Computer-aided method of analysis of nanocomposite structure on the basis of calculations of isolines of fractal dimensionality

A computer-aided method of analysis of nanocomposite textures on the basis of calculation of the fractal dimensions of nanostructures using microphotographs of the nanocomposites is proposed. The computer-aided method of assessment of the fractal dimensions is notable for the use of an algorithm of calculation of the self-similarity indices of the power spectra of two-dimensional luminance fields of the nanostructure imaging on microphotographs and the use of the box-counting algorithm for measurement of the fractal dimensions. This method makes it possible to assess the rates and directions of cluster growth in the nanocomposite texture. On the basis of numerous computer experiments using the method proposed, we have ascertained that dark zones of two types are present on microphotographs of the texture of the nanocomposites obtained by sedimentation of tin oxides and formation of fine-particle silicon carbide: homogeneous zones, where there is no manifestation of the fine structure of the nanocomposites, and indistinctly contoured structured zones that hypothetically can correspond to the formation of new clusters or ensembles of nanoparticles.