Strong-stretching and Scheutjens-Fleer descriptions of grafted polymer brushes

Scott T. Milner

doi:10.1039/FT9908601349

Strong-stretching and Scheutjens-Fleer descriptions of grafted polymer brushes

Scott T. Milner

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84 Scopus citations

Abstract

The analytical theory of the conformations of end-grafted polymer 'brushes' is compared to direct numerical solutions of the mean-field equations developed by Scheutjens and Fleer. For moderately large chain length N, the predicted distribution of chain free ends and parabolic monomer density profile are confirmed in detail. The size (≈N^1/3) and shape of corrections to the monomer density profile for finite N have been determined theoretically and are compared to numerical profiles. The fluctuations of chain conformations about the most probable paths are analysed in terms of an analogy to motion in a quantum-mechanical harmonic oscillator, in good agreement with numerical results.

Original language	English (US)
Pages (from-to)	1349-1353
Number of pages	5
Journal	Journal of the Chemical Society, Faraday Transactions
Volume	86
Issue number	9
DOIs	https://doi.org/10.1039/FT9908601349
State	Published - 1990

All Science Journal Classification (ASJC) codes

Physical and Theoretical Chemistry

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10.1039/FT9908601349

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abstract = "The analytical theory of the conformations of end-grafted polymer 'brushes' is compared to direct numerical solutions of the mean-field equations developed by Scheutjens and Fleer. For moderately large chain length N, the predicted distribution of chain free ends and parabolic monomer density profile are confirmed in detail. The size (≈N1/3) and shape of corrections to the monomer density profile for finite N have been determined theoretically and are compared to numerical profiles. The fluctuations of chain conformations about the most probable paths are analysed in terms of an analogy to motion in a quantum-mechanical harmonic oscillator, in good agreement with numerical results.",

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AB - The analytical theory of the conformations of end-grafted polymer 'brushes' is compared to direct numerical solutions of the mean-field equations developed by Scheutjens and Fleer. For moderately large chain length N, the predicted distribution of chain free ends and parabolic monomer density profile are confirmed in detail. The size (≈N1/3) and shape of corrections to the monomer density profile for finite N have been determined theoretically and are compared to numerical profiles. The fluctuations of chain conformations about the most probable paths are analysed in terms of an analogy to motion in a quantum-mechanical harmonic oscillator, in good agreement with numerical results.

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Strong-stretching and Scheutjens-Fleer descriptions of grafted polymer brushes

Abstract

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