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  • Salt Effect on Donnan Equilibrium in MontmorilloniteDemonstrated with Molecular Dynamics Simulations
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  • https://doi.org/10.1021/acs.jpcb.2c04016Copy DOI Icon

Salt Effect on Donnan Equilibrium in MontmorilloniteDemonstrated with Molecular Dynamics Simulations

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Abstract

Donnan equilibriumgoverns the distribution of ions in many systemssuch as ion exchange membranes and biological cells in contact withan external electrolyte. Herein, Donnan equilibrium between bulk saltsolution and bihydrated montmorillonite was investigated because sucha system is of great importance for many nuclear waste disposal concepts.Specifically, we used molecular dynamics simulations to determinethe partition coefficient of chloride, which was achieved by calculatingthe free-energy difference of chloride in the interlayer and the bulkusing enhanced sampling methodology. Montmorillonite in equilibriumwith either NaCl or CaCl2 was examined to elucidate thegeneral difference between 1:1 and 2:1 salts. The concentration dependenceof the partition coefficient for each salt was determined using threeand four concentrations for NaCl and CaCl2, respectively.In the case of NaCl, we found that the partition coefficient increasedlinearly with the concentration, while for CaCl2, the increasewas proportional to the square root of the concentration. A derivationof the partition coefficient using general Donnan theory that includesexcess free energy contributions beyond the electrostatic Donnan potentialis also presented. For both salts, the agreement between the partitioncoefficient from the simulations and Donnan theory was excellent.Although Donnan theory is a continuum theory derived without any referenceto atomistic details, the present results justify its applicationto systems with nanoscale pores.

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