Phenomenological models microemulsions

As already indicated, the length / cannot be measured directly. It is sensitive to the model employed in the description of a microemulsion. For the phenomenological model as described in this chapter, it is found to be on the order of the cube root of a molecular volume in the liquid state [31], that is, approximately 0.5 nm. 

Our main purpose in this paper is to clarify the essential differences of structures and interaction parameters among middle-temperature lamellar (MTL) phase and the two microemulsion, LTM and HTM, phases. We have determined the structural parameters by phenomenological model analysis and the microscopic interaction parameters by microscopic spin-lattice model analysis, respectively. 

A variety of thermodynamic models qualitatively capture the central equilibrium and dynamic features of microemulsion behavior (41 5). These range from phenomenological models, which treat the oil-water interface as fluctuating membranes to lattice models which describes discrete surfactants interacting with oil and water. Membrane models range from simple cubic lattice descriptions to fluctuating film models that include curvature-dependent bending elasticity to prescribe lower limits on domain size. 

Models have been developed to describe the SAXS from microemulsions, which contain polar, nonpolar, and amphiphilic constituents [70]. There are a few different ways that one can analyze the SAXS from these systems. These approaches are reviewed here. Qualitatively, the Teubner-Strey phenomenological model accounts for a bi-continuous repeat distance, d, as well as the average length scale of the... 

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