Liquid crystal solutions at infinite dilution: Solute phase transfer free energy and solubility parameter variations at phase conversion temperatures

2007 ◽  
Vol 253 (1) ◽  
pp. 42-47 ◽  
Author(s):  
Jan-Chan Huang ◽  
Jose Coca ◽  
Stanley H. Langer
Keyword(s):  
Free Energy ◽  
Liquid Crystal ◽  
Solubility Parameter ◽  
Infinite Dilution ◽  
Phase Transfer ◽  
Phase Conversion ◽  
Transfer Free Energy ◽  
Parameter Variations

Transfer Free Energy of Micro-hydrated Ion Clusters from Water into Acetonitrile Solvent

2021 ◽  
pp. 116561
Author(s):  
Weiqiang Tang ◽  
Zijiang Dou ◽  
Yu Li ◽  
Xiaofei Xu ◽  
Shuangliang Zhao
Keyword(s):  
Free Energy ◽  
Transfer Free Energy ◽  
Ion Clusters ◽  
Hydrated Ion

scholarly journals Coupling free energy and surface anchoring mechanism in gold nanorod–nematic liquid crystal dispersions

RSC Advances ◽  
2018 ◽  
Vol 8 (8) ◽  
pp. 4104-4111 ◽  
Author(s):  
Qi Wang ◽  
Liying Liu ◽  
Lei Xu
Keyword(s):  
Free Energy ◽  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Gold Nanorod ◽  
Optical Birefringence ◽  
Surface Anchoring

Dependence of both the induced optical birefringence signals and simulated free energy ftotal with the pump H.

On nematic surface energies

1997 ◽  
Vol 8 (3) ◽  
pp. 293-299 ◽  
Author(s):  
SANDRO FAETTI ◽  
EPIFANIO G. VIRGA
Keyword(s):  
Free Energy ◽  
Liquid Crystal ◽  
Energy Density ◽  
Continuum Theory ◽  
Free Energy Density ◽  
Optic Axis ◽  
Principal Curvatures ◽  
Equilibrium Equations ◽  
Line Integral ◽  
Surface Energies

We review the main outcomes of a continuum theory for the equilibrium of the interface between a nematic liquid crystal and an isotropic environment, in which the surface free energy density bears terms linear in the principal curvatures of the interface. Such geometric contributions to the energy occur together with more conventional elastic contribution, leading to an effective azimuthal anchoring of the optic axis, which breaks the isotropic symmetry of the interface. The theory assumes the interface to be fixed, as for a rigid cavity filled with liquid crystal, and so it does not apply to drops. It should be appropriate when the curvatures of the interface are small compared to that of the molecular interaction sphere. Also, interfaces bearing a sharp edge are encompassed within the theory; a line integral expresses the energy condensed along the edge: we see how it affects the equilibrium equations.

scholarly journals Bidirectional rotation control of a carbon fiber in nematic liquid crystal using AC electric field

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Jun-Yong Lee ◽  
Jeong-Seon Yu ◽  
Jong-Hyun Kim
Keyword(s):  
Free Energy ◽  
Liquid Crystal ◽  
Electric Field ◽  
Colloidal Particles ◽  
Colloidal System ◽  
Wide Angle ◽  
Local Minima ◽  
Free Energies ◽  
Rotation Direction ◽  
Ac Electric Field

Abstract Colloidal particles dispersed in nematic liquid crystals are aligned along the orientation that minimizes the elastic free energy. Through applying an electric field to a nematic colloidal system, the orientation of the director can change. Consequently, colloidal particles realign to minimize the total free energy, which is the sum of the elastic and electric free energies. Herein, we demonstrate that if the preferred rotation directions given by the electric and elastic free energies are different during realignment, the rotation direction of the particle can be controlled by how we apply the electric field. When the strength of the electric field gradually increases, the particles rotate in the same direction as the rotation of the director. However, when a sufficiently high electric field is suddenly applied, the particles rotate in the opposite direction. In this study, we analyzed the effect of free energy on the bidirectional rotation behavior of the particles using a theoretical model. This study provides an effective approach to control the rotational behavior of colloidal particles over a wide-angle range between two orientational local minima.

WETTING AND PREWETTING PHENOMENA IN NEMATIC LIQUID CRYSTAL DISK-LIKE DROPLET

2019 ◽  
Vol 26 (04) ◽  
pp. 1850171
Author(s):  
ERFAN KADIVAR ◽  
SHAHRAM AHMADI DARANI
Keyword(s):  
Differential Equation ◽  
Boundary Layer ◽  
Phase Diagram ◽  
Free Energy ◽  
Liquid Crystal ◽  
Boundary Layer Transition ◽  
Layer Transition ◽  
Critical Droplet ◽  
Quadratic Surface ◽  
Maxwell Construction

We present a theoretical investigation of wetting and prewetting phenomena in a nematic-disk like droplet under a concentric anchoring configuration. Our theoretical model is based on Landau–de Gennes free energy together with a quadratic surface energy. By using the Maxwell construction, we numerically solve the Euler–Lagrange differential equation. The occurrence of boundary layer transition is summarized in the phase diagram scanned by temperature and surface potential. We find that prewetting phenomenon disappear below a critical droplet size and critical temperature.

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