Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Pivotal Roles of Triple Screening-Topological, Electrostatic, and Hydrodynamic-On Dynamics in Semidilute Polyelectrolyte Solutions

Journal Article · · Macromolecules
 [1];  [2];  [3];  [1];  [4];  [5];  [6];  [2]
  1. Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)
  2. Univ. of Houston, TX (United States)
  3. National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)
  4. Univ. of Rhode Island, Kingston, RI (United States)
  5. Univ. of Massachusetts, Amherst, MA (United States)
  6. Rice Univ., Houston, TX (United States)

For semidilute polyelectrolyte solutions, it is generally assumed that topological, electrostatic, and hydrodynamic interactions are screened (called triple screening). Despite a large body of research focused on polyelectrolyte solutions, the concept of triple screening has never been rigorously verified. In this work, we test the concept by probing concentration fluctuations in aqueous solutions containing a well-studied polyelectrolyte, sodium poly(styrenesulfonate) (NaPSS) with neutron scattering, theory, and molecular dynamics simulations. Neutron spin–echo (NSE) and small-angle neutron scattering (SANS) data from semidilute solutions of NaPSS are presented at different polymer and salt (NaCl) concentrations. A combined theory for structure (J. Chem. Phys. 105, 5183 (1996)) and dynamics (J. Chem. Phys. 107, 2619 (1997)), which captures effects of hydrodynamic, topological, and electrostatic screening, is used to interpret the experimental results. Here, the theory quantitatively predicts the decay rate obtained from the NSE measurements while capturing the shape and concentration dependencies of the polyelectrolyte peak observed in the SANS spectra. Detailed comparisons of the theory and the experiments reveal that the wavevector-dependent decay rate of concentration fluctuations in semidilute solutions of polyelectrolytes is dictated by the screening of hydrodynamic, topological, and electrostatic interactions. This conclusion is corroborated by coarse-grained molecular dynamics simulations, executed without any hydrodynamic interactions, which fail to capture the correct wavevector dependence of the decay rate. These results highlight that the theories based on the concept of triple screening provide a quantitative framework for predicting a relation between the structure and dynamics of polyelectrolyte solutions.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); National Science Foundation (NSF); US Air Force Office of Scientific Research (AFOSR)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
2333846
Journal Information:
Macromolecules, Journal Name: Macromolecules Journal Issue: 6 Vol. 57; ISSN 0024-9297
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (55)

