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Title: Enhanced scattering induced by electrostatic correlations in concentrated solutions of salt-free dipolar and ionic polymers

Abstract

Here, we present a generalized theory for studying the static monomer density-density correlation function (structure factor) in concentrated solutions and melts of dipolar as well as ionic polymers. The theory captures effects of electrostatic fluctuations on the structure factor and provides insights into the origin of experimentally observed enhanced scattering at ultralow wavevectors in salt-free ionic polymers. It is shown that the enhanced scattering can originate from a coupling between the fluctuations of electric polarization and monomer density. Local and non-local effects of the polarization resulting from finite sized permanent dipoles and ion-pairs in dipolar and charge regulating ionic polymers, respectively, are considered. Theoretical calculations reveal that, similar to the salt-free ionic polymers, the structure factor for dipolar polymers can also exhibit a peak at a finite wavevector and enhanced scattering at ultralow wavevectors. Although consideration of dipolar interactions leads to attractive interactions between monomers, the enhanced scattering at ultralow wavevectors is predicted solely on the basis of the electrostatics of weakly inhomogeneous dipolar and ionic polymers without considering the effects of any aggregates or phase separation. Thus, we conclude that neither aggregation nor phase separation is necessary for observing the enhanced scattering at ultralow wavevectors in salt-free dipolar andmore » ionic polymers. For charge regulating ionic polymers, it is shown that electrostatic interactions between charged monomers get screened with a screening length, which depends not only on the concentration of “free” counterions and coions, but also on the concentration of “adsorbed” ions on the polymer chains. Qualitative comparisons with the experimental scattering curves for ionic and dipolar polymer melts are presented using the theory developed in this work.« less

Authors:
ORCiD logo [1]; ORCiD logo [1];  [2]; ORCiD logo [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1479790
Alternate Identifier(s):
OSTI ID: 1479600
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 149; Journal Issue: 16; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Kumar, Rajeev, Lokitz, Bradley S., Long, Timothy E., and Sumpter, Bobby G. Enhanced scattering induced by electrostatic correlations in concentrated solutions of salt-free dipolar and ionic polymers. United States: N. p., 2018. Web. doi:10.1063/1.5044637.
Kumar, Rajeev, Lokitz, Bradley S., Long, Timothy E., & Sumpter, Bobby G. Enhanced scattering induced by electrostatic correlations in concentrated solutions of salt-free dipolar and ionic polymers. United States. https://doi.org/10.1063/1.5044637
Kumar, Rajeev, Lokitz, Bradley S., Long, Timothy E., and Sumpter, Bobby G. Sun . "Enhanced scattering induced by electrostatic correlations in concentrated solutions of salt-free dipolar and ionic polymers". United States. https://doi.org/10.1063/1.5044637. https://www.osti.gov/servlets/purl/1479790.
@article{osti_1479790,
title = {Enhanced scattering induced by electrostatic correlations in concentrated solutions of salt-free dipolar and ionic polymers},
author = {Kumar, Rajeev and Lokitz, Bradley S. and Long, Timothy E. and Sumpter, Bobby G.},
abstractNote = {Here, we present a generalized theory for studying the static monomer density-density correlation function (structure factor) in concentrated solutions and melts of dipolar as well as ionic polymers. The theory captures effects of electrostatic fluctuations on the structure factor and provides insights into the origin of experimentally observed enhanced scattering at ultralow wavevectors in salt-free ionic polymers. It is shown that the enhanced scattering can originate from a coupling between the fluctuations of electric polarization and monomer density. Local and non-local effects of the polarization resulting from finite sized permanent dipoles and ion-pairs in dipolar and charge regulating ionic polymers, respectively, are considered. Theoretical calculations reveal that, similar to the salt-free ionic polymers, the structure factor for dipolar polymers can also exhibit a peak at a finite wavevector and enhanced scattering at ultralow wavevectors. Although consideration of dipolar interactions leads to attractive interactions between monomers, the enhanced scattering at ultralow wavevectors is predicted solely on the basis of the electrostatics of weakly inhomogeneous dipolar and ionic polymers without considering the effects of any aggregates or phase separation. Thus, we conclude that neither aggregation nor phase separation is necessary for observing the enhanced scattering at ultralow wavevectors in salt-free dipolar and ionic polymers. For charge regulating ionic polymers, it is shown that electrostatic interactions between charged monomers get screened with a screening length, which depends not only on the concentration of “free” counterions and coions, but also on the concentration of “adsorbed” ions on the polymer chains. Qualitative comparisons with the experimental scattering curves for ionic and dipolar polymer melts are presented using the theory developed in this work.},
doi = {10.1063/1.5044637},
journal = {Journal of Chemical Physics},
number = 16,
volume = 149,
place = {United States},
year = {Sun Oct 28 00:00:00 EDT 2018},
month = {Sun Oct 28 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 6 works
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Figures / Tables:

