energy barriers that separate distinct particle arrangements. Finally, we show that by controlling anchoring strength and temperature one can direct liquid-crystal mediated nanoparticle self-assembly along well defined pathways.
- Authors:
-
- Univ. of Chicago, IL (United States)
- Univ. of Chicago, IL (United States); Univ. Nacional de Columbia, Sede Medellin (Columbia)
- Publication Date:
- Research Org.:
- Univ. of Wisconsin, Madison, WI (United States); Univ. of Chicago, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); Consejo Nacional de Ciencia y Tecnología in Mexico (CONACyT); Universidad Nacional de Colombia
- OSTI Identifier:
- 1603434
- Grant/Contract Number:
- SC0004025; AC02-06CH11357; 110-165-843-748
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Soft Matter
- Additional Journal Information:
- Journal Volume: 11; Journal Issue: 25; Journal ID: ISSN 1744-683X
- Publisher:
- Royal Society of Chemistry
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; liquid crystals; Landau-de genes; Ginzburg-Landau relaxation; monte-carlo; nanoscale assembly
Citation Formats
Londoño-Hurtado, Alejandro, Armas-Pérez, Julio C., Hernández-Ortiz, Juan P., and de Pablo, Juan J. Homeotropic nano-particle assembly on degenerate planar nematic interfaces: films and droplets. United States: N. p., 2015.
Web. doi:10.1039/C5SM00940E.
Londoño-Hurtado, Alejandro, Armas-Pérez, Julio C., Hernández-Ortiz, Juan P., & de Pablo, Juan J. Homeotropic nano-particle assembly on degenerate planar nematic interfaces: films and droplets. United States. https://doi.org/10.1039/C5SM00940E
Londoño-Hurtado, Alejandro, Armas-Pérez, Julio C., Hernández-Ortiz, Juan P., and de Pablo, Juan J. Wed .
"Homeotropic nano-particle assembly on degenerate planar nematic interfaces: films and droplets". United States. https://doi.org/10.1039/C5SM00940E. https://www.osti.gov/servlets/purl/1603434.
@article{osti_1603434,
title = {Homeotropic nano-particle assembly on degenerate planar nematic interfaces: films and droplets},
author = {Londoño-Hurtado, Alejandro and Armas-Pérez, Julio C. and Hernández-Ortiz, Juan P. and de Pablo, Juan J.},
abstractNote = {A continuum theory is used to study the effects of homeotropic nano-particles on degenerate planar liquid crystal interfaces. Particle self-assembly mechanisms are obtained from careful examination of particle configurations on a planar film and on a spherical droplet. The free energy functional that describes the system is minimized according to Ginzburg–Landau and stochastic relaxations. The interplay between elastic and surface distortions and the desire to minimize defect volumes (boojums and half-Saturn rings) is shown to be responsible for the formation of intriguing ordered structures. As a general trend, the particles prefer to localize at defects to minimize the overall free energy. However, multiple metastable configurations corresponding to local minima can be easily observed due to the high energy barriers that separate distinct particle arrangements. Finally, we show that by controlling anchoring strength and temperature one can direct liquid-crystal mediated nanoparticle self-assembly along well defined pathways.},
doi = {10.1039/C5SM00940E},
journal = {Soft Matter},
number = 25,
volume = 11,
place = {United States},
year = {Wed May 20 00:00:00 EDT 2015},
month = {Wed May 20 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
Multidimensional Director Modeling Using the Q Tensor Representation in a Liquid Crystal Cell and Its Application to the π Cell with Patterned Electrodes
journal, January 1999
- Mori, Hiroyuki; Gartland, Eugene C.; Kelly, Jack R.
- Japanese Journal of Applied Physics, Vol. 38, Issue Part 1, No. 1A
Biomolecular Interactions at Phospholipid-Decorated Surfaces of Liquid Crystals
journal, December 2003
- Brake, J. M.
- Science, Vol. 302, Issue 5653
Characterization of Adsorbate-Induced Ordering Transitions of Liquid Crystals within Monodisperse Droplets
journal, August 2009
- Gupta, Jugal K.; Zimmerman, Jacob S.; de Pablo, Juan J.
- Langmuir, Vol. 25, Issue 16
Director Configuration of Liquid-Crystal Droplets Encapsulated by Polyelectrolytes
journal, May 2010
- Zou, Jianhua; Fang, Jiyu
- Langmuir, Vol. 26, Issue 10
Hybrid Aligned Nematic Films with Horizontally Degenerated Boundary Conditions and Saddle-Splay Elastic Term
journal, January 1991
- Lavrentovich, O. D.
- Physica Scripta, Vol. T39
Hybrid Aligned Nematics and second order elasticity
journal, February 1991
- Sparavigna, A.; Komitov, L.; Strigazzi, A.
