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Conductivity of a Concentrated Spherical Colloidal Dispersion

The conductivity of a concentrated suspension of charged spherical particles at an arbitrary level of surface potential is estimated. The cell model proposed by Kuwabara is adopted to simulate the present many-body problem by taking the effect of double-layer polarization into account. Several inter...

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Bibliographic Details
Published in:The journal of physical chemistry. B 2001-02, Vol.105 (4), p.747-753
Main Authors: Lee, Eric, Chih, Ming-Hui, Hsu, Jyh-Ping
Format: Article
Language:English
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Summary:The conductivity of a concentrated suspension of charged spherical particles at an arbitrary level of surface potential is estimated. The cell model proposed by Kuwabara is adopted to simulate the present many-body problem by taking the effect of double-layer polarization into account. Several interesting results are found which cannot be observed if the corresponding linearized model is considered. For example, if φ r has a medium value, (K*/K ∞) has a local minimum as κa varies, φ r , K*, K ∞, κ, and a being respectively the scaled surface potential, the effective conductivity, the effective conductivity for an infinitely dilute dispersion, the reciprocal Debye length, and the radius of a particle. For both κa → 0 and κa → ∞, (K*/K ∞) decreases with the increase in the volume fraction of the dispersed phase, and the reverse is true for a medium κa. For a fixed κa, the variation of (K*/K ∞) as a function of φ r may have a local minimum as α (=valence of counterions/valence of co-ions) varies. For a fixed φ r , the variation of (K*/K ∞) as a function of κa may have a local minimum as α varies.
ISSN:1520-6106
1520-5207
DOI:10.1021/jp002459l