Zhurnal Radioelektroniki - Journal of Radio Electronics. ISSN 1689-1719. 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

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

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

Kotelnikov 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.

References

1. Lutsev L.V., Nikolaichuk G.A., Petrov V.V., Yakovlev S.V. Multipurpose radio-absorbing materials on the basis of magnetic nanostructure: obtaining, properties, application.  Nano-tehnika – Nano-engineering. 2008. No.10. P.37-43. (In Russian)

2. Kazantseva N.E., Ryvkina N.G., Chmutin I.A. Promising materials for microwave absorbers. Journal of Communications Technology and Electronics. 2003. Vol.48. No.2. P.173-184.

3. Ostrovsky O.S., Odarenko E.N., Shmatko A.A. Protective screens and absorbers of electromagnetic waves. Fizicheskaya injeneriya poverhnosti - Physical engineering of surface. 2003. Vol.1. No.2. P.161-172. (In Russian)

4. Antonov A.S., Panina L.V., Sarichev A.K.  High-frequency magnetic permeability of composite materials containing the carbon-iron. Technical Physics. The Russian Journal of Applied Physics. 1989. Vol.59. No.6. P.88-94. (In Russian)

5. Vinogradov A.P. Elektrodinamika kompozitnykh materialov [Electrodynamics of composite materials]. Moscow, URSS Publ. 2001. (In Russian)

6. Vendik I.B., Vendik O.G. Meta-materials ant its application in microwave engineering. Technical Physics. The Russian Journal of Applied Physics. 2013. Vol.58. No.1. P.1-24. DOI:  https://doi.org/10.1134/S1063784213010234.

7. Smith D.R., Padilla W.J., Vier D.C., Nemat-Nasser S.C., Schultz S. Composite medium with simultaneously negative permeability and permittivity. // Phys. Rev. Lett. 2000. V.84. ¹18. P.4184-4187. 

8. Pendry J.B. Negative refraction makes a perfect lens. Phys. Rev. Lett. 2000. Vol.85. No.18. P.3966-3969. 

9. Moshnikov I.A., Kovalevsky V.V., Lazareva T.N., Petrov A.V. Ispolzovanie shungitovih porod v sozdanii padioekraniruyushchih kompozitsionnih materialov. [The shungite rocks employment in creation of radio-screening composite materials]. Proceedings of the conference “Geodynamics, magmatizm, sedimentogenes and minerageniya of north-west of Russia”. Petrozavodsk: Geilogical institute of KarSC RAS. 2007. P.272-274. (In Russian). 

10. Linkov L.M., Makhmud M.Sh., Kryshtopova E.A. The electromagnetic radiation screens on basis of powder-like shungite. Bulletin of Polotsk State university. Series C. Main sciences. Novopolotsk. Polotsk State University. 2012. No. 4. P.103-108. (In Russian)

11. Linkov L.M., Borbotko T.V., Kryshtopova E.A. The radio-absorption properties of nickel-containing powdery shungite. Technical Physics Letters. 2009. Vol.35. No.9. P.44-48. (In Russian)

12. Linkov L.M., Borbotko T.V., Kryshtopova E.A. Microwave and optic properties of multi-functional screens of electromagnetic radiation on the basis of powder-like shungite. Book of papers of 4-th international conference “Modern methods and technologies of creation and processing of materials”. Belarus. Minsk. 2009. P.23-25.

13. Borisov P.A. Karelskie shungity. [Karelian shungites]. Petrozavodsk, Karelia Publ. 1956. (In Russian)

14. Philippov M.M. Shungitenosnyyee poroyi onezhskyi struktury [Shungite-containing rocks of Onega structure]. Petrozavodsk. Karelian SC RAS. 2002. (In Russian)

15. Sokolov V.A., Kalinin Yu.K., Gukkiev E.F.  Shungiyi – novoe uglerodistoye sirye [Shungites – new carbon raw material]. Petrozavodsk, Karelia Publ. 1984. 176 p. (In Russian)

16. . Philippov M.M., Medvedev P.P., Romashkin A.E. About nature of South Karelia shungites.  Litologia i poleznie iskopaemie – Lithology and useful minerals. 1998. ¹3. P.323-332. (In Russian).

17. Melezhik V.A., Filippov M.M., Romashkin A.E. A giant paleoproterozoic deposit of shungite in NW Russia.  Ore Geology Reviews. 2004. Vol.24. P.135-154.

