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Title: Conformational effect on small angle neutron scattering behavior of interacting polyelectrolyte solutions: a perspective of integral equation theory

Journal Article · · The Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4732516· OSTI ID:1047026

We present small angle neutron scattering (SANS) measurements of deuterium oxide (D2O) solutions of linear and star sodium poly(styrene sulfonate) (NaPSS) as a function of polyelectrolyte concentration. Emphasis is on understanding the dependence of their SANS coherent scattering cross section I(Q) on the molecular architecture of single polyelectrolyte. The key finding is that for a given concentration, star polyelectrolytes exhibit more pronounced characteristic peaks in I(Q), and the position of the first peak occurs at a smaller Q compared to their linear counterparts. Based on a model of integral equation theory, we first compare the SANS experimental I(Q) of salt free polyelectrolyte solutions with that predicted theoretically. Having seen their satisfactory qualitative agreement, the dependence of counterion association behavior on polyelectrolyte geometry and concentration is further explored. Our predictions reveal that the ionic environment of polyelectrolyte exhibits a strong dependence on polyelectrolyte geometry at lower polyelectrolyte concentration. However, when both linear and star polyelectrolytes exceed their overlap concentrations, the spatial distribution of counterion is found to be essentially insensitive to polyelectrolyte geometry due to the steric effect.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC05-00OR22725
OSTI ID:
1047026
Journal Information:
The Journal of Chemical Physics, Vol. 137, Issue 2; ISSN 0021-9606
Country of Publication:
United States
Language:
English

References (40)

Observation of cluster formation in polyelectrolyte solutions by small-angle neutron scattering. 1. A steep upturn of the scattering curves from solutions of sodium poly(styrenesulfonate) at scattering vectors below 0.01 .ANG.-1 journal July 1991
Characteristic lengths and the structure of salt free polyelectrolyte solutions. A small angle neutron scattering study journal December 1985
Small-Angle Neutron Scattering and Dynamic Light Scattering from a Polyelectrolyte Solution:  DNA journal March 1998
Solution properties of charged quasi-random copolymers: Integral equation theory journal October 2003
Reference interaction site model polaron theory of the hydrated electron journal September 1991
Domain Structures in Low Ionic Strength Polyelectrolyte Solutions journal October 1998
Effect of salt on sodium polystyrene sulfonate measured by light scattering journal August 1985
Structure of Short DNA Fragment Solutions journal August 1998
Phase diagram of polyelectrolyte solutions journal January 1988
Concentration Regimes in Solutions of Polyelectrolyte Stars journal January 2008
Theory of polyelectrolytes in solutions and at surfaces journal November 2005
Detailed Molecular Dynamics Simulations of a Model NaPSS in Water journal July 2010
Scattering Functions of Flexible Polyelectrolytes in the Presence of Mixed Valence Counterions:  Condensation and Scaling journal August 2005
High concentration crossovers of polyelectrolyte solutions journal May 2001
Integral equation theory for the structure of DNA solutions journal January 2002
SAXS from Four-Arm Polyelectrolyte Stars in Semi-Dilute Solutions journal January 2003
Integral equation theory of solutions of rigid polyelectrolytes journal April 1997
Computer simulations and integral equation theory for the structure of salt-free rigid rod polyelectrolyte solutions: Explicit incorporation of counterions journal June 1999
Cascade of Transitions of Polyelectrolytes in Poor Solvents journal January 1996
Experimental techniques in high-vacuum anionic polymerization journal January 2005
Conformation of Poly(styrenesulfonate) Polyions in the Presence of Multivalent Ions:  Small-Angle Neutron Scattering Experiments journal May 2001
Persistence Length for a PSSNa Polyion in Semidilute Solution as a Function of the Ionic Strength journal December 1996
Influence of counterion valency on the scattering properties of highly charged polyelectrolyte solutions journal February 2001
Reduction and analysis of SANS and USANS data using IGOR Pro journal November 2006
Influence of Backbone Solvation on Small Angle Neutron Scattering from Polyelectrolyte Solutions journal November 1997
Polymer reference interaction site model theory: New molecular closures for phase separating fluids and alloys journal June 1993
Macroion Clustering in Solutions and Suspensions: The Roles of Microions and Solvent journal March 2009
Integral equation theory for polyelectrolyte solutions containing counterions and coions journal January 2000
Homogeneous and heterogeneous sulfonation of polymers: A review journal May 1998
Structure of Polyelectrolyte Solutions journal October 1996
‘‘Ordered’’ structure in dilute solutions of sodium polystyrenesulfonates as studied by small‐angle x‐ray scattering journal October 1984
The extended Q -range small-angle neutron scattering diffractometer at the SNS journal July 2010
Small-angle X-ray scattering from salt-free solutions of star-branched polyelectrolytes journal January 2001
Self-consistent integral equation theory for semiflexible chain polyelectrolyte solutions journal November 2000
Monte Carlo simulations and self-consistent integral equation theory for polyelectrolyte solutions journal March 1999
Soft matter with soft particles journal January 2006
Added Salt Effect on the Intermolecular Correlation in Flexible Polyelectrolyte Solutions:  Small-Angle Scattering Study journal May 2002
Static scattering from polyelectrolyte solutions journal January 1989
Charge Density Dependence of Correlation Length Due to Electrostatic Repulsion in Polyelectrolyte Solutions journal March 1995
Electric Field Light Scattering by Rod-Like Polyelectrolytes in Aqueous Suspensions journal May 1995