Characterization of Turbid Colloidal Suspensions Using
Light Scattering Techniques Combined
with Cross-Correlation Methods
Claus Urban and Peter Schurtenberger
1
Polymer Institute, ETH Zurich, CH-8092 Zurich, Switzerland
Received March 31, 1998; accepted July 21, 1998
The ability to characterize colloidal suspensions by means of
dynamic light scattering is in general limited to systems with
negligible contributions from multiple scattering. For larger par-
ticle sizes with high scattering contrast this immediately limits the
technique to very low concentrations. A promising solution of this
problem is to suppress multiple scattering in dynamic light scat-
tering experiments using cross-correlation schemes. Based on
these considerations we have constructed a so-called 3D cross-
correlation experiment with which we are able to characterize
extremely turbid suspensions. We have measured monomodal and
bimodal suspensions of latex particles of relatively high volume
fraction. The results show clearly that we are able to measure the
dynamic structure factor in concentrated polydisperse suspensions
with dynamic light scattering. Combining static and dynamic light
scattering measurements forcharacterizing turbid suspensions the
single scattering particle form factorand also the static structure
factor can be evaluated. We demonstrate that the implementation
of a 3D cross-correlation scheme is a powerful method in sup-
pressing multiple scattering contributions in light scattering ex-
periments and opens a wide field of characterization of colloidal
dispersions with high turbidity without having to resort to high
dilution. © 1998 Academic Press
Key Words: dynamic light scattering; multiple scattering; cross-
correlation; turbid suspensions; concentrated colloid suspensions.
INTRODUCTION
Dynamic light scattering (DLS) is one of the most popular
experimental techniques in the characterization of colloidal
suspensions. DLS provides a measure of the time scale for
fluctuations in the index of refraction of a complex fluid, and it
probes these fluctuations on the length scale of the inverse of
the scattering vector, q
-1
. In the case of colloidal particles
intensity fluctuations are predominantly caused by the diffusive
motion of the particles. Based on the correlation between
diffusion coefficient and particle size, DLS is now widely used
as a very convenient and nondestructive method for particle
sizing. The technique is suitable for the characterization of
colloidal particles over a wide range of sizes from a few
nanometers to several micrometers. Moreover, DLS is also
frequently used for investigations of the dynamic behaviour of
concentrated and/or strongly interacting colloidal suspensions
and glasses, and it allows us to follow processes such as
aggregation and gelation. However, its application to many
systems of industrial relevance has often be considered to be
too complicated due to the very strong multiple scattering in
undiluted solutions. The interpretation of a DLS experiment
becomes exceedingly difficult for systems with nonnegligible
contributions from multiple scattering. Particularly for larger
particles with high scattering contrast this limits the technique
to very low concentrations, and a large variety of systems are
therefore excluded from investigations with dynamic light scat-
tering. One quite recent approach to this problem, which has
already been implemented in commercial products, works in
the limit of very strong multiple scattering, where a diffusion
model can be used in order to describe the propagation of the
light across the sample (1). Unfortunately, this so-called “dif-
fusing wave spectroscopy” does generally not allow us to
determine important features such as polydispersity of the
particles due to the inherent averaging over a large range of
spatial length scales. A very interesting opposite approach aims
at sufficiently suppressing contributions from multiple scatter-
ing from the measured photon correlation data. There exist a
number of different theoretical and experimental approaches to
this problem (2– 4). The general idea is to isolate singly scat-
tered light and suppress undesired contributions from multiple
scattering in a dynamic light scattering experiment (for details
see (2)). This can be achieved by performing two scattering
experiments simultaneously on the same scattering volume
(with two laser beams, initial wave vectors k
il
and k
i2
, and two
detectors positioned at final wave vectors k
f1
and k
f2
) and
cross-correlating the signals seen by the two detectors. If both
experiments then have the same scattering vector q, but use
different scattering geometries, and in the absence of multiple
scattering, the corresponding relations between the dynamic
structure factor S( q, ) and the measured auto-correlation
( G
11
(1)
( )) and cross-correlation ( G
12
(1)
( )) function, where (1)
indicates singly scattered photons, can then be written as
1
Corresponding author. E-mail: pschurt@ifp.mat.ethz.ch.
JOURNAL OF COLLOID AND INTERFACE SCIENCE 207, 150 –158 (1998)
ARTICLE NO. CS985769
150
0021-9797/98 $25.00
Copyright © 1998 by Academic Press
All rights of reproduction in any form reserved.