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Study of Fractal Characteristics of Individual Macromolecular Tangles

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Abstract

The fractal characteristics of individual macromolecular tangles of block and random copolymers are investigated. It was found that the dependence of the mass of macromolecules on the radius of inertia of a statistically significant sample is well described by the de Gennes equation with a fractal dimension of 5/3. It was established that the fine structure of the polymer coil also has a fractal nature. The fractal dimension inside the macromolecular coil changes significantly with distance from the center of mass.

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ACKNOWLEDGMENTS

The studies were performed using the equipment of Shared Use Center at the A.N. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences.

Funding

This work was supported by the Russian Foundation for Basic Research (project code no. 17-03-00197A). This work was supported by the Ministry of Education and Science (AAAA-A19-119011790097-9).

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Authors and Affiliations

  1. A.N. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, 119071, Moscow, Russia

    V. K. Gerasimov, A. E. Chalykh & A. S. Vishnevskii

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  1. V. K. Gerasimov
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  2. A. E. Chalykh
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  3. A. S. Vishnevskii
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Correspondence to V. K. Gerasimov or A. E. Chalykh.

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Gerasimov, V.K., Chalykh, A.E. & Vishnevskii, A.S. Study of Fractal Characteristics of Individual Macromolecular Tangles. Prot Met Phys Chem Surf 56, 510–513 (2020). https://doi.org/10.1134/S2070205120030156

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  • DOI: https://doi.org/10.1134/S2070205120030156

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