Elastic properties of strongly curved monolayers. Effect of electric surface charges

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Abstract
The structural and elastic properties of strongly curved cylindrical interface are characterised by spontaneous curvature, spontaneous area per molecule and three elastic moduli corresponding respectively to area extension, bending and mixed deformation of spontaneous state [6, 7]. All characteristics are influenced by the electrical charge of interface. We have calculated in terms of a general approach [16] the change of spontaneous geometrical characteristics and of the full set of elastic moduli of a cylindrical interface due to the electrical charge. The analysis is performed for an arbitrary dividing surface. The theoretical results are applied to the analysis of recently obtained experimental data [11]. The qualitative agreement between experimental data and theoretical predictions prove the validity of the developed approach. The quantitative comparison of results obtained with experimental data allows us to estimate the effective surface charge density of cylindrical DOPE/DOPS (3/1) monolayer in the hexagonal HII phase. This value is equal approximately to 3×10-3 [ Q/m2]

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