Screening effects in a polyelectrolyte brush: self-consistent-field theory

E.B. Zhulina, J. Klein Wolterink, O.V. Borisov

    Research output: Contribution to journalArticleAcademicpeer-review

    134 Citations (Scopus)

    Abstract

    We have developed an analytical self-consistent-field (SCF) theory describing conformations of weakly charged polyelectrolyte chains tethered to the solid-liquid interface and immersed in a solution of low molecular weight salt. Depending on the density of grafting of the polyelectrolytes to the interface and on the salt concentration we distinguish three main asymptotic regimes of behavior of the grafted layer. These regimes are characterized by (i) unscreened Coulomb repulsion between polyions, (ii) screening of the interchain interactions predominantly by counterions, or (iii) screening ensured by co-ions and counterions of the salt, respectively. We have demonstrated that all the structural and thermodynamic properties of the brush are determined by two dimensionless parameters, i.e., the bare Gouy-Chapman length normalized by the characteristic brush thickness and the bulk Debye screening length, respectively. The theory describes contraction of the brush as a whole and its internal structural rearrangements with increasing salt concentration. In particular, we consider variation of the polymer density profile and distributions of the end segments and small ions with increasing salt concentration. The maximum sensitivity of the brush to the addition of salt is predicted in the intermediate range of grafting density while dense and sparse brushes are less affected by added salt.
    Original languageEnglish
    Pages (from-to)4945-4953
    JournalMacromolecules
    Volume23
    DOIs
    Publication statusPublished - 2000

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    Brushes
    Polyelectrolytes
    Screening
    Salts
    Ions
    Conformations
    Structural properties
    Polymers
    Thermodynamic properties
    Molecular weight
    Liquids

    Cite this

    Zhulina, E. B., Klein Wolterink, J., & Borisov, O. V. (2000). Screening effects in a polyelectrolyte brush: self-consistent-field theory. Macromolecules, 23, 4945-4953. https://doi.org/10.1021/ma990187i
    Zhulina, E.B. ; Klein Wolterink, J. ; Borisov, O.V. / Screening effects in a polyelectrolyte brush: self-consistent-field theory. In: Macromolecules. 2000 ; Vol. 23. pp. 4945-4953.
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    abstract = "We have developed an analytical self-consistent-field (SCF) theory describing conformations of weakly charged polyelectrolyte chains tethered to the solid-liquid interface and immersed in a solution of low molecular weight salt. Depending on the density of grafting of the polyelectrolytes to the interface and on the salt concentration we distinguish three main asymptotic regimes of behavior of the grafted layer. These regimes are characterized by (i) unscreened Coulomb repulsion between polyions, (ii) screening of the interchain interactions predominantly by counterions, or (iii) screening ensured by co-ions and counterions of the salt, respectively. We have demonstrated that all the structural and thermodynamic properties of the brush are determined by two dimensionless parameters, i.e., the bare Gouy-Chapman length normalized by the characteristic brush thickness and the bulk Debye screening length, respectively. The theory describes contraction of the brush as a whole and its internal structural rearrangements with increasing salt concentration. In particular, we consider variation of the polymer density profile and distributions of the end segments and small ions with increasing salt concentration. The maximum sensitivity of the brush to the addition of salt is predicted in the intermediate range of grafting density while dense and sparse brushes are less affected by added salt.",
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    Zhulina, EB, Klein Wolterink, J & Borisov, OV 2000, 'Screening effects in a polyelectrolyte brush: self-consistent-field theory', Macromolecules, vol. 23, pp. 4945-4953. https://doi.org/10.1021/ma990187i

    Screening effects in a polyelectrolyte brush: self-consistent-field theory. / Zhulina, E.B.; Klein Wolterink, J.; Borisov, O.V.

    In: Macromolecules, Vol. 23, 2000, p. 4945-4953.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - Screening effects in a polyelectrolyte brush: self-consistent-field theory

    AU - Zhulina, E.B.

    AU - Klein Wolterink, J.

    AU - Borisov, O.V.

    PY - 2000

    Y1 - 2000

    N2 - We have developed an analytical self-consistent-field (SCF) theory describing conformations of weakly charged polyelectrolyte chains tethered to the solid-liquid interface and immersed in a solution of low molecular weight salt. Depending on the density of grafting of the polyelectrolytes to the interface and on the salt concentration we distinguish three main asymptotic regimes of behavior of the grafted layer. These regimes are characterized by (i) unscreened Coulomb repulsion between polyions, (ii) screening of the interchain interactions predominantly by counterions, or (iii) screening ensured by co-ions and counterions of the salt, respectively. We have demonstrated that all the structural and thermodynamic properties of the brush are determined by two dimensionless parameters, i.e., the bare Gouy-Chapman length normalized by the characteristic brush thickness and the bulk Debye screening length, respectively. The theory describes contraction of the brush as a whole and its internal structural rearrangements with increasing salt concentration. In particular, we consider variation of the polymer density profile and distributions of the end segments and small ions with increasing salt concentration. The maximum sensitivity of the brush to the addition of salt is predicted in the intermediate range of grafting density while dense and sparse brushes are less affected by added salt.

    AB - We have developed an analytical self-consistent-field (SCF) theory describing conformations of weakly charged polyelectrolyte chains tethered to the solid-liquid interface and immersed in a solution of low molecular weight salt. Depending on the density of grafting of the polyelectrolytes to the interface and on the salt concentration we distinguish three main asymptotic regimes of behavior of the grafted layer. These regimes are characterized by (i) unscreened Coulomb repulsion between polyions, (ii) screening of the interchain interactions predominantly by counterions, or (iii) screening ensured by co-ions and counterions of the salt, respectively. We have demonstrated that all the structural and thermodynamic properties of the brush are determined by two dimensionless parameters, i.e., the bare Gouy-Chapman length normalized by the characteristic brush thickness and the bulk Debye screening length, respectively. The theory describes contraction of the brush as a whole and its internal structural rearrangements with increasing salt concentration. In particular, we consider variation of the polymer density profile and distributions of the end segments and small ions with increasing salt concentration. The maximum sensitivity of the brush to the addition of salt is predicted in the intermediate range of grafting density while dense and sparse brushes are less affected by added salt.

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