Fractal Eden growth model

Small Angle X-ray Scattering was used to determine the fractal property of silica aggregates prepared by base-catalyzed hydrolysis and condensation of alkoxides in alcohol. As-produced samples were found to be mass fractals. The fractal dimensions spanned the regime 2.1 2.6 corresponding to more branched and compact structures. Both RLCA and Eden models dominated the kinetic growth under base-catalyzed condition... 

For w 4, unhydrolyzed sites are incorporated into the growing cluster. The probability of condensation at these sites is less than at hydrolyzed sites. Under these conditions, growth is described by a poisoned Eden model. Depending on the number and distribution of the poisoned sites, mass fractals, surface fractals or uniformly porous objects can result. The addition of more water in a second hydrolysis step is expected to completely hydrolyze the clusters and further growth should be described by the Eden model. 

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