Theory of Polyelectrolyte Solutions book January 1996
Physical Chemistry of Polyelectrolyte Solutions: Advances in Chemical Physics journal September 2015
The counterion distribution in solutions of rod-shaped polyelectrolytes journal November 1951
Revisiting some phenomena in polyelectrolyte solutions journal April 2002
Water purification by membranes: The role of polymer science journal June 2010
Collective dynamics of semidilute polyelectrolyte solutions with salt journal May 2019
Polyelectrolyte Theory book January 2004
Neutron Spin Echo in Polymer Systems, Chapter 1 book January 2005
Structure and linear viscoelasticity of flexible polymer solutions: comparison of polyelectrolyte and neutral polymer solutions journal December 2009
Kinetic equations and time correlation functions of critical fluctuations journal November 1970
Liquid dynamics and inelastic scattering of neutrons journal January 1959
Screening concepts in polymer solution dynamics journal March 1982
Theory of polyelectrolytes in solutions and at surfaces journal November 2005
Physics of Charged Macromolecules book February 2023
Overlap Concentration in Salt-Free Polyelectrolyte Solutions journal October 2021
Determining the Molecular Weight of Polyelectrolytes Using the Rouse Scaling Theory for Salt-Free Semidilute Unentangled Solutions journal August 2022
Confined Dynamics of Grafted Polymer Chains in Solutions of Linear Polymer journal September 2017
50th Anniversary Perspective : A Perspective on Polyelectrolyte Solutions journal December 2017
Perspectives for Polymer Electrolytes: A View from Fundamentals of Ionic Conductivity journal April 2020
Overlap Concentration of Sodium Polystyrene Sulfonate in Solution journal January 2022
Electrostatic Repulsion Slows Relaxations of Polyelectrolytes in Semidilute Solutions journal June 2022
Interchain Hydrodynamic Interaction and Internal Friction of Polyelectrolytes journal August 2023
Effect of Salt on the Ordinary–Extraordinary Transition in Solutions of Charged Macromolecules journal March 2019
Dynamics of Polymers in Concentrated Solutions in the Random Phase Approximation: Stiffness Effect journal February 1995
Scaling Theory of Polyelectrolyte Solutions journal November 1995
Dynamics of polyelectrolyte solutions by neutron spin echo: molecular weight dependence journal May 1989
Rouse Dynamics of Polyelectrolyte Solutions:  Molecular Dynamics Study journal October 2007
Polyelectrolytes in Salt Solutions: Molecular Dynamics Simulations journal July 2011
Dynamics of Concentrated Weakly Charged Polyelectrolyte Solutions journal January 1996
Rheology of Sulfonated Polystyrene Solutions journal August 1998
Domain Structures in Low Ionic Strength Polyelectrolyte Solutions journal October 1998
Remarks on polyelectrolyte conformation journal January 1976
Correlations and dynamics of polyelectrolyte solutions journal January 1980
On the effect of small ions in the dynamics of polyelectrolyte solutions journal January 1985
Brownian dynamics simulations of salt-free polyelectrolyte solutions journal March 2002
Counterion associative behavior with flexible polyelectrolytes journal September 2004
On the dynamics of polyelectrolyte solutions journal March 1984
Addendum to the paper ‘‘On the dynamics of polyelectrolyte solutions’’ journal August 1986
Cooperative diffusion in weakly charged polyelectrolyte solutions journal September 1991
The nature of flexible linear polyelectrolytes in salt free solution: A molecular dynamics study journal July 1995
Double screening in polyelectrolyte solutions: Limiting laws and crossover formulas journal September 1996
Dynamics of polyelectrolyte solutions journal August 1997
Enhanced scattering induced by electrostatic correlations in concentrated solutions of salt-free dipolar and ionic polymers journal October 2018
Understanding the effects of dipolar interactions on the thermodynamics of diblock copolymer melts journal August 2019
Ordinary–extraordinary transition in dynamics of solutions of charged macromolecules journal October 2016
Viscosity of polymer solutions journal August 1981
Mean-field theory of concentrated polyelectrolyte solutions: Statics and dynamics journal June 1991
Explicit characterization of counterion dynamics around a flexible polyelectrolyte journal April 2022
Decoupled-Mode Dynamical Scaling Theory of the Binary-Liquid Phase Transition journal May 1970
Capacitance of thin films containing polymerized ionic liquids journal June 2020
Electrostatic correlations in polyelectrolyte solutions journal November 2016
Coarse-grained explicit-solvent molecular dynamics simulations of semidilute unentangled polyelectrolyte solutions journal October 2023
Polymer Electrolytes journal July 2013
Über heteropolare Molekülkolloide. I. journal November 1937
DAVE: A Comprehensive Software Suite for the Reduction, Visualization, and Analysis of Low Energy Neutron Spectroscopic Data
  • Azuah, Richard Tumanjong; Kneller, Larry R.; Qiu, Yiming
  • Journal of Research of the National Institute of Standards and Technology, Vol. 114, Issue 6 https://doi.org/10.6028/jres.114.025
journal November 2009

Similar Records

Configurational diffusion in semidilute solutions
Conference · Mon Dec 31 23:00:00 EST 1984 · OSTI ID:5297824

Configurational diffusion in semidilute solutions
Conference · Wed Jan 29 23:00:00 EST 1986 · AIP Conf. Proc.; (United States) · OSTI ID:5954054

Shear-Induced Conformations of Salt-Free Polyelectrolytes in Semidilute Solutions
Journal Article · Tue Jun 17 00:00:00 EDT 2025 · ACS Macro Letters · OSTI ID:2573160