Presentation of electrical conductivity of graphene-containing shungite on the basis of current tubes model. Abstract

Zhurnal Radioelektroniki - Journal of Radio Electronics. ISSN 1684-1719. 2020. No. 3
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DOI 10.30898/1684-1719.2020.3.7

UDC 537.874; 537.624

PRESENTATION OF ELECTRICAL CONDUCTIVITY OF GRAPHENE-CONTAINING SHUNGITE ON THE BASIS OF CURRENT TUBES MODEL

I .V. Antonets ¹, E. A. Golubev ², V. G. Shavrov ³, V. I. Shcheglov ³

¹Syktyvkar State University, Oktyabrskiy prosp. 55, Syktyvkar 167001, Russia

² Geology Institute Komy SC UrD RAS, Pervomaiskaya 54, Syktyvkar 167982, Russia

³Kotelnikov Institute of Radioengineering and Electronics of Russian Academy of Sciences, Mokhovaya 11-7, Moscow 125009, Russia

The paper is received on February 18, 2020

Abstract. The presentation of electrical conductivity of graphene-containing shungite on the basis of current tubes model is executed. It is established that the real shungite specimens represent the combination from the region of well conducting carbon which are divided by regions of bad conducting quarts. It is established that the carbon regions consist of nano-dimensions blocks which have the structure organized from graphene slides which are grouped to multi-layer packets. For the analysis of conductivity of these blocks it is proposed the model of tubes which consist of graphene packets which are regulated along three mutual perpendicular directions. It is supposed that electrical current through the block is able to propagate only along three mutual perpendicular directions which are coincide with the tube directions. As an initial incoming geometrical parameters of the task it is proposed the dimensions of graphene slide, the dimensions of packet and intervals between graphene slides inside of packet and also the dimensions of intervals between the packets inside the tubes and the dimensions of intervals between the tubes inside of block. As an incoming electrical parameters of the task it is proposed the specific resistance of graphene slide along and across of its flatness and specific resistance of intervals between the packets and between the tubes which are supposed as isotropic. It is investigated the longitudinal and transverse resistance of single graphene slide and also the same for packet which consist of several graphene slides which are separated by some intervals. It is shown that the resistance of packet along the graphene slide is determined by parallel connection of resistances both graphene slides and intervals between its and the resistance of packet across the graphene slides is determined by the successive connection of slides and intervals. On the basis of investigation of geometrical and electrical parameters of tube it is shown that the resistance of tube is formed by successive connection of resistances of packets and intervals between its. On the basis of investigation of geometrical and electrical parameters of block it is shown that its resistance is formed by the parallel connection of resistances of tubes and intervals between its. It is proposed the algorithms of determination of absolute and specific resistances of block along three coordinate axis. This algorithms are consisted of succession of steps of calculation intermediate parameters on the basis of determined initial parameters of task in whole. It is executed the calculation of absolute and specific resistances of block which is the most approximated to known from experiment parameters of shungite. It is shown that by determined from experiment distinction of resistance along and across the graphene slide to four orders the distinction of resistance of block as a whole along those directions is not more than unit order. As s reason of decreasing of anisotropy of block as a whole in comparison with the anisotropy of graphene slide, the role of isotropic character of resistance of intervals between the tubes inside of block is established. The dependencies of absolute and specific resistance of block from its geometrical dimensions are investigated. It is shown that the absolute value of resistance of block along the so and other axis is straight proportional to its dimension along the same axis. It is shown that the specific resistance of block along each from axis by the little dimensions of block is determined by specific resistance of graphene slide and packet and by the large dimensions of block its specific resistance is not changed and accept to the constant value. It is shown that for the obtaining of objective significance of specific resistance the dimension of block must to exceed the dimension of graphene packet not less than one order. Some insufficiency of experimental data at the nanoscale level is noted, forcing instead of exact parameter values to use only their most probable values. It is shown that, in spite of the probabilistic character of the initial incoming parameters, the calculated resistivity of the block as a whole is consistent with the resistivity of schungite known from the experiment within about 20%.

Key words: carbon, shungite, electro-conductivity.

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For citation:

Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Presentation of electrical conductivity of graphene-containing shungite on the basis of current tubes model. Zhurnal Radioelektroniki – Journal of Radio Electronics. 2020. No. 3. Available at http://jre.cplire.ru/jre/mar20/7/text.pdf. DOI 10.30898/1684-1719.2020.3.7