Reexamination of Slow Dynamics in Semidilute Solutions: From
Correlated Concentration Fluctuation to Collective Diffusion
Guangcui Yuan,
†
Xiaohong Wang,
†
Charles C. Han,*
,†
and Chi Wu*
,‡
State Key Laboratory of Polymer Physics & Chemistry, Joint Laboratory of Polymer Science &
Materials, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100080, People’s Republic of
China, and Department of Chemistry, The Chinese UniVersity of Hong Kong, Shatin, N.T., Hong Kong
ReceiVed January 10, 2006; ReVised Manuscript ReceiVed March 26, 2006
ABSTRACT: Two different polymer systems, poly(N-isopropylacrylamide) (PNIPAM)/H
2
O and poly(ethylene
oxide)-poly(propylene oxide)-poly(ethylene oxide) (PEO-PPO-PEO)/H
2
O, were examined by laser light
scattering(LLS). In both cases, a single relaxation mode was observed in dilute solution which is related to the
mutual diffusion of separated polymer chains. As the polymer concentration increases and enters the semidilute
regime, one fast and one slow relaxation modes were observed. The fast mode corresponds to cooperative diffusion
of chain segments inside each “blob”. Utilizing the thermal-sensitive properties of these two systems, we followed
the disentanglement of transient network in the semidilute solutions through temperature-induced chain shrinkage,
but without changing the overall concentrations. Meanwhile, we can follow the slow mode of the semidilute
solution changes from long-range correlated concentration fluctuation of transient network to collective diffusion
of aggregates or micelles. The present results clearly reveal that the slow modes in these two different systems
have the same nature.
Introduction
Semidilute solutions of polymers have been the focus of
attention for more than two decades. Because of the existence
of overlapping and entanglement of polymer chains, new
dynamical processes involving interchain interactions and
disentanglement come into the problem. Many theoretical and
experimental works have been invested to clarify the properties
of these systems. Among these, dynamics and relaxation
processes investigated by dynamic LLS are of particular interest.
A number of dynamic LLS experiments on semidilute solutions
have detected the deviation of the intensity-intensity time
correlation function from a single-exponential decay, which is
simultaneously with a fast and so-called slow mode.
1-20
It is a
widely held view that the fast mode is related to the cooperative
diffusion of chain segments in each “blob”,
21
while the slow
mode has been assigned to a variety of origins, and the
interpretation is far from a comprehensive resolution. For
example, a general consensus in the angular, concentration, and
chain length dependence and a clear understanding regarding
the origins of the slow mode are still lacking.
For homopolymer in semidilute solutions, the origins of the
slow mode have been mainly postulated to be related to reptation
of a clustering of polymer chains through the entangled coils,
1-4
or to the center-of-mass motion of the entire polymer chain in
its surroundings,
5-7
or to the viscoelastic properties of the
network.
14-17
As for block copolymer in a selective solvent,
the chain dynamics in semidilute solutions is more complicated
and system dependent, i.e., a good solvent for one block and a
poor or nonsolvent for another block; segregation effects are
responsible for a wide range of structures depending on the
number of blocks, their degree of polymerization, their incom-
patibility, and the solvent quality.
22,23
A common feature of these
systems is that multiple dynamic modes could be observed by
dynamic LLS. The slow mode is tentatively attributed to
cooperative rearrangements of microdomains,
24
or to cooperative
diffusion of nodes,
25
or to viscoelastic relaxation of textures
embedded in the solution,
26
or to “long-range density fluctua-
tions” or “cluster” relaxation.
27,28
The above interpretations about
the origins of the slow mode are all speculative. In general, the
slow modes observed in block copolymer systems are thought
to be different in nature with that observed in homopolymer
systems.
20
Actually, for polymers with high molecular weight, the
overlap concentration (C*) is low, and the semidilute regime
extends to a low concentration (in terms of g L
-1
),
29
where the
segment density is so low that the extent of interpenetration or
overlapping between polymer chains is rather limited. The
precursor stage of a uniform transient network formation
apparently extends over an unexpectedly broad concentration
range where most of the reported experiments were carried out.
30
This precursor stage inevitably exists in all polymer/solvent
systems, not depending on polymer chain structures. One
possible explanation about the deviation of the intensity-
intensity time correlation function measured in dynamic LLS
from a single-exponential decay is that, in the experimental
concentration range, the correlation of segments at different
“blob” is not sufficiently “screened” by chain overlapping.
21
In
other words, the slow mode originates from the concentration
fluctuation of segments belonging to different “blobs” in the
solution which fluctuations take place dependently. The extent
of correlation is directly related to the incorporation of various
interactions, such as polymer-polymer, polymer-solvent, and
solvent-solvent interaction, which can be attractive or repulsive.
In the present study, the system of PNIPAM/H
2
O was selected
because of its thermal-responsive properties which exhibits a
lower critical solution temperature (LCST) around 32 °C,
32
and
the system of PEO-PPO-PEO/H
2
O was selected because of
the well-known fact that it can exhibit temperature-induced
micellization phenomenon at a certain concentration range.
33
Although the homopolymer and the triblock copolymer have
* To whom correspondence should be addressed: Ph +86 010 82618089;
Fax +86 010 62521519; e-mail c.c.han@iccas.ac.cn; e-mail chiwu@
cuhk.edu.hk.
†
The Institute of Chemistry, CAS.
‡
The Chinese University of Hong Kong.
3642 Macromolecules 2006, 39, 3642-3647
10.1021/ma060060a CCC: $33.50 © 2006 American Chemical Society
Published on Web 04/15/2006