Unified Analysis of Thermodynamic and Rheological
Properties of High Polymer Solutions. II. Ternary Systems
ISABEL M. IRURZUN, TOMA
´
S S. GRIGERA, M. SUSANA CORTIZO, RUBE
´
N V. FIGINI,*
MARIANNE MARX-FIGINI
Instituto de Investigaciones Fisicoqumı ´cas Teo ´ ricas y Aplicadas (INIFTA), CONICET, CIC y Universidad
Nacional de La Plata, C.C. 16, suc. 4, La Plata 1900, Argentina
Received 29 January 2001; revised 24 January 2002; accepted 1 March 2002
Published online 00 Month 2002 in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/polb.10165
ABSTRACT: We extend to ternary solutions our previous study of conformational, ther-
modynamic, and rheological properties of semidilute polymer solutions in good solvent.
Osmotic pressure and viscosity measurements were performed in several mixtures of
two compatible polymers in a common solvent. Renormalization group results were
used to analyze the data, using de Gennes’s blobs model to connect dynamic and
conformational properties. © 2002 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 40:
1071–1079, 2002
Keywords: heterogeneous polymers; viscosity; thermodynamics
INTRODUCTION
The universal behavior of polymer solutions has
been experimentally recognized for a long time.
Major manifestations of universality are the
power-law relationships (the limiting forms of the
most general scaling functions) that hold for a
wide range of chemically different systems.
1–3
Universality shows up in that the macroscopic
properties of dilute and semidilute polymer solu-
tions are invariant under a redefinition of the
monomer unit. Renormalization group (RG) the-
ory exploits this invariance of scale to obtain mac-
roscopic relations from the microscopic model of
the system, deriving universal laws.
To date, RG theory has been successfully ap-
plied to the description of binary polymer solu-
tions.
4 –18
A reasonable understanding of dilute
solutions exists, and progress has also been made
in the description of thermodynamic and confor-
mational properties of semidilute solutions. The
description of dynamic properties is more difficult
because of the hydrodynamic interaction, and al-
though there are theoretical approaches to its
description, a unified treatment of excluded vol-
ume and hydrodynamic screening is still unavail-
able.
In a previous article,
19
we carried out an exten-
sive study of binary systems (i.e., solvent plus one
polymeric species). We measured both the thermo-
dynamic and dynamic properties (osmotic pressure
and viscosity) of dilute and semidilute solutions and
applied a scheme based on RG theory. Our scheme
uses the RG results for osmotic pressure and radius
of gyration and extends them to consider also the
dynamic properties. Theoretical results agreed with
the experimental data. The comparison was made
by adjusting a nonuniversal quantity () that de-
pends on the chemical nature of the systems and
temperature. Once is experimentally calculated,
the behavior of the polymer solution in the whole
range from dilute to semidilute limits can be deter-
mined. Our previous results indicated that has
different values for static (thermodynamic and con-
formational) and dynamic properties. Nevertheless,
the scheme supports an extensive analysis, and it is
Correspondence to: T. S. Grigera (E-mail: tomas.grigera@
roma1.infn.it)
*Deceased
Journal of Polymer Science: Part B: Polymer Physics, Vol. 40, 1071–1079 (2002)
© 2002 Wiley Periodicals, Inc.
1071