J. Phys. II France
Volume 2, Numéro 2, February 1992
Page(s) 175 - 185
DOI: 10.1051/jp2:1992122
J. Phys. II France 2 (1992) 175-185

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

M. M. Kozlov1, M. Winterhalter2 and D. Lerche3

1  Freie Universität Berlin, Fachbereich Physik, WE 2, Arnimallee 14, 1000 Berlin 33, Germany
2  Centre de Recherche Paul Pascal, avenue A. Schweitzer, 33600 Pessac, France
3  Institut für Medizinische Physik, Humboldt Universität Berlin, 1040 Berlin, Germany

(Received 17 July 1991, revised 5 November 1991, accepted 12 November 1991)

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 H $_{\rm II}$ phase. This value is equal approximately to $3\times 10^{-3}$ [ Q/m 2] .

82.65D - 87.20C

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