Consistent definitions of “the interface” in surfactant-free micellar aggregates

• Surfactant-free micelle aggregates are studied with molecular dynamics simulations.
• Aggregates of the different preferred aggregation numbers are analyzed.
• Different criteria for an interface definition are tested.
• The location of the interface can be defined in a consistent way.

The theoretical description of systems with soft interfaces requires a precise definition of the interfaces that are present. Such definitions are common for interfaces of simple liquids and for surfactant assemblies like micelles, membranes, and microemulsions. Here, we focus on several possible rigorous definitions in a recently described surfactant-free microemulsion that consists of octanol, ethanol, and water, in which micelle-like aggregates are in dynamic equilibrium with the surrounding pseudo phase. We test different definitions that are based on the radial distribution functions of the components with respect to the center of these surfactant-free micelles. All definitions result in experimentally indistinguishable locations of the interface within the limits of resolution of light, X-ray, and neutron scattering experiments, since their locations differ by at most 0.4 nm, which corresponds to roughly 2-3 bond lengths.

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