Considering the inhomogeneity of the concentration distribution in the corona of a star-shaped micelle

an equation system of free energy components was suggested in order to predict the micro-phase separation of the diblock copolymer in selective solvents. All energetic and entropic contributions to the free energy of micellization were included in equations for the micellar solution

which was composed of the di-block copolymers with certain molecular weights and the solvent with special characters at a giving temperature.The minimization of free energy produced the equilibrium size and aggregation number of the micelle.The corona and core size of the micelle

the concentration profile of the soluble block in corona and the value of the aggregation number wereobtained based on the present theory.Moreover

the theoretical predictions of the aggregation number were in good agreement with the experimental data for systems of polystyrene-poly(2-cinnamoylethyl methacrylate)/cyclopentane and poly(4-vinylpyridine)-polystyrene/toluene.