Abstract
Multifractal analysis is one of the tools for studying complex objects with self-similar structure, such as dispersed polymetallic systems. This paper deals with the application of multifractal analysis to describe and evaluate the characteristics of dispersed polymetallic systems (Fe-Al-Co, Fe-Al-Cr, Fe-Al-Mo) obtained by galvanic substitution. The study reveals important aspects, such as the distribution of fractal dimensions, which allows a deeper understanding of the mechanisms of formation and development of structures in polymetallic systems. The presented results can be useful for the development of new materials and technologies, as well as for the improvement of existing methods of analysis and quality control of polymetallic systems. It is shown that the spectrum of generalized fractal dimensions of Fe-Al-Co is similar to the spectrum of the Serpinsky dodecahedron - an S-shaped downward curve. The calculated generalized fractal dimension is 1.662, which indicates a lower complexity of the Fe-Al-Co sample structure compared to the model Serpinsky dodecahedron. The micrograph of a particle of the synthesized Fe-Al-Cr disperse sample shows an agglomerated structure of micron dimensions, which, in turn, is formed from interconnected spherical-like formations of 50-200 nm in size. The spectrum of generalized fractal dimensionality of Fe-Al-Cr also presents an S-shaped rising curve. The generalized fractal dimension in this case is 1.881, which is higher than that of the Fe-Al-Co dispersed system sample. The obtained results have shown that the multifractal spectrum and the distribution of fractal dimensions can serve as tools for analyzing the mechanisms of formation and evolution of the structure of polymetallic systems. This opens up new opportunities for the development of innovative materials with specified properties, improvement of existing technologies and quality control of materials.
Published Version
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