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Highly Selective Current-Induced Accumulation of Trace Ions at Micro-/NanoPorous Interfaces

During application of an electrical current through a composite micro-/nano-porous membrane, trace-ion accumulation in the microporous layer should vary greatly with the ion diffusion coefficient to allow selective accumulation of specific ions. In this study, we examine the theoretical enrichment factors in the microporous region as a function of current density and trace-ion diffusion coefficient to demonstrate the promise of such micro-/nano-porous interfaces for ion separations. Trace-ion accumulation relies on charged nanopores that exclude coions (ions with the same charge as the nanopore walls)and give rise (under current) to depletion of the dominant (high-concentration) salt in the region next to the nanopores. This depletion gives rise to high local electric fields. Trace ions accumulate in this region because convection carries them toward the nanoporous interface, whereas electromigration in the opposite direction is strongest next to the interface. For ions whose diffusion coefficients are half of the corresponding value for the dominant salt, calculated enrichment factors reach 150. In contrast depletion occurs for ions with the same diffusion coefficient as the dominant salt. Even higher enrichment factors appear for divalent ions due to their relatively low diffusion coefficients. Lastly, with monovalent coions whose diffusion coefficients differ by only 2%, calculated selectivity factors reach values >1.2 (>1.8 for divalent coions), depending on the magnitudes of the diffusion coefficients. Such selectivities may prove useful in separating very similar species such as isotopes or equally charged peptides.

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Electro-osmo-dialysis through nanoporous layers physically conjugated to micro-perforated ion-exchange membranes: Highly selective accumulation of trace coions

This study explores theoretically and numerically the phenomenon of counter-flow accumulation of trace coions during electro-osmo-dialysis through composite membranes containing nanoporous and perforated ion-exchange layers. The combination of charged nanopores and perforations allows electroosmosis, and ion concentration polarization appears near the ion-exchange layer. Accumulation of trace coions occurs because their advective and electromigration flow velocity components have opposite signs and are locally compensating in depletion regions where electric fields are high. This local compensation of flow components can give rise to high accumulation factors (>1000 in some cases) for trace coions at some distance from the interface between the nanoporous and ion-exchange layers. Moreover, the extent of this accumulation depends on the trace-coion diffusion coefficient. The resulting selectivity between different coions might serve as a basis for environmentally friendly separation of ionic species such as synthetic peptides or rare-earth elements. For example, a periodic process might include accumulation followed by species release into smaller volumes of solution. For both rare-earth ions and peptide-like species, the accumulation selectivity between ions with small differences in mobilities depends on system parameters such as nanoporous-layer thickness, distance between the perforations, and the zeta potential of the nanopore surface. Here, the use of optimal values of these membrane parameters may enable tuning of the electro-osmo-dialysis system for separation of specific ions. Modelling reveals that despite inhomogeneous patterns of fluid and ion flows close to the nanoporous/perforated ion-exchange interface, at relatively short distances from this interface (less than half the distance between the perforations) all the flows become practically one-dimensional (1D). Similarly, the concentration profiles of trace coions also become 1D. The flow one-dimensionality at short distances from the current-polarized interface enables a simple 1D approximation that is useful for an approximate analysis of trends in this multi-parameter system.

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