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Volume 181, 2015
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A thermodynamic gauge for mobile counter-ions from colloids and nanoparticles

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Abstract

A thermodynamic equilibrium sensor is proposed that measures the ratio of the number of elementary charges z to the mass m of charged solutes such as charged colloids and nanoparticles. The sensor comprises a small, membrane-encapsulated salt solution volume that absorbs neutral salt molecules in response to the release of mobile counter-ions by charge carriers in the surrounding suspension. The sensor state emerges as a limiting case of the equilibrium salt imbalance, and the ensuing osmotic pressure difference, between arbitrary salt and suspension volumes. A weight concentration of charge carriers c is predicted to significantly increase the sensor's salt number density from its initial value ρs,0 to ρRs, according to the relation (ρRs/ρs,0)2 − 1 = zc/s,0, under the assumption that the mobile ions involved in the thermodynamic sensor-suspension equilibrium are ideal and homogeneously distributed.

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Article information


Submitted
12 Dec 2014
Accepted
23 Dec 2014
First published
23 Apr 2015

Faraday Discuss., 2015,181, 103-121
Article type
Paper
Author version available

A thermodynamic gauge for mobile counter-ions from colloids and nanoparticles

A. P. Philipse, B. W. M. Kuipers and A. Vrij, Faraday Discuss., 2015, 181, 103
DOI: 10.1039/C4FD00261J

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