FIG. 1 FIG. 1: Effects of non-local effects of the electric polarization (characterized by $x$ = β0b 2/6ζ$^{2}_{d}$) on location of the local minimum in the scattering intensity for dipolar polymer melts. Plots presented here are obtained from Eq. 9. The right hand side of Eq. 9 becomes a complex number formore » higher values of $x$ when $y$ < 8.5. In contrast, the right hand side of Eq. 9 becomes negative for higher values of $x$ when $y$ > 8.5.« less

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Works referenced in this record:

Direct Comparison of Atomistic Molecular Dynamics Simulations and X-ray Scattering of Polymerized Ionic Liquids
journal, March 2016


Influence of Zwitterions on Thermomechanical Properties and Morphology of Acrylic Copolymers: Implications for Electroactive Applications
journal, October 2011

  • Wu, Tianyu; Beyer, Frederick L.; Brown, Rebecca H.
  • Macromolecules, Vol. 44, Issue 20
  • DOI: 10.1021/ma201211j

SANS from Poly(ethylene oxide)/Water Systems
journal, October 2002

  • Hammouda, B.; Ho, D.; Kline, S.
  • Macromolecules, Vol. 35, Issue 22
  • DOI: 10.1021/ma011657n

‘‘Ordered’’ structure in dilute solutions of biopolymers as studied by small‐angle x‐ray scattering
journal, July 1985

  • Matsuoka, Hideki; Ise, Norio; Okubo, Tsuneo
  • The Journal of Chemical Physics, Vol. 83, Issue 1
  • DOI: 10.1063/1.449781

Theory of polyelectrolytes in solutions and at surfaces
journal, November 2005


Ordinary–extraordinary transition in dynamics of solutions of charged macromolecules
journal, October 2016

  • Muthukumar, Murugappan
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 45
  • DOI: 10.1073/pnas.1612249113

Molecular-weight Determination by Light Scattering.
journal, January 1947

  • Debye, P.
  • The Journal of Physical and Colloid Chemistry, Vol. 51, Issue 1
  • DOI: 10.1021/j150451a002

Double screening in polyelectrolyte solutions: Limiting laws and crossover formulas
journal, September 1996

  • Muthukumar, M.
  • The Journal of Chemical Physics, Vol. 105, Issue 12
  • DOI: 10.1063/1.472362

A statistical theory of weakly charged polyelectrolytes: fluctuations, equation of state and microphase separation
journal, November 1988

  • Borue, V. Yu.; Erukhimovich, I. Ya.
  • Macromolecules, Vol. 21, Issue 11
  • DOI: 10.1021/ma00189a019

Multiple Rayleigh-Gans-Debye scattering in colloidal systems-general theory and static light scattering
journal, June 1983


Enhanced Phase Segregation Induced by Dipolar Interactions in Polymer Blends
journal, September 2014

  • Kumar, Rajeev; Sumpter, Bobby G.; Muthukumar, M.
  • Macromolecules, Vol. 47, Issue 18
  • DOI: 10.1021/ma501067r

Vertical Phase Segregation Induced by Dipolar Interactions in Planar Polymer Brushes
journal, September 2016


