Formation and Structure

Bikerman, J. J.

doi:10.1007/978-3-642-86734-7_2

Cited by 22 publications

(15 citation statements)

References 36 publications

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“…Several modications of the GC theory includes nite size of ions, [13][14][15][16][17][18] saturation of dielectric constants of solvents, [19][20][21][22] numerical solutions 23,24 and computer simulation complicated by ionic properties, 25,26 and electrode-size effects. Eqn (3) is valid only for low concentrations of ions, because the Poisson-Boltzmann distribution might overlap theoretically ions in the double layer beyond their nite size.…”

Section: Introductionmentioning

confidence: 99%

Examination of the Gouy–Chapman theory for double layer capacitance in deionized latex suspensions

et al. 2014

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Electric double layer capacitance at platinum electrodes is controlled by dipole moments of the solvent in the diffuse layer rather than that by ionic distribution, being different from that at mercury electrodes. The controlling step is found by comparing capacitance vs. electrode potential curves in ionic solutions with those in deionized latex suspensions. The curves do not involve a valley shape of Gouy-Chapman (GC)-Stern's type until ionic concentrations are less than 0.05 mM, because measured capacitance is controlled by the inner layer. The valley shape at low concentrations can be measured in deionized sulfonic latex suspensions, whose conductance is brought about by the ionic latex particles rather than the dissociated hydrogen ions. An expression for the capacitance by the ionic latex suspension is derived, which is demonstrated to be the same form of the potential dependence as for mono-valence ions. Ac-impedance data are obtained at parallel polycrystalline platinum wires without an insulating shield. The valley shape is found, which is analyzed by the inverse plot of the capacitance against the hyperbolic cosine of the dimensionless applied potential. The linearity of the plots seems to support the GC-theory, but the capacitance values are much larger than those calculated from the GC-theory. The extra amount can be attributed quantitatively to the orientation of solvent molecules by combining Debye's theory with the GC-theory.

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Section: Introductionmentioning

confidence: 99%

Examination of the Gouy–Chapman theory for double layer capacitance in deionized latex suspensions

et al. 2014

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“…Such an assumption is invalid near a highly charged surface where the concentration of counterion is very high. For such a case, we need to consider the steric interaction by considering the ion size effect [27][28][29][30][31][32][33][34][35][36][37]. The modified Boltzmann distribution based on Carnahan and Starling model [30] that describes the distribution of concentration of mobile ions with finite ion size is given by [34][35][36][37]…”

Section: Mathematical Model and Numerical Methodsmentioning

confidence: 99%

“…It may be noted that the steric effect associated to the finite ion size may leads to an additional contribution to the chemical potential that leads to a significant effect on the particle electrophoresis. One of the earliest work in this direction was made by Bikerman [27]. Till then many theoretical studies have been carried out to consider the steric interactions among ions with finite size [28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

“…Till then many theoretical studies have been carried out to consider the steric interactions among ions with finite size [28][29][30][31][32]. Khair and Squires [33] studied the ion steric effect on the electrophoresis of rigid colloids based on Bikerman [27] model. However, the model proposed by Carnahan and Starling [30] is the most accurate one among existing models for steric interaction of mobile ions with finite size [34].…”

Section: Introductionmentioning

confidence: 99%

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Electrophoresis of hydrophilic/hydrophobic rigid colloid with effects of relaxation and ion size

et al. 2019

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This article deals with a semi‐analytical study on the electrophoresis of charged spherical rigid colloid by considering the effects of relaxation and ion size. The particle surface is taken to be either hydrophilic or hydrophobic in nature. In order to consider the ion size effect we have invoked the Carnahan and Starling model (J. Chem. Phys. 1969, 51, 635‐636). The mathematical model is based on Stokes equation for fluid flow, modified Boltzmann equation for spatial distribution of ionic species and Poisson equation for electric potential. We adopt a linear perturbation technique under a weak electric field assumption. An iterative numerical technique in employed to solve the coupled set of perturbed equations. We have validated the numerically obtained electrophoretic mobility with the corresponding analytical solution derived under low potential limit. Going beyond the widely employed Debye‐Hückel linearization, we have presented the results for a wide range of surface charge density, electrolyte concentration, and slip length to Debye length ratio. We have also identified several interesting features including occurrence of local maxima and minima in the mobility for critical choice of pertinent parameters.

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“…The assumption of point-sized ions loses its sanctity in the limit of high surface potentials and small pore dimensions since the ions occupy a significant fraction of the channel. In addition, for high surface charge densities, the ionic concentrations at the surface, predicted on the basis of point charge theory, turn out to be unrealistically large [39], irrespective of the pore size. An interesting aspect of the concerned phenomena lies in the fact that in ion-selective nanopores, counterions strongly dominate the ionic transport [40].…”

Section: Introductionmentioning

confidence: 99%

Ionic size dependent electroosmosis in ion‐selective microchannels and nanochannels

Bandopadhyay

Chakraborty

2013

Electrophoresis

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Electrokinetics in salt-free media (in which counterions are only present) is central to the performance of many systems of modern technological relevance, ranging from ion-selective nanopores to electronic papers. Here, we introduce an analytical theory to describe the size dependence of electroosmosis in such typical scenarios, exhibiting an interesting confluence of the implications of interdependence of the electroosmotic transport mechanisms, ionic sizes, and confinement dimensions along with the counterion concentration. Our results do reveal that the concerned mobility parameter, describing the strength of electroosmotic transport, increases simultaneously with increments in the surface charge density as well as an ionic size factor (also known as the steric factor), bearing far-ranging consequences in microfluidic and nanofluidic technology.

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Formation and Structure

Cited by 22 publications

References 36 publications

Examination of the Gouy–Chapman theory for double layer capacitance in deionized latex suspensions

Examination of the Gouy–Chapman theory for double layer capacitance in deionized latex suspensions

Electrophoresis of hydrophilic/hydrophobic rigid colloid with effects of relaxation and ion size

Ionic size dependent electroosmosis in ion‐selective microchannels and nanochannels

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