Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Morphological transitions in liquid crystal nanodroplets

Journal Article · · Soft Matter
DOI:https://doi.org/10.1039/C2SM25383F· OSTI ID:1623301
 [1];  [2];  [2];  [3];  [2]
  1. Univ. of Wisconsin, Madison, WI (United States); Cornell University
  2. Univ. of Wisconsin, Madison, WI (United States)
  3. National Univ. of Colombia, Medellín (Colombia)
A continuum theory is utilized to study ordering in liquid crystal nanodroplets. The free energy functional that describes the system is minimized using an Euler–Lagrange approach and an unsymmetric radial basis function method. The equilibrium morphology in nanodroplets is shown to represent a delicate balance between bulk and surface contributions; when the radius of the droplet reaches a critical value, that balance is altered and the droplet undergoes a transition. By controlling the anchoring conditions at the droplet's surface, one can control the radius where the transition occurs and even prepare metastable droplets where small perturbations can trigger a morphological transition. The findings of the theory are shown to be consistent with recent experimental observations on monodisperse nematic liquid crystal nanodroplets.
Research Organization:
Univ. of Chicago, IL (United States); Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
SC0004025
OSTI ID:
1623301
Journal Information:
Soft Matter, Journal Name: Soft Matter Journal Issue: 33 Vol. 8; ISSN SMOABF; ISSN 1744-683X
Publisher:
Royal Society of ChemistryCopyright Statement
Country of Publication:
United States
Language:
English

References (116)

