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Vesicles prepared in water from a series of diblock copolymers and termed polymersomes are physically characterized. With increasing molecular weight $bar{M}_n$, the hydrophobic core thickness $d$ for the self-assembled bilayers of polyethyleneoxide - polybutadiene (PEO-PBD) increases up to 20 $nm$ - considerably greater than any previously studied lipid system. The mechanical responses of these membranes, specifically, the area elastic modulus $K_a$ and maximal areal strain $alpha_c$ are measured by micromanipulation. As expected for interface-dominated elasticity, $K_a$ ($simeq$ 100 $pN/nm$) is found to be independent of $bar{M}_n$. Related mean-field ideas also predict a limiting value for $alpha_c$ which is universal and about 10-fold above that typical of lipids. Experiments indeed show $alpha_c$ generally increases with $bar{M}_n$, coming close to the theoretical limit before stress relaxation is opposed by what might be chain entanglements at the highest $bar{M}_n$. The results highlight the interfacial limits of self-assemblies at the nano-scale.
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One of the most widely used methods for determination of the bending elasticity modulus of model lipid membranes is the analysis of the shape fluctuations of nearly spherical lipid vesicles. The theoretical basis of this analysis is given by Milner a
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