Estimation of the Compositional Proportions of Different Micelle Species in Water: Application of One-dimensional Aggregate Theory to Small Angle Neutron Scattering Analyzed Data

Abstract

The one-dimensional aggregation theory was applied to the small angle neutron scattering (SANS) analyzed data of surfactant solutions. Plots of the hydrophobic bonding energy E to form an aggregate against the number-average aggregation number n were found to be powerful to estimate the compositional ratios of different aggregate species co-existing in a gross sample solution. One-dimensional aggregate theory was applied to the SANS-analyzed data of micelle solutions. Plots of the hydrophobic bonding energy E (E1, E2 and E3) to form a micelle against the number-average aggregation number n were found to provide the compositional ratios (XI, XII and XIII) of three micelle species (I, II and III) co-existing in a gross sample.