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Polydisperse Distributions of Composite Particles and the SAXS Behaviour of Low-Rank Coals

We investigate whether low-rank coals can be seen as a polydisperse distribution of particles having an internal structure. More definitely, we have analysed the case where particles are cubic stackings of parallelepipedic layers of uniform electronic density. Each layer is 1.50 Å thick and the interlayer spacing is 3.35 Å. The particle distributions are determined by best-fitting the experimental intensities. One finds that the model reproduces the fractal behaviour of the latter, provided the momentum transfer range is less than two decades wide.