- Physica Scripta, Vol. 43, Issue 2
Liquid-crystal-mediated self-assembly at nanodroplet interfaces
journal, May 2012
- Moreno-Razo, J. A.; Sambriski, E. J.; Abbott, N. L.
- Nature, Vol. 485, Issue 7396
Chemoresponsive assemblies of microparticles at liquid crystalline interfaces
journal, January 2010
- Koenig, G. M.; Lin, I. -H.; Abbott, N. L.
- Proceedings of the National Academy of Sciences, Vol. 107, Issue 9
Effects of anchoring strength on the diffusivity of nanoparticles in model liquid-crystalline fluids
journal, January 2011
- Moreno-Razo, J. A.; Sambriski, E. J.; Koenig, G. M.
- Soft Matter, Vol. 7, Issue 15
Nematic-Field-Driven Positioning of Particles in Liquid Crystal Droplets
journal, November 2013
- Whitmer, Jonathan K.; Wang, Xiaoguang; Mondiot, Frederic
- Physical Review Letters, Vol. 111, Issue 22
Endotoxin-Induced Structural Transformations in Liquid Crystalline Droplets
journal, May 2011
- Lin, I. -H.; Miller, D. S.; Bertics, P. J.
- Science, Vol. 332, Issue 6035
Physics of colloidal dispersions in nematic liquid crystals
journal, October 2001
- Stark, Holger
- Physics Reports, Vol. 351, Issue 6
Defect Structure around Two Colloids in a Liquid Crystal
journal, December 2003
- Guzmán, O.; Kim, E. B.; Grollau, S.
- Physical Review Letters, Vol. 91, Issue 23
Nanoparticles in nematic liquid crystals: Interactions with nanochannels
journal, September 2007
- Hung, Francisco R.; Gettelfinger, Brian T.; Koenig, Gary M.
- The Journal of Chemical Physics, Vol. 127, Issue 12
Anisotropic nanoparticles immersed in a nematic liquid crystal: Defect structures and potentials of mean force
journal, July 2006
- Hung, Francisco R.; Guzmán, Orlando; Gettelfinger, Brian T.
- Physical Review E, Vol. 74, Issue 1
Entangled Nematic Colloidal Dimers and Wires
journal, December 2007
- Ravnik, M.; Škarabot, M.; Žumer, S.
- Physical Review Letters, Vol. 99, Issue 24
Two-Dimensional Nematic Colloidal Crystals Self-Assembled by Topological Defects
journal, August 2006
- Musevic, I.
- Science, Vol. 313, Issue 5789
Bonded Boojum-Colloids in Nematic Liquid Crystals
journal, August 2013
- Eskandari, Zahra; Silvestre, Nuno M.; Telo da Gama, Margarida M.
- Langmuir, Vol. 29, Issue 33
Particle selection through topographic templates in nematic colloids
journal, January 2014
- Eskandari, Z.; Silvestre, N. M.; Telo da Gama, M. M.
- Soft Matter, Vol. 10, Issue 48
Liquid Crystal-Based Emulsions for Synthesis of Spherical and Non-Spherical Particles with Chemical Patches
journal, April 2013
- Mondiot, Frédéric; Wang, Xiaoguang; de Pablo, Juan J.
- Journal of the American Chemical Society, Vol. 135, Issue 27
Physics of liquid crystals
journal, October 1974
- Stephen, Michael J.; Straley, Joseph P.
- Reviews of Modern Physics, Vol. 46, Issue 4
Molecular Description of Nematic Liquid Crystals
journal, December 1970
- Lubensky, T. C.
- Physical Review A, Vol. 2, Issue 6
Elastic and flow properties of biaxial nematics
journal, November 1981
- Saupe, A.
- The Journal of Chemical Physics, Vol. 75, Issue 10
Structure of the elastic free energy for chiral nematic liquid crystals
journal, February 1989
- Longa, L.; Trebin, H. -R.
- Physical Review A, Vol. 39, Issue 4
An extension of the Landau-Ginzburg-de Gennes theory for liquid crystals
journal, November 1987
- Longa, L.; Monselesan, D.; Trebin, H. -R.
- Liquid Crystals, Vol. 2, Issue 6
Novel surface phase transition in nematic liquid crystals: Wetting and the Kosterlitz-Thouless transition
journal, December 1985
- Sluckin, T. J.; Poniewierski, A.
- Physical Review Letters, Vol. 55, Issue 26
Stability and Instability of an Uniaxial Alignment Against Biaxial Distortions in the Isotropic and Nematic Phases of Liquid Crystals
journal, January 1992
- Kaiser, P.; Wiese, W.; Hess, S.
