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To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
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Like-charge polymer-membrane complexation mediated by multivalent cations: One-loop-dressed strong coupling theory.

Sahin Buyukdagli1, Rudolf Podgornik2

  • 1Department of Physics, Bilkent University, Ankara 06800, Turkey.

The Journal of Chemical Physics
|September 8, 2019
PubMed
Summary
This summary is machine-generated.

Multivalent counterions drive polyelectrolyte adsorption onto like-charged membranes by condensing at the surface. This condensation enhances screening and attraction, even for weakly charged membranes, explaining experimental observations.

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Area of Science:

  • Physical Chemistry
  • Materials Science
  • Polymer Science

Background:

  • Polyelectrolyte adsorption onto charged surfaces is crucial in various applications.
  • Understanding the electrostatic forces governing these interactions is key.
  • Like-charge adsorption presents a counterintuitive phenomenon requiring detailed investigation.

Purpose of the Study:

  • To elucidate the electrostatic mechanism behind polyelectrolyte adsorption onto like-charged membranes.
  • To investigate the role of multivalent counterions in mediating this adsorption.
  • To develop a theoretical framework explaining adsorption phenomena observed in experiments.

Main Methods:

  • Development of a one-loop-dressed strong coupling theory.
  • Treatment of monovalent salt at the electrostatic one-loop level.
  • Application of a strong-coupling approach for multivalent counterions.

Main Results:

  • Multivalent counterion condensation at the membrane surface drives adsorption.
  • Interfacial counterion excess enhances local screening and minimizes electrostatic polymer grand potential.
  • High counterion valency enables adsorption even on weakly charged membranes.
  • Monovalent counterions can induce correlations and intensify multivalent condensation on strongly charged membranes.
  • Critical counterion concentration for adsorption decreases with increasing counterion valency.
  • Monovalent salt addition screens membrane charges, suppresses correlations, weakens condensation, and causes desorption.

Conclusions:

  • The study provides a theoretical explanation for like-charge adsorption driven by multivalent counterions.
  • The findings highlight the critical role of counterion valency and concentration in controlling polyelectrolyte-membrane interactions.
  • The developed theory successfully explains key experimental observations regarding adsorption and desorption phenomena.