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ЖУРНАЛЫ // Наносистемы: физика, химия, математика // Архив

Наносистемы: физика, химия, математика, 2019, том 10, выпуск 1, страницы 42–49 (Mi nano414)

Эта публикация цитируется в 4 статьях

PHYSICS

Fractal characterization of nanostructured materials

A. N. Kovalenko

Ioffe Institute, 26 Politekhnicheskaya, St. Petersburg 194021, Russia

Аннотация: The article presents a developed gradient-pixel method of fractal analysis and results of multifractal characterization of nano- structured materials with a high proportion of non-autonomous phases obtained from micrographs of their surface chips with high-resolution scanning microscopes. Compared with the black and white binarization option, the gray gradation improves the quality of multifractal analysis of nanostructured materials and expands its capabilities, in particular, the selection of multi-scale composite inclusions in the structure of the material and nano-objects on transparent or opaque basis. Establishing the characteristics of these dependencies permits linking the indicators of structural and phase nonuniformity in the development of new materials with changes in their physicochemical properties. In comparison with the fractal dimension of the Sierpinski carpet as a classic regular monofractal computed on the outlined basis, quite accurately coinciding with the known analytical value, the resulting spectrum of fractal dimensions of the synthesized chemical-catalytic and thermoelectric nanomaterials indicates the multifractal nature of their structural and phase nonuniformity according to the Rényi generalized equation.

Ключевые слова: nanostructured materials, SEM micrographs of chips, fractal analysis, gradient-pixel method, spectrum of multifractal dimensions.

PACS: 81.05 U, 05.45.Df, 61.48.De, 81.20.Ka

Поступила в редакцию: 02.01.2019
Исправленный вариант: 31.01.2019

Язык публикации: английский

DOI: 10.17586/2220-8054-2019-10-1-42-49



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