Not just fractal surfaces, but surface fractal aggregates: Derivation of the expression for the structure factor and its applications

• DOI: 10.1063/1.4960953
• Publication Date: 2016-08-17T17:03:30Z
• Authors: R. Besselink; T. M. Stawski; A. E. S. Van Drie...; L. G. Benning
• Keywords: 01 natural sciences; 0104 chemical sciences

Densely packed surface fractal aggregates form in systems with high local volume fractions of particles very short diffusion lengths, which effectively means that have little space to move. However, there are no prior mathematical models, would describe scattering from such and allow the subdivision between inter- intraparticle interferences aggregates. Here, we show by including a factor function primary building aggregate, finite size interfacial sub-surfaces can be derived structure term. This formalism allows us define both specific area for fraction particle at perimeter an aggregate. The model is validated comparing it ab initio approach involves generation "brick-in-a-wall" von Koch type contour fractals. Moreover, this explains observed intensities situ experiments followed gypsum (CaSO4 ⋅ 2H2O) precipitation highly supersaturated solutions. Our densely may well key precursor step formation several types mosaic- meso-crystals.