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Volume exclusion significantly impacts ion distribution in gels, deviating from classical Donnan theory. This effect is crucial for understanding ion behavior in gels, especially with nano-sized ions or high electrolyte concentrations.

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Area of Science:

  • Polymer Science
  • Physical Chemistry
  • Computational Materials Science

Background:

  • Classical Donnan exclusion theory describes ion partitioning in charged membranes.
  • Previous models often neglect the physical volume of ions and polymer networks.
  • Understanding these effects is vital for gel-based applications.

Purpose of the Study:

  • To investigate the impact of volume exclusion on ionic partitioning in gels.
  • To develop and validate a theoretical model accounting for finite-size effects.
  • To assess the limitations of classical Donnan theory in realistic scenarios.

Main Methods:

  • Coarse-grained molecular simulations were employed.
  • An approximate analytical theory was developed.
  • Simulations and theoretical predictions were compared for various gel charges and electrolyte concentrations.

Main Results:

  • Finite size effects cause significant deviations from ideal Donnan exclusion.
  • Volume exclusion becomes critical at low/moderate concentrations and for nano-sized ions.
  • The proposed theory accurately predicts ionic partitioning and Donnan potential, even at high salt concentrations.

Conclusions:

  • Volume exclusion is a critical factor in ionic partitioning within gels.
  • The developed theory provides a more accurate description than classical Donnan theory.
  • This work offers improved theoretical tools for designing and understanding gel behavior.