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A Self-Consistent Lattice Formulation for Thermodynamic Properties of Multi-Component Polymer Mixtures Adsorbed at Solid Interfaces
Published in Taylor and Francis Inc.
2018
Volume: 57
   
Issue: 6
Pages: 395 - 417
Abstract

The lattice-based self-consistent field theory approach of Scheutjens-Fleer is used to formulate theoretical relationships for description of interfacial thermodynamic properties of multi-component, compressible polymer mixtures adsorbed at a solid surface. A generalized expression for the chemical potential of a polymer chain in a multi-component compressible mixture is derived. A closed-form expression for the interfacial energy in terms of the segment densities and mole-fractions is obtained for a m-component adsorbed mixture.This expression exactly reduces to the Scheutjens-Fleer formalism result in the homopolymer-solvent case and accounts for thermal interactions, unlike previous works [see Ginzburg et al., Macromolecules, 42, 9090 (2009)]. Explicit self-consistent equations and relations for the chemical potential of ternary blends are derived. Equations are also derived for modeling compressible systems via hole-components. Also, using simple mixing rules, the self-consistent equations and chemical potential for compressible binary blends are presented. © 2018, © 2018 Taylor & Francis Group, LLC.

About the journal
JournalData powered by TypesetJournal of Macromolecular Science, Part B: Physics
PublisherData powered by TypesetTaylor and Francis Inc.
ISSN00222348
Open AccessNo
Concepts (15)
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    Chemical potential
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    Mean field theory
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    Mixtures
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    Molecular orbitals
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    Polymers
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    Thermodynamics
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    Closed-form expression
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    COMPRESSIBLE
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    INTERFACIAL THERMODYNAMICS
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    Lattice
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    MULTI-COMPONENTMIXTURE
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    Self consistent field theory
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    SELF-CONSISTENT EQUATIONS
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    Solid interfaces
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    Lattice theory