- Journal of Non-Equilibrium Thermodynamics, Vol. 17, Issue 2
Numerical method of lines for the relaxational dynamics of nematic liquid crystals
journal, August 2008
- Bhattacharjee, A. K.; Menon, Gautam I.; Adhikari, R.
- Physical Review E, Vol. 78, Issue 2
Fluctuating dynamics of nematic liquid crystals using the stochastic method of lines
journal, July 2010
- Bhattacharjee, A. K.; Menon, Gautam I.; Adhikari, R.
- The Journal of Chemical Physics, Vol. 133, Issue 4
Constitutive Equation for Nematic Liquid Crystals under Weak Velocity Gradient Derived from a Molecular Kinetic Equation
journal, October 1983
- Kuzuu, Nobu; Doi, Masao
- Journal of the Physical Society of Japan, Vol. 52, Issue 10
Defect structures and three-body potential of the mean force for nanoparticles in a nematic host: Nanoparticles in a Nematic Host
journal, March 2005
- Guzmán, O.; Abbott, N. L.; de Pablo, J. J.
- Journal of Polymer Science Part B: Polymer Physics, Vol. 43, Issue 8
Quenched disorder in a liquid-crystal biosensor: Adsorbed nanoparticles at confining walls
journal, May 2005
- Guzmán, O.; Abbott, N. L.; de Pablo, J. J.
- The Journal of Chemical Physics, Vol. 122, Issue 18
Slow dynamics of thin nematic films in the presence of adsorbed nanoparticles
journal, January 2005
- Grollau, S.; Guzmán, O.; Abbott, N. L.
- The Journal of Chemical Physics, Vol. 122, Issue 2
The theory of liquid crystals
journal, January 1933
- Oseen, C. W.
- Transactions of the Faraday Society, Vol. 29, Issue 140
I. Liquid crystals. On the theory of liquid crystals
journal, January 1958
- Frank, F. C.
- Discussions of the Faraday Society, Vol. 25
Inequalities in Liquid Crystal Theory
journal, January 1966
- Ericksen, J. L.
- Physics of Fluids, Vol. 9, Issue 6
Instability of radial hedgehog configurations in nematic liquid crystals under Landau–de Gennes free-energy models
journal, January 1999
- Gartland, E. C.; Mkaddem, S.
- Physical Review E, Vol. 59, Issue 1
Surface waves in nematic liquid crystals
journal, November 1969
- Papoular, M.; Rapini, A.
- Solid State Communications, Vol. 7, Issue 22
Disorientation-induced disordering at a nematic-liquid-crystal–solid interface
journal, November 1992
- Nobili, M.; Durand, G.
- Physical Review A, Vol. 46, Issue 10
Mesoscopic modelling of colloids in chiral nematics
journal, January 2010
- Ravnik, Miha; Alexander, Gareth P.; Yeomans, Julia M.
- Faraday Discuss., Vol. 144
Two-dimensional dipolar nematic colloidal crystals
journal, November 2007
- Škarabot, M.; Ravnik, M.; Žumer, S.
- Physical Review E, Vol. 76, Issue 5
Quadrupolar particles in a nematic liquid crystal: Effects of particle size and shape
journal, February 2009
- Hung, Francisco R.
- Physical Review E, Vol. 79, Issue 2
Modeling planar degenerate wetting and anchoring in nematic liquid crystals
journal, November 2005
- Fournier, J. -B; Galatola, P.
- Europhysics Letters (EPL), Vol. 72, Issue 3
Topological defects in dispersed words and worlds around liquid crystals, or liquid crystal drops
journal, January 1998
- Lavrentovich, O. D.
- Liquid Crystals, Vol. 24, Issue 1
Effect of flexoelectricity and order electricity on defect cores in nematic droplets
journal, January 2011
- Porenta, Tine; Ravnik, Miha; Zumer, Slobodan
- Soft Matter, Vol. 7, Issue 1
Director configurations in nematic droplets with inhomogeneous boundary conditions
journal, September 2005
- Prishchepa, O. O.; Shabanov, A. V.; Zyryanov, V. Ya.
- Physical Review E, Vol. 72, Issue 3
Transformation of director configuration upon changing boundary conditions in droplets of nematic liquid crystal
journal, March 2004
- Prischepa, O. O.; Shabanov, A. V.; Zyryanov, V. Ya.
- Journal of Experimental and Theoretical Physics Letters, Vol. 79, Issue 6
Deuterium NMR of polymer dispersed liquid crystals
journal, January 1988
- Golemme, A.; Zumer, S.; Doane, J. W.
- Physical Review A, Vol. 37, Issue 2
Liquid crystal nanodroplets, and the balance between bulk and interfacial interactions
journal, January 2012
- Hernández, S. I.; Moreno-Razo, J. A.; Ramírez-Hernández, A.