Light Scattering Investigation of Charge Fluctuations in Isoionic Serum Albumin Solutions 1
journal, February 1957

  • Timasheff, Serge N.; Dintzis, Howard M.; Kirkwood, John G.
  • Journal of the American Chemical Society, Vol. 79, Issue 4
  • DOI: 10.1021/ja01561a003

Attraction between Opposing Planar Dipolar Polymer Brushes
journal, August 2017


"Ordered" distribution of electrically charged solutes in dilute solutions
journal, September 1980

  • Ise, Norio; Okubo, Tsuneo
  • Accounts of Chemical Research, Vol. 13, Issue 9
  • DOI: 10.1021/ar50153a002

Scattering by inhomogeneous nonspherical objects
journal, January 1979


A Chain Model for Polyelectrolytes. I
journal, September 1954

  • Harris, Frank E.; Rice, Stuart A.
  • The Journal of Physical Chemistry, Vol. 58, Issue 9
  • DOI: 10.1021/j150519a010

Theory of X-ray scattering by liquid macromolecules with heavy atom labels
journal, January 1970


Molecular Theory of Light Scattering
journal, November 1955

  • Fixman, Marshall
  • The Journal of Chemical Physics, Vol. 23, Issue 11
  • DOI: 10.1063/1.1740668

Electrostatic correlations in polyelectrolyte solutions
journal, November 2016


XXXIV. On the transmission of light through an atmosphere containing small particles in suspension, and on the origin of the blue of the sky
journal, April 1899

  • Rayleigh, Lord
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 47, Issue 287
  • DOI: 10.1080/14786449908621276

50th Anniversary Perspective : A Perspective on Polyelectrolyte Solutions
journal, December 2017


Domain Structures in Low Ionic Strength Polyelectrolyte Solutions
journal, October 1998

  • Ermi, Brett D.; Amis, Eric J.
  • Macromolecules, Vol. 31, Issue 21
  • DOI: 10.1021/ma980579+

Nanoscale Aggregation in Acid- and Ion-Containing Polymers
journal, June 2017


Microstructure of ionomers: interpretation of small-angle x-ray scattering data
journal, December 1983

  • Yarusso, David J.; Cooper, Stuart L.
  • Macromolecules, Vol. 16, Issue 12
  • DOI: 10.1021/ma00246a013

Anomalous small-angle x-ray scattering from a sulfonated polystyrene ionomer
journal, November 1988

  • Ding, Y. Samuel; Hubbard, Stevan R.; Hodgson, Keith O.
  • Macromolecules, Vol. 21, Issue 6
  • DOI: 10.1021/ma00184a028

Random polyelectrolytes and polyampholytes in solution
journal, November 1998

  • Borukhov, I.; Andelman, D.; Orland, H.
  • The European Physical Journal B, Vol. 5, Issue 4-6
  • DOI: 10.1007/s100510050513

Counterion correlations and attractions in dense polyelectrolyte solutions
journal, February 2006


Communication: Counter-ion solvation and anomalous low-angle scattering in salt-free polyelectrolyte solutions
journal, December 2017

  • Chremos, Alexandros; Douglas, Jack F.
  • The Journal of Chemical Physics, Vol. 147, Issue 24
  • DOI: 10.1063/1.5010784

Monomer volume fraction profiles in pH responsive planar polyelectrolyte brushes
journal, March 2016

  • Mahalik, J. P.; Yang, Yubo; Deodhar, Chaitra
  • Journal of Polymer Science Part B: Polymer Physics, Vol. 54, Issue 10
  • DOI: 10.1002/polb.24008

Forces between Protein Molecules in Solution Arising from Fluctuations in Proton Charge and Configuration
journal, October 1952

  • Kirkwood, J. G.; Shumaker, J. B.
  • Proceedings of the National Academy of Sciences, Vol. 38, Issue 10
  • DOI: 10.1073/pnas.38.10.863

Neutron Scattering from Polymers: Five Decades of Developing Possibilities
journal, June 2016