Formation of Polyelectrolyte Multilayer Films at Interfaces Between Thermotropic Liquid Crystals and Aqueous Phases journal April 2006
Size-Dependent Ordering of Liquid Crystals Observed in Polymeric Capsules with Micrometer and Smaller Diameters journal January 2009
Defect structures and three-body potential of the mean force for nanoparticles in a nematic host: Nanoparticles in a Nematic Host journal March 2005
Drops and shells of liquid crystal journal January 2011
Surface waves in nematic liquid crystals journal November 1969
Phenomenology of short-range-order effects in the isotropic phase of nematic materials journal December 1969
A computer simulation of nematic droplets with radial boundary conditions journal November 1990
Nonideal surface and boundary condition for the nematic director journal June 1998
The Hermite collocation method using radial basis functions journal September 2000
Direct solution of Navier–Stokes equations by radial basis functions journal September 2008
A double boundary collocation Hermitian approach for the solution of steady state convection–diffusion problems journal May 2008
Influence of pore shape on the structure of a nanoconfined Gay–Berne liquid crystal journal August 2009
Radial basis function Hermite collocation approach for the solution of time dependent convection–diffusion problems journal April 2005
Bracket formulation of nonequilibrium thermodynamics for systems interacting with the environment journal June 2008
Direct transition from isotropic to smectic-E phase journal June 2007
Self-assembly of amphiphiles, polymers and proteins at interfaces between thermotropic liquid crystals and aqueous phases journal June 2008
Order and Dynamics Inside H-PDLC Nanodroplets: An ESR Spin Probe Study journal April 2009
Influence of Surfactant Tail Branching and Organization on the Orientation of Liquid Crystals at Aqueous−Liquid Crystal Interfaces journal July 2005
Recent Advances in Colloidal and Interfacial Phenomena Involving Liquid Crystals journal May 2011
Liquid Crystal Mediated Interactions Between Nanoparticles in a Nematic Phase journal March 2012
Principles for Manipulation of the Lateral Organization of Aqueous-Soluble Surface-Active Molecules at the Liquid Crystal−Aqueous Interface journal February 2009
Characterization of Adsorbate-Induced Ordering Transitions of Liquid Crystals within Monodisperse Droplets journal August 2009
Liquid-crystal-mediated self-assembly at nanodroplet interfaces journal May 2012
Frustrated nematic order in spherical geometries journal February 2011
Mesoscopic modelling of colloids in chiral nematics journal January 2010
Effect of flexoelectricity and order electricity on defect cores in nematic droplets journal January 2011
Liquid crystal nanodroplets, and the balance between bulk and interfacial interactions journal January 2012
Monte carlo study of Gay–Berne liquid-crystal droplets journal January 1995
Nematic colloids entangled by topological defects journal January 2009
Molecular configuration transitions of a nematic liquid crystal encapsulated in organically modified silicas journal January 2009
Flow induced deformation of defects around nanoparticles and nanodroplets suspended in liquid crystals journal January 2010
Effects of anchoring strength on the diffusivity of nanoparticles in model liquid-crystalline fluids journal January 2011
I. Liquid crystals. On the theory of liquid crystals journal January 1958
The theory of liquid crystals journal January 1933
On Some Elastic Instabilities in Biaxial Nematics journal April 1997
Hedgehog structure in nematic and magnetic systems journal January 1988
Effect of nonmesogenic solute on the nematic-smectic-A phase transition journal June 2002
Landau model of the smectic C–isotropic phase transition journal October 2002
On the Elastic Theory of Uniaxial Liquid Crystals journal January 1971
Inequalities in Liquid Crystal Theory journal January 1966
Slow dynamics of thin nematic films in the presence of adsorbed nanoparticles journal January 2005
Quenched disorder in a liquid-crystal biosensor: Adsorbed nanoparticles at confining walls journal May 2005
A computer simulation study of the formation of liquid crystal nanodroplets from a homogeneous solution journal January 2007
Tricritical behavior of the smectic-A to smectic-C phase transition in a liquid crystal mixture journal June 2008
Liquid crystal nanodroplets in solution journal January 2009
Structure and dynamics of a Gay–Berne liquid crystal confined in cylindrical nanopores journal June 2009
Tricritical behavior of the smectic-A to smectic-C∗ transition journal August 2009
Modeling flows of confined nematic liquid crystals journal April 2011
Field controlled light scattering from nematic microdroplets journal January 1986
Three-dimensional colloidal crystals in liquid crystalline blue phases journal February 2011
Anchoring transition and influence of director fluctuations in liquid crystal droplets journal December 2009
Topological defects in dispersed words and worlds around liquid crystals, or liquid crystal drops journal January 1998
Computer Simulations of Nematic Droplets with Toroidal Boundary Conditions
  • 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 https://doi.org/10.1080/10587259208037516
journal October 1992
Topological point defects in nematic liquid crystals journal September 2006
de Vries Behavior in Smectics near a Biaxiality Induced Smectic A – Smectic C Tricritical Point journal September 2009
Short Range Order Effects in the Isotropic Phase of Nematics and Cholesterics journal February 1971
Hybrid Aligned Nematic Films with Horizontally Degenerated Boundary Conditions and Saddle-Splay Elastic Term journal January 1991
Ferroelectricity in low-symmetry biaxial nematic liquid crystals journal August 2010
Molecular Description of Nematic Liquid Crystals journal December 1970
Hydrodynamic theory of biaxial nematics journal November 1981
Elastic continuum theory of biaxial nematics journal October 1984
Generalized mean-field model for the smectic- A– chiral-smectic- C phase transition journal December 1986
Deuterium NMR of polymer dispersed liquid crystals journal January 1988
Fréedericksz transitions in supra-μm nematic droplets journal February 1992
Focal conic domains with positive Gaussian curvature and saddle-splay rigidity of smectic L α phases journal August 1992
Disorientation-induced disordering at a nematic-liquid-crystal–solid interface journal November 1992
Geometrical anchoring at an inclined surface of a liquid crystal journal July 1992
Surfacelike-elasticity-induced spontaneous twist deformations and long-wavelength stripe domains in a hybrid nematic layer journal March 1993
Phenomenological approach to the problem of the K 13 surfacelike elastic term in the free energy of a nematic liquid crystal journal August 1993
Distortions induced by the K 13 surfacelike elastic term in a thin nematic liquid-crystal film journal August 1993
Field-driven first-order structural transition in the restricted geometry of a smectic- A cell journal July 1993
Erratum: Phenomenological approach to the problem of the K 13 surfacelike elastic term in the free energy of a nematic liquid crystal journal January 1994
Optical determination of the saddle-splay elastic constant K 24 in nematic liquid crystals journal February 1994
Anchoring transition in a nematic liquid crystal composed of centrosymmetric molecules journal February 1994
Computer simulations of nematic droplets with bipolar boundary conditions journal October 1994
Alignment tensor versus director: Description of defects in nematic liquid crystals journal July 1995
K 13 term and effective boundary condition for the nematic director journal July 1998
Instability of radial hedgehog configurations in nematic liquid crystals under Landau–de Gennes free-energy models journal January 1999
Surface variations of the density and scalar order parameter and the elastic constants of a uniaxial nematic phase journal March 1999
Spontaneous deformations of the uniform director ground state induced by the surfacelike elastic terms in a thin planar nematic layer journal April 2000
Fine structure of defects in radial nematic droplets journal November 2000
Full energy expression of a uniaxial nematic phase with spatially dependent density and order parameters: From microscopic to macroscopic theory journal November 2002
Poisson-bracket approach to the dynamics of nematic liquid crystals journal June 2003
Real-time microbe detection based on director distortions around growing immune complexes in lyotropic chromonic liquid crystals journal February 2005
Director configurations in nematic droplets with inhomogeneous boundary conditions journal September 2005
Anisotropic nanoparticles immersed in a nematic liquid crystal: Defect structures and potentials of mean force journal July 2006
Orientational multiplicity and transitions in liquid crystalline droplets journal February 2007
Two-dimensional dipolar nematic colloidal crystals journal November 2007
Computer simulation study of a liquid crystal confined to a spherical cavity journal January 2008
Interactions of quadrupolar nematic colloids journal March 2008
Stripe domains in a nearly homeotropic nematic liquid crystal: A bend escaped state at a nematic–smectic- A transition journal April 2008
Colloid-wall interaction in a nematic liquid crystal: The mirror-image method of colloidal nematostatics journal February 2009
Quadrupolar particles in a nematic liquid crystal: Effects of particle size and shape journal February 2009
Topological transformations in bipolar shells of nematic liquid crystals journal February 2009
Role of radius on prewetting behavior in nematic liquid-crystal droplets journal July 2009
Behavior of the helix in some chiral smectic- C ∗ liquid crystals journal February 2010
Novel Defect Structures in a Strongly Confined Liquid-Crystalline Blue Phase journal January 2010
Nematic-Smectic Transition in Spherical Shells journal June 2011
Continuous Nematic-Isotropic Transition in Submicron-Size Liquid-Crystal Droplets journal December 1988
Configuration transition in a nematic liquid crystal confined to a small spherical cavity journal April 1990
Determination of the liquid-crystal surface elastic constant K 24 journal September 1991
Anchoring and orientational wetting transitions of confined liquid crystals journal March 1993
Curvature-induced configuration transition in confined nematic liquid crystals journal January 1993
Surface Anchoring and Growth Pattern of the Field-Driven First-Order Transition in a Smectic- A Liquid Crystal journal July 1994
Stripe Domain Phase of a Thin Nematic Film and the K 13 Divergence Term journal August 1994
Defect Structure around Two Colloids in a Liquid Crystal journal December 2003
Physics of liquid crystals journal October 1974
An Efficient Localized Radial Basis Function Meshless Method for Fluid Flow and Conjugate Heat Transfer journal May 2006
Two-Dimensional Nematic Colloidal Crystals Self-Assembled by Topological Defects journal August 2006
Endotoxin-Induced Structural Transformations in Liquid Crystalline Droplets journal May 2011
Transformation of director configuration upon changing boundary conditions in droplets of nematic liquid crystal journal March 2004
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
Constitutive Equation for Nematic Liquid Crystals under Weak Velocity Gradient Derived from a Molecular Kinetic Equation journal October 1983
Defects in Degenerate Hybrid Aligned Nematic Liquid Crystals journal May 1990
Modeling planar degenerate wetting and anchoring in nematic liquid crystals journal November 2005
Die Struktur krystallinischer Flüssigkeiten journal February 1890