- Soft Matter, Vol. 8, Issue 5
Structure and dynamics of a Gay–Berne liquid crystal confined in cylindrical nanopores
journal, June 2009
- Ji, Qing; Lefort, Ronan; Busselez, Rémi
- The Journal of Chemical Physics, Vol. 130, Issue 23
A computer simulation study of the formation of liquid crystal nanodroplets from a homogeneous solution
journal, January 2007
- Berardi, Roberto; Costantini, Alberto; Muccioli, Luca
- The Journal of Chemical Physics, Vol. 126, Issue 4
Orientational multiplicity and transitions in liquid crystalline droplets
journal, February 2007
- Goyal, Rajesh K.; Denn, Morton M.
- Physical Review E, Vol. 75, Issue 2
Liquid crystal nanodroplets in solution
journal, January 2009
- Brown, W. Michael; Petersen, Matt K.; Plimpton, Steven J.
- The Journal of Chemical Physics, Vol. 130, Issue 4
Anchoring transition and influence of director fluctuations in liquid crystal droplets
journal, December 2009
- Sai Preeti, G.; Satyavathi, N.; Murthy, K. P. N.
- Liquid Crystals, Vol. 36, Issue 12
Computer Simulations of Nematic Droplets with Toroidal Boundary Conditions
journal, October 1992
- Chiccoli, C.; Pasini, P.; Semeria, F.
- Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, Vol. 221, Issue 1
Monte Carlo Simulation of the Director Field of a Nematic Liquid Crystal with Three Elastic Coefficients
journal, January 1996
- Gruhn, T.; Hess, S.
- Zeitschrift für Naturforschung A, Vol. 51, Issue 1-2
Monte Carlo simulation of topological defects in the nematic liquid crystal matrix around a spherical colloid particle
journal, November 1997
- Ruhwandl, R. W.; Terentjev, E. M.
- Physical Review E, Vol. 56, Issue 5
Flow induced deformation of defects around nanoparticles and nanodroplets suspended in liquid crystals
journal, January 2010
- Gettelfinger, Brian T.; Moreno-Razo, José Antonio; Koenig Jr, Gary M.
- Soft Matter, Vol. 6, Issue 5
Modeling flows of confined nematic liquid crystals
journal, April 2011
- Hernández-Ortiz, Juan P.; Gettelfinger, Brian T.; Moreno-Razo, Jose
- The Journal of Chemical Physics, Vol. 134, Issue 13
An effective-colloid pair potential for Lennard-Jones colloid–polymer mixtures
journal, February 2003
- Guzmán, Orlando; de Pablo, Juan J.
- The Journal of Chemical Physics, Vol. 118, Issue 5
Liquid Crystal Mediated Interactions Between Nanoparticles in a Nematic Phase
journal, March 2012
- Tomar, V.; Roberts, T. F.; Abbott, N. L.
- Langmuir, Vol. 28, Issue 14
Reversible Switching of Liquid Crystalline Order Permits Synthesis of Homogeneous Populations of Dipolar Patchy Microparticles
journal, August 2014
- Wang, Xiaoguang; Miller, Daniel S.; de Pablo, Juan J.
- Advanced Functional Materials, Vol. 24, Issue 39
Using Liquid Crystals to Reveal How Mechanical Anisotropy Changes Interfacial Behaviors of Motile Bacteria
journal, July 2014
- Mushenheim, Peter C.; Trivedi, Rishi R.; Weibel, Douglas B.
- Biophysical Journal, Vol. 107, Issue 1
Design of Functional Materials Based on Liquid Crystalline Droplets
journal, September 2013
- Miller, Daniel S.; Wang, Xiaoguang; Abbott, Nicholas L.
- Chemistry of Materials, Vol. 26, Issue 1
Morphological transitions in liquid crystal nanodroplets
journal, January 2012
- Tomar, V.; Hernández, S. I.; Abbott, N. L.
- Soft Matter, Vol. 8, Issue 33
Continuous Nematic-Isotropic Transition in Submicron-Size Liquid-Crystal Droplets
journal, December 1988
- Golemme, A.; Zumer, S.; Allender, D. W.
- Physical Review Letters, Vol. 61, Issue 26
Nanoparticle self-assembly at the interface of liquid crystal droplets
journal, April 2015
- Rahimi, Mohammad; Roberts, Tyler F.; Armas-Pérez, Julio C.
- Proceedings of the National Academy of Sciences, Vol. 112, Issue 17
Works referencing / citing this record:
Fluctuations and phase transitions of uniaxial and biaxial liquid crystals using a theoretically informed Monte Carlo and a Landau free energy density
journal, March 2019
- Villada-Gil, Stiven; Palacio-Betancur, Viviana; Armas-Pérez, Julio C.
- Journal of Physics: Condensed Matter, Vol. 31, Issue 17