Volume 181, 2015

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

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.

Associated articles

Article information

Article type
Paper
Submitted
12 Dec 2014
Accepted
23 Dec 2014
First published
23 Apr 2015

Faraday Discuss., 2015,181, 103-121

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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