Application of the Charge Regulation Model to the Separation of Ions by Hydrophilic Membranes

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

doi:10.1006/jcis.2001.7720

Cited by 14 publications

(10 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The surface potential also depends on the extent of electrostatic double‐layer overlap because of the specific interaction of ions in the suspension with the pore surface. Biesheuvel et al calculated that the retention of ions in membranes with nanometer‐sized pores sharply decreases when the point of zero charge is approached, in agreement with experiences with hydrophilic membranes 11,12 …”

Section: Theoretical Considerationsmentioning

confidence: 61%

Origin of the Potential Drop Over the Deposit During Electrophoretic Deposition

Anné

Neirinck

Vanmeensel

et al. 2006

Journal of the American Ceramic Society

View full text Add to dashboard Cite

A model is developed to explain the origin of the potential drop over the deposit during electrophoretic deposition (EPD). The magnitude of the potential drop over the deposit is explained in terms of the ion transport through the deposit, as controlled by the pore potential that is related to the thickness of the electrostatic double layer relative to the pore radius and the magnitude of the surface potential of the powder particles. This model is verified for EPD of Al 2 O 3 powder in ethanol-based suspensions with HNO 3 as a function of the operational pH.

show abstract

Section: Theoretical Considerationsmentioning

confidence: 61%

Origin of the Potential Drop Over the Deposit During Electrophoretic Deposition

Anné

Neirinck

Vanmeensel

et al. 2006

Journal of the American Ceramic Society

View full text Add to dashboard Cite

show abstract

“…Recently, due to the advances in nanofabrication technology, there has been an increasing number of experimental studies of the solid-liquid interface using nanochannels [6][7][8][9][10][11]. Though much work has been dedicated towards understanding how the electric double layer influences the flow of electrolytes at the nanoscale [12][13][14], there are still large quantitative discrepancies between theoretical modeling and experimental observations [5,15].…”

Section: Introductionmentioning

confidence: 95%

Surface-dependent chemical equilibrium constants and capacitances for bare and 3-cyanopropyldimethylchlorosilane coated silica nanochannels

Andersen

Frey

Pennathur

et al. 2011

Journal of Colloid and Interface Science

View full text Add to dashboard Cite

“…]/8π + dzΦρ/2 and use Eq. (20). It then follows the second line, where the integration region d 0 < z < H − d H has been changed to 0 < z < H and σ A is related to ρ by Eq.…”

Section: B Electric Potential and Stern Layersmentioning

confidence: 84%

Ionization at a solid-water interface in an applied electric field: Charge regulation

Okamoto

Ōnuki

2016

The Journal of Chemical Physics

View full text Add to dashboard Cite

We investigate ionization at a solid-water interface in an applied electric field. We attach an electrode to a dielectric film bearing silanol or carboxyl groups with an areal density Γ, where the degree of dissociation α is determined by the proton density in water close to the film. We show how α depends on the density n of NaOH in water and the surface charge density σ on the electrode. For σ > 0, the protons are expelled away from the film, leading to an increase in α. In particular, in the range 0 < σ < eΓ, self-regulation occurs to realize α ≅ σ/eΓ for n ≪ n, where n is 0.01 mol/L for silica surfaces and is 2 × 10 mol/L for carboxyl-bearing surfaces. We also examine the charge regulation with decreasing the cell thickness H below the Debye length κ, where a crossover occurs at the Gouy-Chapman length. In particular, when σ ∼ eΓ and H ≪ κ, the surface charges remain only partially screened by ions, leading to a nonvanishing electric field in the interior.

show abstract

Application of the Charge Regulation Model to the Separation of Ions by Hydrophilic Membranes

Cited by 14 publications

References 31 publications

Origin of the Potential Drop Over the Deposit During Electrophoretic Deposition

Origin of the Potential Drop Over the Deposit During Electrophoretic Deposition

Surface-dependent chemical equilibrium constants and capacitances for bare and 3-cyanopropyldimethylchlorosilane coated silica nanochannels

Ionization at a solid-water interface in an applied electric field: Charge regulation

Contact Info

Product

Resources

About