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Cited by 333

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Ion Exchange Kinetics. A Nonlinear Diffusion Problem

Helfferich, F., Plesset, M. S.·1958·The Journal of Chemical Physics

Abstract

Ideal limiting laws are calculated for the kinetics of particle diffusion controlled ion exchange processes involving ions of different mobilities between spherical ion exchanger beads of uniform size and a well-stirred solution. The calculations are based on the nonlinear Nernst-Planck equations of ionic motion, which take into account the effect of the electric forces (diffusion potential) within the system. Numerical results for counter ions of equal valence and six different mobility ratios are presented. They were obtained by use of a digital computer. This approach contains the well-known solution to the corresponding linear problem as a limiting case. An explicit empirical formula approximating the numerical results is given.

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Metadata

Authors
Helfferich, F., & Plesset, M. S.
Venue
The Journal of Chemical Physics
Published
1958-03-01
Volume
28
Issue
3
Pages
418-424
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
OpenAlex
W2063498940
Cited by
333
References
1
FWCI
4.88
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Ion Exchange Kinetics. A Nonlinear Diffusion Problem. https://app.cochat.ai/papers/10.1063/1.1744149
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Helfferich, F., & Plesset, M. S. (1958). Ion Exchange Kinetics. A Nonlinear Diffusion Problem. The Journal of Chemical Physics. https://doi.org/10.1063/1.1744149

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.