Tables and equations of the diffuse double layer repulsion at constant potential and at constant charge

Honig, E. P.; Mul, P.M.

doi:10.1016/0021-9797(71)90171-8

Cited by 114 publications

(41 citation statements)

References 6 publications

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“…Note that Eqs. [2] and [5] satisfy Frens's relation between the interaction energies at constant surface potential and constant surface charge density (8). Also note that effects of electric fields induced within the interacting plates have been neglected in Eq.…”

Section: Interaction Between Two Parallel Similar Platesmentioning

confidence: 98%

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Diffuse Double-Layer Interaction between Two Identical Spherical Colloidal Particles

Ohshima¹

2000

Journal of Colloid and Interface Science

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Section: Interaction Between Two Parallel Similar Platesmentioning

confidence: 98%

“…Equations [2] and [5] are quite a good approximation for small plate separations but become less accurate for larger separations. Only in the limit of low y 0 are Eqs.…”

Section: Interaction Between Two Parallel Similar Platesmentioning

confidence: 98%

Diffuse Double-Layer Interaction between Two Identical Spherical Colloidal Particles

Ohshima¹

2000

Journal of Colloid and Interface Science

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“…The transition from a kinetically stable (no significant change in the number density of the particles during the observation time) to an unstable state of the dispersion is abrupt, so a quantitative criterion of coagulation (or stability) can exist. Using the results of Honig & Mull (1971 ), Valioulis & List (1983) obtained the following criterion for the onset of coagulation for suspended particles in water (assumed to be equivalent to a monovalent symmetrical electrolyte with the same ionic strength) at 20 °C:…”

Section: Particle Interactionsmentioning

confidence: 99%

Monte Carlo simulation of coagulation in discrete particle-size distributions. Part 2. Interparticle forces and the quasi-stationary equilibrium hypothesis

1984

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Hunt (1982) and Friedlander (1960a, b) used dimensional analysis to derive expressions for the steady-state particle-size distribution in aerosols and hydrosols. Their results were supported by the Monte Carlo simulation of a non -interacting coagulating population of suspended spherical particles developed by Pearson, V alioulis & List (1984). Here the realism of the Monte Carlo simulation is improved by accounting for the modification to the coagulation rate caused by van der Waals', electrostatic and hydrodynamic forces acting between particles. The results indicate that the major hypothesis underlying the dimensional reasoning, that is, collisions between particles of similar size are most important in determining the shape of the particle size distribution, is valid only for shear-induced coagulation. It is shown that dimensional analysis cannot, in general, be used to predict equilibrium particle-size distributions, mainly because of the strong dependence of the interparticle force on the absolute and relative size of the interacting particles.

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“…A number of approximate equations for the double layer repulsion force (8)(9)(10)(11) have been compared with numerically calculated results (10-13)3 Since both the force and its derivative are used in our computations, an approximate equation should represent the exact values as accurately as possible. For the case of constant potential of the particles, one of the best approximations for all interparticle distances and a large range of potentials and electrolyte concentrations appeared to be given by Derjaguin's equation (9):…”

Section: J = 8rradvo E9-]mentioning

confidence: 99%

Calculation of the rate of coagulation of hydrophobic colloids in the non-steady state

Roebersen¹,

Wiersema²

1974

Journal of Colloid and Interface Science

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In accurate coagulation measurements, the observed coagulation rate should be extrapolated to time zero to find the rate of formation of doublets from singlet particles. In the theoretical calculation of coagulation rates, generally a steady state is assumed. At the onset of coagulation, however, a transient state is present. The results are given of numerical computations of the transient-state coagulation rate for the cases of Van der Waals attraction only and of Van der Waals attraction combined with double layer repulsion. The duration of the non-steady state is about tile same as the one calculated by Von Smoluchowski for the case of no long-range interaction. It is expected that no transient effects will be found in classical coagulation experiments, but they may interfere with rapid (stopped-flow) measurements of the rate of rapid coagulation.

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Tables and equations of the diffuse double layer repulsion at constant potential and at constant charge

Cited by 114 publications

References 6 publications

Diffuse Double-Layer Interaction between Two Identical Spherical Colloidal Particles

Diffuse Double-Layer Interaction between Two Identical Spherical Colloidal Particles

Monte Carlo simulation of coagulation in discrete particle-size distributions. Part 2. Interparticle forces and the quasi-stationary equilibrium hypothesis

Calculation of the rate of coagulation of hydrophobic colloids in the non-steady state

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