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Classical Density Functional Treatment of Polydisperse Polarizable Clusters

Woodward, Clifford E. ; Ribar, David LU orcid and Forsman, Jan LU (2026) In The journal of physical chemistry. B 130(15). p.4196-4206
Abstract

Ion clustering has been proposed as a mechanism leading to the peculiar "anomalous underscreening" phenomenon seen for electrostatic interactions between charged surfaces immersed in concentrated electrolytes. These interactions have been measured using the Surface Force Apparatus, according to which there are strong repulsive interactions between like-charged surfaces, with a range that increases upon further addition of salt, above some threshold concentration. A common suggestion is that ionic aggregates, if they form in sufficient numbers, will reduce the concentration of free ions and thereby increase the nominal Debye length. In previous work, we investigated a cluster model using classical Density Functional Theory (cDFT) and a... (More)

Ion clustering has been proposed as a mechanism leading to the peculiar "anomalous underscreening" phenomenon seen for electrostatic interactions between charged surfaces immersed in concentrated electrolytes. These interactions have been measured using the Surface Force Apparatus, according to which there are strong repulsive interactions between like-charged surfaces, with a range that increases upon further addition of salt, above some threshold concentration. A common suggestion is that ionic aggregates, if they form in sufficient numbers, will reduce the concentration of free ions and thereby increase the nominal Debye length. In previous work, we investigated a cluster model using classical Density Functional Theory (cDFT) and a polymer-like description of the ion clusters. These clusters were monodisperse and of either a linear or branched architecture, and a fixed charge sequence along the chains. In this work, we generalize the cDFT to treat "living polymers" with variable chain lengths and charge arrangements along the chain. This approach allows clusters to become polarized by the presence of charged surfaces, manifested by like-charged bonding. We find that even with a small degree of like-charged bonding a full equilibrium treatment of our model predicts only weak repulsion between like-charged surfaces. When a global constraint is applied so that the charged surfaces are neutralized only by the dissociated ions, while the clusters contribute overall zero charge, even a very small fraction of clustering ions generate strong and long-ranged forces. Moreover, if the cluster fraction increase substantially upon the addition of further salt, then the strength of the surface forces will also increase, although the range remains roughly constant.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
The journal of physical chemistry. B
volume
130
issue
15
pages
11 pages
publisher
The American Chemical Society (ACS)
external identifiers
  • scopus:105035883432
  • pmid:41870182
ISSN
1520-5207
DOI
10.1021/acs.jpcb.5c08060
language
English
LU publication?
yes
id
b5b17cc3-fc67-440e-9cd4-6a17cda2afcc
date added to LUP
2026-04-25 14:51:31
date last changed
2026-06-20 18:51:40
@article{b5b17cc3-fc67-440e-9cd4-6a17cda2afcc,
  abstract     = {{<p>Ion clustering has been proposed as a mechanism leading to the peculiar "anomalous underscreening" phenomenon seen for electrostatic interactions between charged surfaces immersed in concentrated electrolytes. These interactions have been measured using the Surface Force Apparatus, according to which there are strong repulsive interactions between like-charged surfaces, with a range that increases upon further addition of salt, above some threshold concentration. A common suggestion is that ionic aggregates, if they form in sufficient numbers, will reduce the concentration of free ions and thereby increase the nominal Debye length. In previous work, we investigated a cluster model using classical Density Functional Theory (cDFT) and a polymer-like description of the ion clusters. These clusters were monodisperse and of either a linear or branched architecture, and a fixed charge sequence along the chains. In this work, we generalize the cDFT to treat "living polymers" with variable chain lengths and charge arrangements along the chain. This approach allows clusters to become polarized by the presence of charged surfaces, manifested by like-charged bonding. We find that even with a small degree of like-charged bonding a full equilibrium treatment of our model predicts only weak repulsion between like-charged surfaces. When a global constraint is applied so that the charged surfaces are neutralized only by the dissociated ions, while the clusters contribute overall zero charge, even a very small fraction of clustering ions generate strong and long-ranged forces. Moreover, if the cluster fraction increase substantially upon the addition of further salt, then the strength of the surface forces will also increase, although the range remains roughly constant.</p>}},
  author       = {{Woodward, Clifford E. and Ribar, David and Forsman, Jan}},
  issn         = {{1520-5207}},
  language     = {{eng}},
  month        = {{04}},
  number       = {{15}},
  pages        = {{4196--4206}},
  publisher    = {{The American Chemical Society (ACS)}},
  series       = {{The journal of physical chemistry. B}},
  title        = {{Classical Density Functional Treatment of Polydisperse Polarizable Clusters}},
  url          = {{http://dx.doi.org/10.1021/acs.jpcb.5c08060}},
  doi          = {{10.1021/acs.jpcb.5c08060}},
  volume       = {{130}},
  year         = {{2026}},
}