Electrophoresis of spherical polymer-coated colloidal particles

Hill, Reghan J.; Saville, D. A.; Russel, William B.

doi:10.1016/s0021-9797(02)00043-7

Cited by 219 publications

(375 citation statements)

References 24 publications

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“…Successful application of that model has been reported for humic acids [46], bacteria [47] and red blood cells [48]. For numerical calculations of the electrophoretic mobility based on more rigorous theories, the readers are referred to the studies of Hill et al [49][50][51][52] and Lopez-Garcia et al [53][54][55] as well as that of Duval and Ohshima [45].…”

Section: Electrophoretic Mobility Of Soft Particlesmentioning

confidence: 99%

Theory of electrostatics and electrokinetics of soft particles

Ohshima

2009

Science and Technology of Advanced Materials

137

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We investigate theoretically the electrostatics and electrokinetics of a soft particle, i.e. a hard particle covered with an ion-penetrable surface layer of polyelectrolytes. The electric properties of soft particles in an electrolyte solution, which differ from those of hard particles, are essentially determined by the Donnan potential in the surface layer. In particular, the Donnan potential plays an essential role in the electrostatics and electrokinetics of soft particles. Furthermore, the concept of zeta potential, which is important in the electrokinetics of hard particles, loses its physical meaning in the electrokinetics of soft particles. In this review, we discuss the potential distribution around a soft particle, the electrostatic interaction between two soft particles, and the motion of a soft particle in an electric field.

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Section: Electrophoretic Mobility Of Soft Particlesmentioning

confidence: 99%

Theory of electrostatics and electrokinetics of soft particles

Ohshima

2009

Science and Technology of Advanced Materials

137

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“…The equations are solved by perturbing (to linear order) from an equilibrium base state where u = 0 and the equilibrium electrostatic potential, ion concentrations and pressure are denoted ψ 0 , n 0 j , and p 0 , respectively (O'Brien & White 1978;Hill et al 2003). With the application of a uniform electric field E,…”

Section: Electrokinetic Transportmentioning

confidence: 99%

“…This produces the momentum conservation equation in the electrophoresis problem [i.e., Eqn. (2.3) without the Darcy † The electrophoretic mobilities reported here were calculated using software (called MPEK, available from the corresponding author) based on the methodology of Hill, Saville and Russel (Hill et al 2003) for the electrophoretic mobility and other single-particle properties of spherical polymer-coated colloids. Here, the influence of a polymer coating is removed by specifying an infinite (large) Darcy permeability for the coating.…”

Section: Connection To the Electrophoretic Mobilitymentioning

confidence: 99%

Electric-field-induced displacement of a charged spherical colloid embedded in an elastic Brinkman medium

Hill

Ostoja–Starzewski

2008

Phys. Rev. E

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When an electric field is applied to an electrolyte-saturated polymer gel embedded with charged colloidal particles, the force that must be exerted by the hydrogel on each particle reflects a delicate balance of electrical, hydrodynamic and elastic stresses. This paper examines the displacement of a single charged spherical inclusion embedded in an uncharged hydrogel. We present numerically exact solutions of coupled electrokinetic transport and elastic-deformation equations, where the gel is treated as an incompressible, elastic Brinkman medium. This model problem demonstrates how the displacement depends on the particle size and charge, the electrolyte ionic strength, and Young's modulus of the polymer skeleton. The numerics are verified, in part, with an analytical (boundary-layer) theory valid when the Debye length is much smaller than the particle radius. Further, we identify a close connection between the displacement when a colloid is immobilized in a gel and its velocity when dispersed in a Newtonian electrolyte. Finally, we describe an experiment where nanometer-scale displacements might be accurately measured using back-focal-plane interferometry. The purpose of such an experiment is to probe physicochemical and rheological characteristics of hydrogel composites, possibly during gelation.

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“…This coupling has been widely used to interpret the electrophoretic mobility and other characteristics of 'soft' colloidal particles and their dispersions 10,13,16,21,24 . The model comprises the (non-linear) Poisson-Boltzmann equation…”

Section: A Microscale Modelmentioning

confidence: 99%

Transport in polymer-gel composites: Response to a bulk concentration gradient

Hill

2006

The Journal of Chemical Physics

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This paper examines the response of electrolyte-saturated polymer gels, embedded with charged spherical inclusions, to a weak gradient of electrolyte concentration. These composites present a model system to study microscale electrokinetic transport processes, and a rigorous theoretical prediction of the bulk properties will benefit novel diagnostic applications. An electrokinetic model was presented in an earlier publication, and the response of homogeneous composites to a weak electric field was calculated. In this work, the influence of the inclusions on bulk ion fluxes and the strength of an electric field (or membrane diffusion potential) induced by the bulk electrolyte concentration gradient are computed. Effective ion diffusion coefficients are significantly altered by the inclusions, so-depending on the inclusion surface charge or ζ-potential-asymmetric electrolytes can behave as symmetrical electrolytes, and vice versa. The theory also quantifies the strength of flow driven by concentration-gradient-induced perturbations to the equilibrium diffuse double layers. Similarly to diffusiophoresis, the flow may be either up or down the applied concentration gradient.

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Electrophoresis of spherical polymer-coated colloidal particles

Cited by 219 publications

References 24 publications

Theory of electrostatics and electrokinetics of soft particles

Theory of electrostatics and electrokinetics of soft particles

Electric-field-induced displacement of a charged spherical colloid embedded in an elastic Brinkman medium

Transport in polymer-gel composites: Response to a bulk concentration gradient

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