The interaction between a charged wall and its counterions: a condensation theory

The Journal of Physical Chemistry. B
G S Manning

Abstract

We use the theory of counterion condensation to calculate the potential of mean force between a charged planar wall and an oppositely charged ion of unsigned valence Z. We find two solutions to this problem, an outer potential when the Z-ion is relatively far from the wall and an inner one when it is relatively close. There is a discontinuous upward jump from one to the other branch, as the Z-ion approaches the wall. The jump must occur at the wall itself, and we attribute it to interaction with the condensed layer of counterions which resides on the wall. At an infinitesimal distance from the wall, the Z-ion encounters a repulsive force resisting penetration of the condensed layer. Then, when the Z-ion penetrates the condensed layer, Z univalent counterions are released from the condensed layer into the bulk solution, maintaining the effective charge on the wall at an invariant critical value. We discuss the possible connections of the theory with published data from molecular dynamics simulations on lipid bilayers.

References

Oct 7, 2004·Proceedings of the National Academy of Sciences of the United States of America·Sergei Y PonomarevDavid L Beveridge
Apr 13, 2006·Chemical Reviews·Max L BerkowitzSagar Pandit
Oct 20, 2006·The Journal of Physical Chemistry. B·Xuhong GuoPaul L Dubin
Mar 29, 2007·The Journal of Physical Chemistry. B·Gerald S Manning

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Citations

Dec 27, 2011·The European Physical Journal. E, Soft Matter·G S Manning
Jun 9, 2014·The Journal of Chemical Physics·Hiroaki YoshidaJean-Louis Barrat
Jul 15, 2017·ACS Applied Materials & Interfaces·Saeed MasoumiMohammad Javad Abdolhosseini Qomi
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anoop VargheseR Rajesh
Apr 20, 2018·Science Advances·Lisa B DreierMischa Bonn
Dec 10, 2017·The Journal of Chemical Physics·Ravi Bhadauria, N R Aluru
Apr 1, 2021·The Journal of Physical Chemistry Letters·Sona KremDoseok Kim
Jan 26, 2018·Journal of the American Chemical Society·Mark BurgessJoaquín Rodríguez-López
Mar 1, 2018·The Journal of Physical Chemistry. B·Jenée D CyranMischa Bonn

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