Manning condensation in ion exchange membranes: A review on ion partitioning and diffusion models

Kitto, David; Kamcev, Jovan

doi:10.1002/pol.20210810

Manning condensation in ion exchange membranes: A review on ion partitioning and diffusion models

Journal Article · Mon Jan 10 00:00:00 EST 2022 · Journal of Polymer Science

DOI:https://doi.org/10.1002/pol.20210810· OSTI ID:2421998

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Univ. of Michigan, Ann Arbor, MI (United States); OSTI
Univ. of Michigan, Ann Arbor, MI (United States)

Here, the rational design of ion exchange membranes (IEMs) is becoming more pertinent as their usage becomes broader and as their staple applications (i.e., electrodialysis, flow batteries, and fuel cells) improve in commercial viability. Such efforts would be catalyzed by an improved fundamental understanding of ion transport in IEMs. This review discusses recent progress in modeling ion partitioning and diffusion in IEMs in an effort to relate IEM performance metrics to fundamental membrane properties over which researchers and membrane manufacturers possess direct and sometimes precise control. Central focus is given to the Donnan-Manning model for ion partitioning and the Manning-Meares model for ion diffusion in IEMs. These two frameworks, which are derived from Manning's counter-ion condensation theory for polyelectrolyte solutions, have been widely used within the IEM literature since their recent introduction. To explore this topic, the mathematical derivation of both models is revisited, followed by a survey of experimental and computational discussions of counter-ion condensation in IEMs. Alternative models which fulfill similar roles in predicting IEM transport properties are compared. This review concludes by highlighting the uniquely favorable positions of the Donnan-Manning and Manning-Meares models and discussing their prospects as leading predictors of IEM partitioning and diffusive properties.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0022040

OSTI ID:: 2421998

Alternate ID(s):: OSTI ID: 1839143

Journal Information:: Journal of Polymer Science, Journal Name: Journal of Polymer Science Journal Issue: 21 Vol. 60; ISSN 2642-4150

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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Maximizing the right stuff: The trade-off between membrane permeability and selectivity Park, Ho Bum; Kamcev, Jovan; Robeson, Lloyd M. Science, Vol. 356, Issue 6343 https://doi.org/10.1126/science.aab0530	journal	June 2017
Quantifying the impact of molecular defects on polymer network elasticity Zhong, M.; Wang, R.; Kawamoto, K. Science, Vol. 353, Issue 6305 https://doi.org/10.1126/science.aag0184	journal	September 2016
Prospects of Membrane Science Development Apel, P. Yu.; Bobreshova, O. V.; Volkov, A. V. Membranes and Membrane Technologies, Vol. 1, Issue 2 https://doi.org/10.1134/S2517751619020021	journal	March 2019
Effect of carbon nanotubes on the isotropic to nematic and the nematic to smectic- A phase transitions in liquid crystal and carbon nanotubes composites Sigdel, K. P.; Iannacchione, G. S. The European Physical Journal E, Vol. 34, Issue 4 https://doi.org/10.1140/epje/i2011-11034-7	journal	April 2011
A counterion condensation theory for the relaxation, rise, and frequency dependence of the parallel polarization of rodlike polyelectrolytes Manning, G. S. The European Physical Journal E, Vol. 34, Issue 4 https://doi.org/10.1140/epje/i2011-11039-2	journal	April 2011
Charged Polymer Membranes for Environmental/Energy Applications Kamcev, Jovan; Freeman, Benny D. Annual Review of Chemical and Biomolecular Engineering, Vol. 7, Issue 1 https://doi.org/10.1146/annurev-chembioeng-080615-033533	journal	June 2016
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