Tuesday, November 6, 2007 - 1:10 PM
225c

Contin Analysis of Sals Data from Clusters of Particles beyond Rdg Limit

Marco Lattuada, Lyonel Ehrl, Miroslav Soos, and Massimo Morbidelli. Institute for Chemical and Bioengineering, Department of Chemistry and Applied Biosciences, ETH Zurich, Wolfgang-Pauli-Str. 10, HCI F 133, Zurich, 8093, Switzerland

Static light scattering (SALS) is a widely used technique to gather information about properties of colloidal dispersions, because it can provide useful information about size distribution of particles and clusters together with information about structural arrangement of particles within clusters. However, the analysis of light scattering data is straightforward only in the case of spherical particles thanks to Lorenz-Mie theory. When particles and clusters are not spherical, as it is the case when colloidal suspensions undergo aggregation, resulting in the formation of fractal clusters, the application of Lorenz-Mie theory can provide misleading information. In this work, we present a strategy which overcomes these limitations and allows one to extract reliable information about the cluster mass distribution from the analysis of scattering data. The proposed methodology relies on three main steps. First of all, it is necessary to gather structural information about clusters like those commonly encountered in coagulation processes. We have accomplished this by using a tunable fractal dimension algorithm, which allows generating clusters with a prescribed fractal dimension, up to values close to three. Consequently, the structure of these clusters has been analyzed in terms of particle-particle correlation functions. The second step of this procedure is the calculation of the scattering properties of clusters. Since shear aggregation processes usually lead to the formation of highly compact (i.e. high fractal dimension) aggregates, often obtained using large primary particles, conventional RDG theory cannot be applied. We have therefore used a mean-field version of the T-Matrix theory, which allows one to efficiently compute scattering properties of clusters with both high fractal dimension and large primary particle size given their particle-particle correlation function. The third step of this procedure is to use these individual cluster scattering properties in combination with CONTIN algorithm to perform parsimonious fitting of light scattering data to extract cluster mass distributions. This procedure is applied to SALS data from shear-induced aggregation of polystyrene particles with various sizes.