18. Rodionov V.V. Mehanizmi vzaimodeystviya SVCh izluchenia s nanostrukturirovannimi uglerodsodershashchimi materialami. [The mechanisms of interaction of VHF-radiation with nanostructused carbon-contained materials]. Kursk.  Master-thesis Publ. 2014. (In Russian)

19. Emelyanov S.G., Kuzmenko A.P., Rodionov V.V., Dobromyslov M.B. Mechanisms of microwave absorption in carbon compounds from shungite. Journal of Nano- and Electronic Physics. 2013. Vol.5. No.4. P.04023-1 04023-3.

20. Kuzmenko A.P., Rodionov V.V., Kharseev V.A. Hyperfullerene carbon nane structures as a powder fill for absorption of microwave radiation. Nanotekhnologiya -  Nano-technology. 2013. No.4. P.35-36. (In Russian)   

21. Kuzmenko A.P., Rodionov V.V., Emelyanov S.G., Chervyakov L.M., Dobromyslov M.B. Microwave properties of carbon nanotubes grown by pyrolysis of ethanol on nickel catalyst. Journal of Nano- and Electronic Physics. 2014. Vol.6. No.3. P.03037-1 03037-2.

22. Boiprav O.V., Ayad H.A.E., Lynkov L.M. Radioshielding properties of nickel-containing activated carbon. Technical Physics Letters. 2019. Vol.45. No.12. P.635-637.

23.  Savenkov G.G., Morozov V.A., Ukraintseva T.V., Kats V.M., Zegrya G.G., Ilyushin M.A. The effect of shungite additives on electric discharge in ammonium perchlorate. Technical Physics Letters. 2019. Vol.45. No.19. P.1001-1003.

24. Golubev Ye.A., Antonets I.V., Shcheglov V.I. Model'nyye predstavleniya mikrostruktury, elektroprovodyashchikh i SVCH-svoystv shungitov [Model presentation of microstructure, electroconductivity and microwave properties of shungite]. Syktyvkar. Sykyivkar State University. 2017. (In Russian)

25. Golubev Ye.A., Antonets I.V., Shcheglov V.I. Static and dynamic conductivity of nanostructured carbonaceous shungite geomaterials. Materials Chemistry and Physics. 2019. Vol. 226. No.3. P.195-203. 

26. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Dynamic microwave conductivity of graphene-based shungite. Technical Physics Letters. 2018. Vol.44. No.5. P.371-373. 

27. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. The investigation of conductivity of graphene-containing shungite by waveguide method. Book of papers of International symposium “Perspective materials and technologies”. Vitsebsk. Belarus. 2017. P.6-9. (In Russian)

28. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Dynamic conductivity of graphene-containing shungite in microwave region.  Book of papers of conference “Phase transitions, critical and nonlinear phenomena in condensed media”. Institute of Physics of Dagestan Scientific Centre RAS. Makhachala. 2017. P.432-436. (In Russian)

29. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Dynamic conductivity of graphene-containing shungite in microwave region.  Book of papers of XXV International conference «Electromagnetic field and materials». Moscow, NIU MEI. 2017. P.135-147. (In Russian)

30. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Influence of substratum on the reflection and propagation properties of two layer conducting structure. Book of papers of XXV International conference «Electromagnetic field and materials». Moscow, NIU MEI. 2017. P.166-182. (In Russian)

31. Kovalevsky V.V. Struktura uglerodnogo veshchestva i genezis shungitovykh porod. [Structure of carbon substance and extraction of shungite rocks]. Doctor-thesis. Petrozavodsk. 2007. (In Russian)

32. Sheka E.F., Golubev E.A. Technical graphene (reduced graphene oxide) and its natural analog (shungite). Technical Physics. The Russian Journal of Applied Physics. 2016. Vol.61. No.7. P.1032-1038.

33. Golubev E.A., Ulyashev V.V., Veligshanin A.A. Porosity and structure parameters of Karelian shungite by data of small-angle dispersion of synchrotron radiation and microscopy.  Kristallografia – Crystallography. 2016. Vol.61. No.1. P.74-85. (In Russian).

34. Morosov S.V., Novoselov K.S., Geim A.K. Electron transport in graphene.  Phys. Usp. 2008. Vol.51. No.7. P.744-748.

35. Hill E.W., Geim A.K., Novoselov K., Schedin F., Blake P. Graphene spin valve devices. IEEE Trans. Magn. 2006. Vol.42. No.10. P.2694-2696.

36. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Influence of shungite structure parameters on its electro-conductivity properties.  Zhurnal Radio electroniki – Journal of Radio Electronics. 2017. ¹5. Available at: http://jre.cplire.ru/jre/may17/11/text.pdf (In Russian)

37. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. The model presentation of microstructure, conductivity and microwave properties of graphene-containing shungite.  Zhurnal Radio electroniki – Journal of Radio Electronics. 2017. No.9. Available at: http://jre.cplire.ru/jre/sep17/8/text.pdf (In Russian)

38. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. The model presentation of shungite microstructure in connection of its electro-conducting properties.  Book of papers of XXV International conference «Electromagnetic field and materials». Moscow, NIU MEI. 2017. P.148-165. (In Russian) 

39. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Application of two-component media to valuation of shungite electrical conductivity.  Book of papers of XXV International conference «Electromagnetic field and materials». Moscow, NIU MEI. 2017. P.183-193. (In Russian)

40. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Application of electro-forced spectroscopy for geometrical simulation of shungite structure.  Book of papers of XXV International conference «Electromagnetic field and materials». Moscow, NIU MEI. 2017. P.194-206. (In Russian)

41. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Investigation of structure properties of graphene-containing shungite by the data of x-ray spectrum analysis. Zhurnal Radio electroniki – Journal of Radio Electronics. 2017. No.4. Available at: http://jre.cplire.ru/jre/apr19/1/text.pdf (In Russian)

42. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. The application of harmonic analysis of x-ray spectroscopy data for investigation of graphene-containing shungite structure. Book of papers of XXVII International conference «Electromagnetic field and materials (fundamental physical investigations)». Moscow, NIU MEI. 2019. P.227-237. (In Russian)

43. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. The integral conductivity discrete model of graphene-containing shungite. Book of papers of XXVII International conference «Electromagnetic field and materials (fundamental physical investigations)». Moscow, NIU MEI. 2019. P.238-245. (In Russian)

44. . Makeeva G.S., Golovanov O.A., Rinkevich A.B. A probabilistic model and electrodynamic analysis of the resonance interaction of electromagnetic waves with magnetic 3D nanocomposites. Journal of Communications Technology and Electronics. 2014. Vol.59. No.2. P.139-144. 

45. Golovanov O.A., Makeeva G.S., Rinkevich A.B. Interaction of terahertz electromagnetic waves with periodic gratings of graphene micro- and nanoribbons. // Technical Physics. The Russian Journal of Applied Physics. 2016. Vol.61. No.2. P.274-282.

46. Makeeva G.S., Golovanov O.A. Matematicheskoye modelirovaniye elektronnoupravlyayemykh ustroystv teragertsovogo diapazona na osnove grafena i uglerodnykh nanotrubok [Mathematical simulation of electron-guided designs of thera-cycle frequency range on the basis of graphene and carbon nano-tubes]. Penza. Penza State University.  2018. (In Russian)

47.  Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Investigation of electrical and structural properties of shungite based on the conductivity cards analysis.  Book of papers of XXVI International conference «Electromagnetic field and materials (fundamental physical investigations)». Moscow, NIU MEI. 2018. P.293-302. (In Russian)

48. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Investigation of structure and electrical properties of graphene-containing shungite by data of electro-force spectroscopy. Part 1. Concentration of carbon. Zhurnal Radio electroniki – Journal of Radio Electronics. 2018. No.8. Available at: http://jre.cplire.ru/jre/aug18/5/text.pdf (In Russian)

49. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Investigation of structure and electrical properties of graphene-containing shungite by data of electro-force spectroscopy. Part 2. Discretization of structure. Zhurnal Radio electroniki – Journal of Radio Electronics. 2018. ¹8. Available at: http://jre.cplire.ru/jre/aug18/6/text.pdf (In Russian)

50. Antonets I.V., Golubev E.A., Shavrov V.G., Shcheglov V.I. Investigation of structure and electrical properties of graphene-containing shungite by data of electro-force spectroscopy. Part 3. Integral conductivity.  Zhurnal Radio electroniki – Journal of Radio Electronics. 2018. No.8. Available at: http://jre.cplire.ru/jre/sep18/1/text.pdf  (In Russian)

51. Goldstein D., Jakovits H., editor. Prakticheskaya rastrovaya elektronnaya mikroskopiya [Practical raster electron microscopy]. Moscow. Nauka Publ. 1978. (In Russian)

52. Dmitriev A.V. Nauchnyye osnovy razrabotki sposobov snizheniya udel'nogo elektricheskogo soprotivleniya grafitirovannykh elektrodov [Scientific foundations of elaboration of methods for lowering specific electrical resistance of graphite containing electrodes]. Chelyabinsk. ChSPU. 2005. (In Russian)

53. Kalashnikov S.G. Elektrichestvo [Electricity]. Moscow. Nauka Publ. 1964. (In Russian)

54. Sivukhin D.V. Obshchiy kurs fiziki. T.3. Elektrichestvo [General course of physics. V.3. Electricity]. Moscow. Nauka Publ. 1977. (In Russian)

 

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