Density functional approach to the molecular theory of rod-coil diblock copolymers

M. A. Osipov, M. V. Gorkunov, A. A. Antonov

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Abstract: The general density functional approach is used to develop a molecular-statistical theory of rod-coil diblock copolymers which is valid in the case of both weak and strong segregation. The free energy of the rod-coil copolymer is expressed as a functional of the number densities of rod and coil monomers which depend on the translational and orientational degrees of freedom. The equilibrium densities are determined by minimization of the free energy functional and depend on the orientational and translational order parameters of the monomers. The order parameters are calculated numerically by minimization of the free energy taking into account the incompressibility condition within the formalism of Lagrange multipliers. Phase diagrams are obtained and the profiles of orientational and translational order parameters are presented as functions of temperature and the fraction of coil fragments. It is shown that the lamellar phase possesses strong orientational order and the stability of the phase is increasing with the increasing fraction of rod monomers.

Original languageEnglish
Pages (from-to)562-577
Number of pages16
JournalPolymer Science - Series A
Volume62
Issue number5
Early online date1 Sept 2020
DOIs
Publication statusPublished - 2 Oct 2020

Keywords

  • rod-coil diblock copolymers
  • rod monomers
  • coil monomers
  • Lagrange multiplier

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