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Self-consistent field theory of twist grain boundaries in block copolymers

2000/05/24 by Daniel Duque, M. Schick, Michael Schick · 22 citations
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Advanced Polymer Synthesis and Characterization #Block (permutation group theory) #Block Copolymer Self-Assembly #Composite material #Copolymer #Field (mathematics) #Geometry #Grain boundary #Materials science #Mathematics #Microstructure #Polymer #Polymer crystallization and properties #Pure mathematics #Twist #cond-mat.soft

paper · pdf · doi:10.1063/1.1289887

published in The Journal of Chemical Physics 113(13), 5525-5530 (American Institute of Physics) · 10 pages, 6 figures, submitted for publication

arxiv created 2000/05/24 · openalex publication_date 2000/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We apply self-consistent field theory (SCFT) to twist grain boundaries of block copolymer melts. The distribution of monomers throughout the grain boundary is obtained as well as the grain boundary free energy per unit area as a function of twist angle. We define an intermaterial dividing surface in order to compare it with minimal surfaces which have been proposed. Our calculation shows that the dividing surface is not a minimal one, but the linear stack of dislocations seems to be a better representation of it for most angles than is Scherk’s first surface.

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