Cm. Sorensen et al., SCALING DESCRIPTION OF THE STRUCTURE FACTOR OF FRACTAL SOOT COMPOSITES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(4), 1998, pp. 4666-4672
This paper studies the static structure factor of a system of fractal
aggregates at various degrees of densification. The system we use for
this study is carbonaceous soot, which is composed of diffusion limite
d cluster aggregates with a fractal dimension of 1.8. The range of den
sity is great, from the aerosol to a system of lightly touching cluste
rs and then to ground and compressed samples. The data involve a combi
nation of light scattering and small-angle x-ray scattering over a q r
ange of 3 x 10(-3 less than or equal to)q less than or equal to 6 nm(-
1). We are able to explain all the features of the data with scaling a
rguments based on comparisons of the scattering length scale q(-1), wh
ere q is the magnitude of the scattering wave vector, and the various
length scales of the system that are density dependent. [S1063-651X(98
)00410-3].