On the LambertW function
journal, December 1996

  • Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.
  • Advances in Computational Mathematics, Vol. 5, Issue 1
  • DOI: 10.1007/BF02124750

The Scattering of Light and the Radial Distribution Function of High Polymer Solutions
journal, December 1948

  • Zimm, Bruno H.
  • The Journal of Chemical Physics, Vol. 16, Issue 12
  • DOI: 10.1063/1.1746738

Influence of Backbone Solvation on Small Angle Neutron Scattering from Polyelectrolyte Solutions
journal, November 1997

  • Ermi, Brett D.; Amis, Eric J.
  • Macromolecules, Vol. 30, Issue 22
  • DOI: 10.1021/ma970494t

The Statistical Mechanical Basis of the Debye–Hüekel Theory of Strong Electrolytes
journal, August 1954

  • Kirkwood, John G.; Poirier, Jacques C.
  • The Journal of Physical Chemistry, Vol. 58, Issue 8
  • DOI: 10.1021/j150518a004

Charge regulation and local dielectric function in planar polyelectrolyte brushes
journal, June 2012

  • Kumar, Rajeev; Sumpter, Bobby G.; Kilbey, S. Michael
  • The Journal of Chemical Physics, Vol. 136, Issue 23
  • DOI: 10.1063/1.4729158

Dynamics of moderately concentrated salt‐free polyelectrolyte solutions: Molecular weight dependence
journal, January 1992

  • Sedlák, Marián; Amis, Eric J.
  • The Journal of Chemical Physics, Vol. 96, Issue 1
  • DOI: 10.1063/1.462467

Remarks on polyelectrolyte conformation
journal, January 1976


Investigation of the interfacial tension of complex coacervates using field-theoretic simulations
journal, January 2012

  • Riggleman, Robert A.; Kumar, Rajeev; Fredrickson, Glenn H.
  • The Journal of Chemical Physics, Vol. 136, Issue 2
  • DOI: 10.1063/1.3674305

Weakly charged polyelectrolytes in a poor solvent
journal, January 1990


Apparent Molar Mass of a Polyelectrolyte in an Organic Solvent in the Low Ionic Strength Limit As Revealed by Light Scattering
journal, October 2013

  • Saha, S.; Fischer, K.; Muthukumar, M.
  • Macromolecules, Vol. 46, Issue 20
  • DOI: 10.1021/ma4006268

Dressed‐ion theory for electrolyte solutions: A Debye–Hückel‐like reformulation of the exact theory for the primitive model
journal, July 1994

  • Kjellander, Roland; Mitchell, D. John
  • The Journal of Chemical Physics, Vol. 101, Issue 1
  • DOI: 10.1063/1.468116

Statistical Mechanics of Liquid Solutions.
journal, December 1936


Molecular Theory of the Scattering of Light in Fluids
journal, April 1945

  • Zimm, Bruno H.
  • The Journal of Chemical Physics, Vol. 13, Issue 4
  • DOI: 10.1063/1.1724013

Theory of polyzwitterion conformations
journal, January 2009

  • Kumar, Rajeev; Fredrickson, Glenn H.
  • The Journal of Chemical Physics, Vol. 131, Issue 10
  • DOI: 10.1063/1.3216107

The Influence of Dipole Moment Fluctuations on the Dielectric Increment of Proteins in Solution
journal, October 1952

  • Kirkwood, J. G.; Shumaker, J. B.
  • Proceedings of the National Academy of Sciences, Vol. 38, Issue 10
  • DOI: 10.1073/pnas.38.10.855

Electrostatic Correlations in Polyelectrolyte Solutions
journal, January 2016

  • Muthukumar, M.
  • Высокомолекулярные соединения А, Vol. 58, Issue 6
  • DOI: 10.7868/s2308112016060146

Theory of polyzwitterion conformations
text, January 2009


Charge regulation and local dielectric function in planar polyelectrolyte brushes
text, January 2012


Enhanced phase segregation induced by dipolar interactions in polymer blends
text, January 2014


Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.