On the Area Neutral Surface of Inverse Bicontinuous Cubic Phases of Lyotropic Liquid Crystals

Bilayer Elasticity at the Nanoscale: The Need for New Terms

“…[38,41], which yields a 30% difference on H 0 and a 20% difference on H f . We also note that, as the value of the algebraic distance from the neutral surface to the hydrophilic-hydrophobic interface of a monolayer is very small compared to the other length scales involved (ξ = −0.3Å [40]), the contribution of c ′ 0 Σ 0 to H is negligible (it is of order 1%). Let us now discuss the results given by our model, in the case of the free-slope boundary condition (see Table 1).…”

Competition brings out the best: modelling the frustration between curvature energy and chain stretching energy of lyotropic liquid crystals in bicontinuous cubic phases

“…Here, A denotes the cross-sectional area of a hydrophobic chain, L denotes the chain length, H is the interfacial mean curvature, K is the interfacial Gaussian curvature, H 0 is the spontaneous mean curvature, L 0 denotes the relaxed chain length, and κ H , κ G and κ L denote the moduli for the energetic contributions from, respectively, the mean curvature, Gaussian curvature, and hydrophobic chain stretching. All these quantities should be measured on or from the neutral interface, which is the location within the monolayer where the area is invariant upon isothermal bending [KW91,Tem95]. The average is over the whole surface, that is x = S xdS/ S dS.…”

An HII liquid crystal-based delivery system for cyclosporin A: Physical characterization

“…The energy involved in the packing frustration is a function [Eq. (3)] of the stretching rigidity of the chains (k) that are assumed to act as harmonic springs and the monolayer width [56],…”