Peculiarities of structural transformations in zirconia nanocrystals

Section: Fig 5 Dependence Of a Change In The Molarmentioning

confidence: 96%

“…since the existence of non-equilibrium structure of nanoparticles due to kinetic reasons is possible [47][48][49].…”

Section: Fig 5 Dependence Of a Change In The Molarmentioning

confidence: 99%

Formation and structural transformations of nanoparticles in the TiO2–H2O system

Almjasheva¹

2016

“…As SCS oxide nanoparticles are prone to aggregation, their structure and dimensions should be studied by a complex of methods [215]. The studies in [157,158,161,162,169,197,198,212,216] showed the necessity to use such methods as the x-ray diffraction, line broadening analysis, small-angle x-ray and neutron scattering, transmission electron microscopy, low-temperature gas adsorption curve analysis, etc.…”

Section: Oxide Materials Production By Scsmentioning

confidence: 99%

Oxide material synthesis by combustion of organic-inorganic compositions

Ostroushko¹,

Русских²

2017

This review analyzes and summarizes the research results for oxide material synthesis by combustion of organic-inorganic mixtures. We have outlined the range of physical and chemical factors influencing the precursor processes and the oxide material synthesis itself, as well as have shown the ways and options to control these processes and nanoscale materials' properties. We have highlighted several issues concerning the analysis methods for the resulting materials and processes. We have exemplified the practical implementation of the methods under discussion.

“…This causes the invariant metric-statistical self-similarity of multi-scale composite structures with a non-Euclidean (fractional) relationship between the rate of increase in the number of considered elements and the increase in the scale of their consideration [4,5]. This is de facto valid for all technologies and methods for the synthesis of nanomaterials and is determined by the special role of the energy and entropy characteristics of the surface and interfacial layers, the correlation scale of the matter and energy transfer phenomena in different macro, micro and nanostructural blocks of the material, as well as the boundary tolerance factor of their partitioning [6][7][8][9][10]. This is clearly seen in materials with a high content of nanostructured non-autonomous phases of a substance.…”

Section: Introductionmentioning

confidence: 99%

Fractal characterization of nanostructured materials

Коваленко¹

2019

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.