Self-Consistent Field Theory within Hildebrand Approximation: Microphase Separation in Gradient Copolymers

Yury Kriksin*, Igor Erukhimovich, Gerrit ten Brinke

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

Abstract

To provide a faster calculation of the block copolymer phase diagrams a simplified version of the self-consistent field theory (SCFT) is proposed. Multi-component block copolymers with interactions between repeated units described by the -parameters satisfying the Hildebrand conditions are studied. This case is shown to correspond to a degeneration within the framework of the general SCFT approach. Remarkably, the degenerated thus multi-component block copolymers admit two-component only SCFT description. The procedure presented is applied to gradient copolymers considered as a limiting case of multi-component copolymers obeying Hildebrand conditions, the lengths of the blocks vanishing and the number of different kinds of repeated monomers tending to infinity. Finally, a melt of symmetric triblock copolymers blurred into a gradient copolymer is studied and corresponding phase diagrams are calculated.
Original languageEnglish
Pages (from-to)466-474
Number of pages9
JournalMacromolecular Theory and Simulations
Volume25
Issue number5
DOIs
Publication statusPublished - Sep-2016

Keywords

  • computer modeling
  • gradient copolymers
  • Hildebrand approximation
  • self-consistent field theory
  • self-organization
  • ABC TRIBLOCK COPOLYMERS
  • BLOCK-COPOLYMERS
  • PHASE-BEHAVIOR
  • NONCONVENTIONAL MORPHOLOGIES
  • INTERFACIAL PROPERTIES
  • MELTS
  • SEGREGATION
  • WEAK
  • NANOSTRUCTURES
  • ALGORITHM

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