Electrostatic potential distribution of a soft spherical particle with a charged core and pH-dependent charge density

McDaniel, Kyle; Valcius, Fedra; Andrews, Joseph; Das, Siddhartha

doi:10.1016/j.colsurfb.2015.01.025

Cited by 29 publications

(19 citation statements)

References 58 publications

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“…For simplicity, we change the notations from r 1 to r, r 2 to r . The volume element in spherical coordinates is dV = 2π sin θ dθ r 2 dr, so the equation (16) can be rewritten in the form…”

Section: Ii3 Interaction Energymentioning

confidence: 99%

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Interaction Between Two Charged-Hardcore Soft Particles

Bui¹,

Ngo²,

Nguyen³

et al. 2017

Comm. in Phys.

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During two last decades, theories of soft-particles has been introduced and developed in order to describe the behavior of bacteria and virus which can be considered as the bio-colloid particles. Soft particles are assumed to be consist of a rigid core inside an ion-permeable shell. The outer layer is always negatively charged while the core can be neutral or charged. In this paper, we investigate the interaction between two identical soft-particles with charged core. We derived the analytic formula for the interaction energy in a compact form. We showed that this interaction energy involving a screened Coulomb-like interaction term with a distance-independent coefficient. The numerical calculations showed that the interaction energy has very small amplitude and exponentially decay on the distance between the soft particles. The results indicate that it is possible to measure this kind of interaction energy when the system is put into a salt solution with the concentration low enough.

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Section: Ii3 Interaction Energymentioning

confidence: 99%

“…Other authors have contributed on the refinement of SPE theory by modifying the electrostatic structure of the model. It has been shown that either the heterogeneous properties of the soft layer [7,[11][12][13] or the non-neutral charge of the inner core [14][15][16][17] would take strong effect on the particle EPM value.…”

Section: Introductionmentioning

confidence: 99%

Interaction Between Two Charged-Hardcore Soft Particles

Bui¹,

Ngo²,

Nguyen³

et al. 2017

Comm. in Phys.

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“…If the rigid core of the soft particle is non-polarizable (perfect dielectric), a constant surface charge density condition can be prescribed. However, as pointed-out by McDaniel et al [23], several biological entities can have polarizable cores with a finite dielectric permittivity. For example, protein molecules, which have an ion-impenetrable volumecharged core.…”

Section: Introductionmentioning

confidence: 97%

“…Phan et al [24] provided an analytical expression for the potential distribution which depends on the volume charge density and dielectric constant. McDaniel et al [23] extended the study of Phan et al [24] to determine numerically the electric potential distribution of a soft particle with a pH-dependent shell charge density. However, none of these studies provide the electrophoretic velocity of a soft particle with a charged rigid core and a charged shell.…”

Section: Introductionmentioning

confidence: 98%

“…For example, protein molecules, which have an ion-impenetrable volumecharged core. Recently, Phan et al [24] and McDaniel et al [23] considered a soft particle with a constant volume charge density of the rigid core. Phan et al [24] provided an analytical expression for the potential distribution which depends on the volume charge density and dielectric constant.…”

Section: Introductionmentioning

confidence: 99%

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Effect of core charge density on the electrophoresis of a soft particle coated with polyelectrolyte layer

2016

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The electrophoresis of a charged soft particle with charged rigid core is considered under a weak imposed field condition. The rigid core of the soft particle is considered to have a finite dielectric permittivity and a fixed volume charge density. The electric potential distribution is determined by solving the Poisson-Boltzman equation out side the rigid core and a Poisson equation within the core along with continuity conditions on the core-shell interface. We have extended the analytic expression of Ohshima (Electrophoresis 27:526-533, 2006) for the electrophoretic mobility of a soft particle with a charged shell to include the effect of the volume charge density of the rigid core. Mobility based on the present expression matches exactly with the existing analytical solutions for a soft particle with an uncharged core. We have also made a comparison of our solution for mobility with an uncharged rigid core with the existing experimental results. The impact of the core charge density on the soft particle mobility is analyzed.

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Electrophoresis of spherical soft particles in electrolyte solutions: A review

et al. 2019

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Theories on the electrophoresis of spherical soft particles suspended in an electrolyte solution are thoroughly reviewed. The review predominantly covers studies on the electrophoresis in dilute and concentrated suspensions as well as bounded media, carried out mainly during the past two decades. Moreover, studies on the electrostatics of soft particles are also surveyed. Finally, the research gaps and prospects of the electrophoresis of soft particles are presented.

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Electrostatic potential distribution of a soft spherical particle with a charged core and pH-dependent charge density

Cited by 29 publications

References 58 publications

Interaction Between Two Charged-Hardcore Soft Particles

Interaction Between Two Charged-Hardcore Soft Particles

Effect of core charge density on the electrophoresis of a soft particle coated with polyelectrolyte layer

Electrophoresis of spherical soft particles in electrolyte solutions: A review

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