Colloids and Surfaces A: Physicochem. Eng. Aspects 343 (2009) 96–103
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Colloids and Surfaces A: Physicochemical and
Engineering Aspects
journal homepage: www.elsevier.com/locate/colsurfa
Structure of poly (sodium 4-styrenesulfonate) (PSS) in electrolyte solutions:
Theoretical modeling and measurements
Z. Adamczyk
∗
, B. Jachimska, T. Jasi ´ nski, P. Warszy ´ nski, M. Wasilewska
Institute of Catalysis and Surface Chemistry Polish Academy of Sciences, Niezapominajek 8, 30-239 Cracow, Poland
article info
Article history:
Received 30 September 2008
Received in revised form 5 January 2009
Accepted 30 January 2009
Available online 5 April 2009
Keywords:
Polyelectrolyte
Viscosity
Electrophoretic mobility
Conformation of polyelectrolyte
abstract
In this work, the structure of poly (sodium 4-styrenesulfonate) (PSS) molecules in electrolyte solutions
obtained from theoretical simulations was compared with experimental data derived from dynamic light
scattering (PCS), electrophoretic and dynamic viscosity measurements. Simulations and experiments
were carried out for polymer having molecular weight of 15.8 kD and for various ionic strength of the sup-
porting electrolyte (NaCl). It was predicted from molecular dynamic simulations that for the entire range
of electrolyte concentration studied (I = 10
-3
to 0.15 M) the molecule behaved as a flexible rod. Its effective
length L
ef
varied from 12.5 to 8.5nm, which corresponds to 0.79–0.56 of the contour length L
ext
= 16 nm
predicted for fully extended polymer chain. Thus, for electrolyte concentration of 0.15M, a significant
folding of the molecule was predicted, whose shape resembled a semi circle (torus). These predictions
were compared with PCS measurements of the diffusion coefficient of the molecule, which allowed one
to calculate its hydrodynamic radius R
H
. It was found that R
H
varied between 3.1 for I =5 × 10
-3
M and
4 nm for I = 0.15 M. These R
H
values were in a good agreement with theoretical predictions stemming from
Brenner’s theory, approximating the true particle shape by prolate spheroids, bent to various forms. Using
these R
H
values and electrophoretic mobility data derived from microelectrophoresis, the average number
of uncompensated (free) charges on the PSS molecule and the effective ionization degree were calculated.
The number of free charges was determined to be 14–16 (decreasing slightly with ionic strength), which
gives the ionization degree of 18–20%, which was comparable with theoretical predictions. Additional
shape information was derived from the dynamic viscosity measurements of dilute PSS solutions using a
capillary viscometer. The intrinsic viscosity derived from these measurements varied between 28.3 and
8 for the ionic strength 10
-3
to 0.15M. It was shown, after introducing the correction for hydration, that
the experimental results were accounted well by the Brenner’s viscosity theory for slender particle sus-
pensions. The effective lengths derived from viscosity measurements using this theory was comparable
with values predicted from the molecular dynamic simulations.
© 2009 Elsevier B.V. All rights reserved.
1. Introduction
Polyelectrolytes or polyions are molecules composed of a large
number of covalently linked ionizable subunits. They are abundant
in nature and essential for biological systems, just to mention DNA.
Polyelectrolytes are often used in pharmaceutical, cosmetic and
food industries, in ternary oil recovery, papermaking, for regulating
rheological properties of suspensions.
Another important field of polyelectrolyte applications is
preparing multilayer films on solid substrates of a desired com-
position and functionality [1–4], which is often realized by
layer-by-layer (LbL) deposition of anionic and cationic polyelec-
trolytes. Such films can be used as convenient supports for proteins
∗
Corresponding author.
E-mail address: ncjachim@cyf-kr.edu.pl (Z. Adamczyk).
and nanoparticles, which can be easily embedded into the poly-
meric layer. A controlled formation of such polymeric films requires
a throughout knowledge of the structure of macromolecules, their
shape and charge in relation to its molecular weight, ionic strength
and pH of solutions.
One of the efficient ways of learning about structural aspects of
polyelectolytes is the rheological measurements, which have been
performed extensively over the decades [5–8]. However, because
of the variety of parameters influencing polyelectrolyte viscosity,
these results are often misinterpreted using for example, the scaling
theories of de Genes et al. [9], applicable for high molecular weight
polyelectrolytes in solutions with no added salt only.
A better description of viscosity of polyelectrolytes in real solu-
tions can be attained using the electrostatic wormlike chain theory
developed by Odijk [10] and Skolnick and Fixman [11], known as the
Odjik–Skolnick–Fixman (OSF) theory. This approach was based on
the persistence length L
p
concept, whose electrostatic contribution
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doi:10.1016/j.colsurfa.2009.01.035