Measuring liquid crystal elastic constants with free energy perturbations

Soft Matter ◽  
2014 ◽  
Vol 10 (6) ◽  
pp. 882-893 ◽  
Author(s):  
Abhijeet A. Joshi ◽  
Jonathan K. Whitmer ◽  
Orlando Guzmán ◽  
Nicholas L. Abbott ◽  
Juan J. de Pablo
Keyword(s):  
Free Energy ◽  
Liquid Crystal ◽  
Elastic Constants ◽  
Free Energy Perturbations

The Elastic Constants of a Nematic Liquid Crystal

1975 ◽  
Vol 30 (2) ◽  
pp. 230-234 ◽  
Author(s):  
Hans Gruler
Keyword(s):  
Free Energy ◽  
Liquid Crystal ◽  
Elastic Constants ◽  
Elastic Energy ◽  
Nematic Phase ◽  
Mean Field ◽  
Field Energy ◽  
Molecular Length ◽  
Solid Crystal ◽  
The Mean

Abstract The elastic constants of a nematic liquid and of a solid crystal were derived by comparing the Gibbs free energy with the elastic energy. The expressions for the elastic constants of the nematic and the solid crystal are isomorphic: k ∝ ∣ D ∣ /1. In the nematic phase ∣ D ∣ and I are the mean field energy and the molecular length. In the solid crystal, ∣ D ∣ and l correspond to the curvature of the potential and to the lattice constant, respectively. The measured nematic elastic constants show the predicted l dependence.

A molecular dynamics study on liquid 1-octanol. Part 3. Evaluating octanol/water partition coefficients of novel thrombin inhibitors via free-energy perturbations

2005 ◽  
Vol 102 (5) ◽  
pp. 542-553 ◽  
Author(s):  
César Augusto Fernandes De Oliveira ◽  
Cristiano Ruch Werneck Guimarães ◽  
Heloisa De Mello ◽  
Aurea Echevarria ◽  
Ricardo Bicca De Alencastro
Keyword(s):  
Molecular Dynamics ◽  
Free Energy ◽  
Partition Coefficients ◽  
Thrombin Inhibitors ◽  
Free Energy Perturbations

Chain flexibility and elastic constants of solutions of a polymer liquid crystal

1988 ◽  
Vol 3 (8) ◽  
pp. 1073-1086 ◽  
Author(s):  
R. Parthasarathy ◽  
Deborah J. Houpt ◽  
Donald B. Dupre
Keyword(s):  
Liquid Crystal ◽  
Elastic Constants ◽  
Chain Flexibility ◽  
Polymer Liquid ◽  
Polymer Liquid Crystal

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 Anisotropy of the Elastic Constants in SmC* Liquid Crystal Films

2006 ◽  
Vol 449 (1) ◽  
pp. 117-125 ◽  
Author(s):  
K. J. Kidney ◽  
I. W. Stewart ◽  
G. McKay
Keyword(s):  
Liquid Crystal ◽  
Elastic Constants ◽  
Liquid Crystal Films ◽  
Crystal Films
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