Application of the Charge Regulation Model to Transport of Ions through Hydrophilic Membranes: One-Dimensional Transport Model for Narrow Pores (Nanofiltration)

Lint, W.B. Samuel de; Biesheuvel, P.M.; Verweij, H.

doi:10.1006/jcis.2002.8363

Cited by 42 publications

(42 citation statements)

References 43 publications

(90 reference statements)

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“…The model also provides the detailed structure of the extended space-charge region and yields the simple expression Eq. (20) for the maximum value of the charge density ρ el . The analytical model has been successfully tested against direct numerical simulations (see, e.g., Fig.…”

Section: Discussionmentioning

confidence: 99%

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Transport-limited water splitting at ion-selective interfaces during concentration polarization

Nielsen

Bruus

2014

Phys. Rev. E

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We present an analytical model of salt-and water-ion transport across an ion-selective interface based on an assumption of local equilibrium of the water-dissociation reaction. The model yields current-voltage characteristics and curves of water-ion current versus salt-ion current, which are in qualitative agreement with experimental results published in the literature. The analytical results are furthermore in agreement with direct numerical simulations. As part of the analysis, we find approximate solutions to the classical problem of pure salt transport across an ion-selective interface. These solutions provide closed-form expressions for the current-voltage characteristics, which include the overlimiting current due to the development of an extended space-charge region. Finally, we discuss how the addition of an acid or a base affects the transport properties of the system and thus provide predictions accessible to further experimental tests of the model.

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Section: Discussionmentioning

confidence: 99%

“…Apart from being relevant for classical concentration polarization in macroscopic systems, our investigation of water splitting is motivated by the recent studies which highlight the importance of reactions between hydronium and surface groups in microsystems [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Transport-limited water splitting at ion-selective interfaces during concentration polarization

Nielsen

Bruus

2014

Phys. Rev. E

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“…In the model the solvent and solute activity coefficients are assumed unity and radial pore potential gradients are neglected [5,8]. For the pore sizes used in this study (<2 nm) this uniform potential approach can be confidently used (see Fig.…”

Section: Theorymentioning

confidence: 99%

“…A NF membrane performs ion separation best at pH values far from its iso-electric point (IEP), as this corresponds to a high membrane potential. Apart from the pH, the membrane potential and charge is also a strong function of the type of ions present in the electrolyte solution and their concentration [1][2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Electrolyte retention of supported bi-layered nanofiltration membranes

Lint

Zivkovic

Benes

et al. 2006

Journal of Membrane Science

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The electrolyte separation behaviour of a supported bi-layered ceramic membrane is investigated experimentally and the measured ion retentions are compared with the predictions of a site-binding transport model with no adjustable parameters. Due to the difference in iso-electric point between its two separating layers, the bi-layered system is expected to perform better over a large pH range compared with a membrane with only one type of selective layer. The separating layers in the membrane are a microporous silica and a mesoporous ␥-alumina (pore sizes of 0.8 and 2 nm, respectively) and their retention is studied for a binary electrolyte solution of NaCl at 1 mol/m 3 for pH values between 4 and 10. Because of its smaller pores and high charge, the silica layer mainly determines the membrane retention at neutral and alkaline pH, while the ␥-alumina layer has a significant impact on the NaCl retention at 4 < pH < 5. The model predictions are in good agreement with the experimental data for Na + at 4 < pH < 9 and for Cl − at the whole pH range. For a pH of 4, the predicted chloride retention is lower than the sodium retention while the experimental data show the opposite effect.

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“…Charge regulation has been invoked and widely applied in the context of various colloidal systems: stability and inter-surface forces due to the electrostatic double-layers [7,25], dissociation of amino acids and the corresponding electrostatic protein-protein interactions [26,[28][29][30], charge regulation of protein aggregates and viral shells [31], and of polyelectrolytes and polyelectrolyte brushes [32][33][34][35], as well as charge regulation of charged lipid membranes [36][37][38]. Here, we specifically dedicate ourselves to the problem of the connection between charge regulation and electrostatic interactions between proteins in ionic solutions [1,27].…”

Section: Introductionmentioning

confidence: 99%

Titratable macroions in multivalent electrolyte solutions: Strong coupling dressed ion approach

Adžić

Podgornik

2016

The Journal of Chemical Physics

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We present a theoretical description of the effect of polyvalent ions on the interaction between titratable macro-ions. The model system consists of two point-like macro-ions with dissociable sites, immersed in an asymmetric ionic mixture of monovalent and polyvalent salts. We formulate a dressed ion strong coupling theory, based on the decomposition of the asymmetric ionic mixture into a weakly electrostatically coupled monovalent salt, and into polyvalent ions that are strongly electrostatically coupled to the titratable macro-ions. The charge of the macroions is not considered as fixed, but is allowed to respond to local bathing solution parameters (electrostatic potential, pH of the solution, salt concentration) through a simple charge regulation model. The approach presented, yielding an effective polyvalent-ion mediated interaction between charge-regulated macro-ions at various solution conditions, describes the strong coupling equivalent of the Kirkwood-Schumaker interaction.

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Application of the Charge Regulation Model to Transport of Ions through Hydrophilic Membranes: One-Dimensional Transport Model for Narrow Pores (Nanofiltration)

Cited by 42 publications

References 43 publications

Transport-limited water splitting at ion-selective interfaces during concentration polarization

Transport-limited water splitting at ion-selective interfaces during concentration polarization

Electrolyte retention of supported bi-layered nanofiltration membranes

Titratable macroions in multivalent electrolyte solutions: Strong coupling dressed ion approach

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