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  4. Theoretical treatment and numerical simulation of potential and concentration profiles in extremely thin non-electroneutral membranes used for ion-selective electrodes
 
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research article

Theoretical treatment and numerical simulation of potential and concentration profiles in extremely thin non-electroneutral membranes used for ion-selective electrodes

Morf, Werner
•
Pretsch, E.
•
de Rooij, Nicolaas F.  
2010
Journal of Electroanalytical Chemistry

The applicability of extremely thin non-electroneutral membranes for ion-selective electrodes (ISEs) is investigated. A theoretical treatment of potential and concentration profiles in space-charge membranes of <<1 µm thickness is presented. The theory is based on the Nernst–Planck equation for ion fluxes, which reduces to Boltzmann’s formula at equilibrium, and on the Poisson relationship between space-charge density and electric field gradient. A general solution in integral form is obtained for the potential function and the corresponding ion profiles at equilibrium. A series of explicit sub-solutions is derived for particular cases. Membrane systems with up to three different ion species are discussed, including trapped ionic sites and co-extracted ions. Solid-contacted thin membranes (without formation of aqueous films at the inner interface) are shown to exhibit a sub-Nernstian response. The theoretical results are confirmed by numerical simulations using a simplified finite-difference procedure based on the Nernst–Planck–Poisson model, which are shown to be in excellent agreement.

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Type
research article
DOI
10.1016/j.jelechem.2010.01.001
Web of Science ID

WOS:000275921900007

Author(s)
Morf, Werner
•
Pretsch, E.
•
de Rooij, Nicolaas F.  
Date Issued

2010

Publisher

Elsevier

Published in
Journal of Electroanalytical Chemistry
Volume

641

Start page

45

End page

56

Subjects

Ion-selective electrodes

•

Thin membranes

•

Space-charge

•

Potential

•

Concentration profiles

•

Theory

•

Numerical simulation

•

Nernst-Planck-Poisson model

•

Ionophore Diffusion-Coefficients

•

Time-Dependent Phenomena

•

Nernst-Planck

•

Polymeric Membrane

•

Solid-Contact

•

Computer-Simulation

•

Poisson Equations

•

Carbon Nanotubes

•

Liquid-Junction

•

Detection Limit

Peer reviewed

NON-REVIEWED

Written at

EPFL

EPFL units
SAMLAB  
Available on Infoscience
April 8, 2010
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/49255
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