Experimental study reveals a fractal dimension of 2.12 in colloidal silica aggregates, suggesting structural characteristics closer to equilibrium lattice animals than kinetic models.
Measurement of the fractal dimension, D, of colloidal aggregates of small silica particles is reported. We observe power-law decay of the structure factor [S(k)~k^-D] by both light and x-ray scattering showing that the aggregates are fractal. D is found to be 2.12±{}0.05, which is intermediate between recent numerical results for the kinetic models of diffusion-limited aggregation ($D=2.5$) and cluster aggregation ($D=1.75$), but is rather close to the value for lattice animals ($D=2.0$), which are equilibrium structures.
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Schaefer et al. (1984) studied this question.
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