Abstract

A simple theoretical model was proposed to explain the solubility difference between star-shaped and linear polymers in a solvent. The basic assumption of the model was that probability of intermolecular contacts was low near the centre of a star-shaped polymer because of the higher local segment density. The mixing free energy was obtained by modifying the enthalpy term of the Flory–Huggins free energy. Coexistence curves of star-shaped and linear polymer solutions were calculated, and the results were compared with available experimental data. The present model could predict that star-shaped polymer had a better solubility, but quantitatively it slightly overestimated the difference between the critical temperatures of star-shaped and linear polymer solutions.

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