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Harmonic Analysis of Topographic AFM Images of Nanoscale Globular Structures

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Abstract

An algorithm is considered for the statistical analysis of images of nanoparticles obtained by scanning probe microscopy, based on the harmonic analysis of surface profiles with a complex relief. Using harmonic analysis, the average sizes of particles are determined and the sizes of their aggregates are estimated. The algorithm enables the analysis of large samples of particles; in this work, it is tested using model natural objects with an ordered and disordered arrangement of nanoscale particles. The dependence of the analysis results on the type of particle size distribution is also considered, and the features of determining the average size for Gaussian and logarithmically normal distributions are revealed. Among the possible applications of the algorithm, we can mention analysis of the average size of particles and the value of their aggregation in microdispersed and nanodispersed structures (thin amorphous films, colloidal systems, noncrystalline substances, polymers) based on three-dimensional or pseudo-three-dimensional microscopic images.

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Funding

This study was carried out with financial support of the Russian Foundation for Basic Research and the National Natural Science Foundation of China (project no. 20-55-53019).

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Authors and Affiliations

  1. Pitirim Sorokin Syktyvkar State University, 167001, Syktyvkar, Russia

    I. V. Antonets

  2. Institute of Geology, Komi Science Center, Ural Branch, Russian Academy of Sciences, 167982, Syktyvkar, Russia

    Ye. A. Golubev

  3. Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 125009, Moscow, Russia

    V. I. Shcheglov

Authors
  1. I. V. Antonets
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  2. Ye. A. Golubev
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  3. V. I. Shcheglov
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Corresponding authors

Correspondence to I. V. Antonets or Ye. A. Golubev.

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Translated by O. Zhukova

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Antonets, I.V., Golubev, Y.A. & Shcheglov, V.I. Harmonic Analysis of Topographic AFM Images of Nanoscale Globular Structures. J. Surf. Investig. 15, 615–622 (2021). https://doi.org/10.1134/S1027451021030216

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  • DOI: https://doi.org/10.1134/S1027451021030216

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