Cited By (16)

Reversible Switching of Liquid Crystalline Order Permits Synthesis of Homogeneous Populations of Dipolar Patchy Microparticles journal August 2014
Directed self-assembly of liquid crystalline blue-phases into ideal single-crystals journal June 2017
On the Defect Structure of Biaxial Nematic Droplets journal February 2018
Dynamics of ethyl cellulose nanoparticle self-assembly at the interface of a nematic liquid crystal droplet journal January 2017
Mesoscopic simulations of temperature-dependent anchoring and wetting behavior at aqueous–liquid crystal interfaces in the presence of a rod–coil amphiphilic monolayer journal January 2018
Effects of droplet size and surfactants on anchoring in liquid crystal nanodroplets journal January 2019
Ordering in clusters of uniaxial anisotropic particles during homogeneous nucleation and growth journal February 2019
Blue-phase liquid crystal droplets journal October 2015
Interplay of structure, elasticity, and dynamics in actin-based nematic materials journal December 2017
Light-activated helical inversion in cholesteric liquid crystal microdroplets journal April 2018
Polymorphic transitions mediated by surfactants in liquid crystal nanodroplet journal February 2019
Liquid crystal microfluidics: surface, elastic and viscous interactions at microscales journal July 2014
Liquid crystals in micron-scale droplets, shells and fibers journal February 2017
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
Influence of boundary conditions on the order and defects of biaxial nematic droplets journal September 2019
Interplay of Structure, Elasticity and Dynamics in Actin-Based Nematic Materials text January 2017

Similar Records

Liquid Crystal Mediated Interactions Between Nanoparticles in a Nematic Phase
Journal Article · Sun Mar 11 20:00:00 EDT 2012 · Langmuir · OSTI ID:1630265

Liquid-crystal-mediated self-assembly at nanodroplet interfaces
Journal Article · Tue May 01 20:00:00 EDT 2012 · Nature (London) · OSTI ID:1623302

Structural Transitions in Cholesteric Liquid Crystal Droplets
Journal Article · Tue May 31 20:00:00 EDT 2016 · ACS Nano · OSTI ID:1623295

Related Subjects