Micellar systems, characteristic interaction parameter

Calculating the Characteristic Interaction Parameter of the Micellar Systems Used To perform the calculation of p12 for the systems examined, i.e. Sulfonate/Genapol/ethoxylated nonylphenol mixtures, the following assumptions were made ... 

The interactions between a lipophilic or hydrophilic drug and micellar phases are caused by weak physicochemical forces such as hydrophobic (unspecific) and electrostatic effects (specific dipole-dipole, dipole-mdacoA dipole) and steric effects, whereas the hydrophobic binding to the micellar systems is dominant. An indirect indication for the presence of interactions between the micellar phase and drugs is given by molecular and dynamic parameters of the drug and the micelles (ionic mobiUty, diffusion coefficient, hydrodynamic radius, apparent molecular mass), which are altered by the solubilization of lipophilic substances in a characteristic manner. 

Numerous theories, models and mathematical approaches have been developed over the years in order to describe the micellisation process and the dependence of fundamental structural parameters of the micelles, like cmc, aggregation number (Nagg), overall size (Rm), core radius (Rc) and corona thickness (L), on the molecular characteristics of the block copolymer, with respect to the degrees of polymerisation of the constituent blocks (Na and N ), as well as the Flory-Huggins interaction parameters x between the blocks and between the blocks and the solvent. Some of these approaches use the minimisation of the total free energy of the micellar system so as to extract relations between the copolymer and micelle features, while others are based on the scaling concept of Alexander-de Gennes and... 

Regarding semianalytical mean-field theories, Noolandi and Hong [78] and Leibler et al. [79] derived the micellar characteristics by minimising the free energy of both isolated micelles and the whole micellar system. A further development was achieved by Nagarajan and Ganesh [80], who took into account the molar volumes of the solvent and blocks A and B, the interfacial tension between the B block and the solvent and the interaction parameter between the A block and the solvent. This... 

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