Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials
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Some statistical distributions, which describe the nanotopography of technical surfaces

V.V. Izmailov, M.V. Novoselova

Tver State Technical University

DOI: 10.26456/pcascnn/2020.12.609

Original article

Abstract: The nanotopography of engineering surfaces of machine parts made of high alloy heat-treated steel and electric silver after finishing mechanical treatment was studied.  The probability density functions of the nanotopography parameters – the heights of peaks and the radii of curvature of their vertices – were experimentally determined. These parameters are necessary for theoretical description of processes of the contact interaction of engineering surfaces (exemplifying on surfaces of silver and steel). It is established that the distributions of the above mentioned nanoroughness parameters are essentially asymmetrical and are far from normal ones. It has been proved that for the studied surfaces the probability densities of the above mentioned nanoroughness parameters are adequately described by the beta-distribution. The validity of this conclusion is confirmed by the fitting criteria such as χ2 (K. Pearson’s criterion) and Romanovsky’s criterion.

Keywords: surface, nanotopography, parameters, probability density, beta-distribution, fitting criteria

  • Vladimir V. Izmailov – Dr. Sc., Professor, Department of Applied Physics, Tver State Technical University
  • Marina V. Novoselova – Ph. D., Docent, Department of Applied Physics, Tver State Technical University

Reference:

Izmailov, V.V. Some statistical distributions, which describe the nanotopography of technical surfaces / V.V. Izmailov, M.V. Novoselova // Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials. – Tver: TSU, 2020. — I. 12. — P. 609-616. DOI: 10.26456/pcascnn/2020.12.609. (In Russian).

Full article (in Russian): download PDF file

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