End-adsorbed polymer brushes in high- and low-molecular-weight matrices

Kenneth R Shull*

*Corresponding author for this work

Research output: Contribution to journalArticle

43 Scopus citations


Numerical self-consistent-field theory (Scheutjens-Fleer theory) is used to describe the crossover from "dry" brush behavior, where the matrix from which the polymers adsorb is itself a high-molecular-weight polymer, to "wet" brush behavior, where the matrix is a small-molecule solvent. The free energy, f*, required to add an additional chain to an existing brush is calculated for different values of Na, Nb, χ, and z*, where Nb and Na are the respective degrees of polymerization of the adsorbing and nonadsorbing molecules, χ is the Flory interaction parameter between different segment types, and z* is the integrated volume fraction of adsorbing chains. In situations where the adsorbing and nonadsorbing molecules have the same statistical segment length, f* is completely specified by Nb/Na, χNa, and z*/Rg, where Rz is the unperturbed radius of gyration of the adsorbing molecules. For a large range of these parameters, results for f*, and the closely related adsorption isotherms, are in good agreement with analytic predictions from a simple scaling argument.

Original languageEnglish (US)
Pages (from-to)2659-2666
Number of pages8
Issue number7
StatePublished - Mar 25 1996

ASJC Scopus subject areas

  • Organic Chemistry
  • Polymers and Plastics
  • Inorganic Chemistry
  • Materials Chemistry

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