Abstract
Box-counting approach based on the analysis of particle number distribution between separate fragments of electron micrographs is applied to composites based on cyanoethyl ester of polyvinyl alcohol containing barium titanate (BaTiO3) filler nanoparticles modified by the deposition of small layer graphene nanoplatelets. This modification is shown to significantly affect the microstructural characteristics of the composites, including the filler distribution uniformity, lacunarity and fractal dimension. The obtained data are compared with the increase in permittivity of the composites resulting from the filler modification with graphene.
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REFERENCES
Mjakin, S.V., Sychov, M.M., Chekuryaev, A.G., and Sudar, N., Adjustment of dielectric performances for polymer-inorganic composites by ferroelectric filler modification with graphene micro-additive, Mater. Today: Proc., 2020, vol. 30, no. 3, pp. 603–605.
Sychov, M.M., Minakova, T.S., Slizhov, O.A., and Shilova, O.A., Kislotno-osnovnyye kharakteristiki poverkhnosti tverdykh tel i upravleniye svoystvami materialov i kompozitov (Acid-Basic Characteristics of Surface of Solids and Control of Properties of Materials and Composites), St. Petersburg: Khimizdat, 2016.
Alekseev, S.A., Korsakov, V.G., Sychov, M.M., Likhacheva, O.V., Rodionov, A.G., and Ezhenkova, L.L., Effect of donor-acceptor sites at a barium titanate surface on the properties of composites based on cyanoethyl polyvinyl alcohol, Russ. J. Phys. Chem. A, 2006, vol. 80, no. 4, pp. 601–604.
Krasovskii, A.N., Novikov, D.V., Vasina, E.S., Matveichikova, P.V., Sychev, M.M., and Rozhkova, N.N., Short-range order and fractal cluster structure of aggregates of barium titanate microparticles in a composite based on cyano-ethyl ester of polyvinyl alcohol, Phys. Solid State, 2015, vol. 57, no. 12, pp. 2555–2561.
Novikov, D.V., Self-organization of phase clusters in homogeneously disordered polymer composite materials, Phys. Solid State, 2018, vol. 60, no. 9, pp. 1879–1883.
Iudin, D.I. and Koposov, E.V., Fraktaly - ot prostogo k slozhnomu (Fractals—from Simple to Complex), Nizhny Novgorod: NNGASU, 2012.
Chumak, O.V., Entropii i fraktaly v analize dannykh (Entropies and Fractals in the Data Analysis), Moscow: RKhD Inst. Komp’yut. Issled., 2011.
Plotnick, R.E., Gardner, R.H., and O’Neill, R.V., Lacunarity indices as measures of landscape texture, Landscape Ecol., 1993, vol. 8, pp. 201–211.
Makarenko, K.V. and Ilushkin, D.A., Fractal analysis of graphitized irons, Bull. Bryansk. Tekh. Univ., 2016, no. 1, pp. 34–43.
Funding
The polymer composites were prepared with the support of the Russian Foundation for Basic Research, grant no. 20-07-00740 А. The box counting technique was developed with the support of the Russian Science Foundation, project no. 21-73-30019.
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Chekuryaev, A.G., Sychov, M.M., Mjakin, S.V. et al. Analysis of Microstructure and Fractal Characteristics of Polymer Based Dielectric Composites with Graphene-Modified Barium Titanate Filler by Box-Counting Method. Glass Phys Chem 48, 659–663 (2022). https://doi.org/10.1134/S1087659622600892
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DOI: https://doi.org/10.1134/S1087659622600892