On the unusual properties dielectric constant of the electric field of the free atmosphere


  • T.A. Bilyi Subbotin Institute of Geophysics of the National Academy of Sciences of Ukraine, Ukraine




On the basis of experimental data vertical distribution electric field strength of the atmosphere, the applied problem of fitting constants in the model of the average self-consistent electric field is solved.The model is based on the nonlinear Poisson equation. Such an approach is not trivial because generally known in meteorology interpolation exponential function describing the empirical distribution of the electric field, space charge density and conductivity with a height not quite correctly reproduce a stable stratification of the electric field. Since aircraft measurements are carried out in a natural environment, the dielectric constant is lost, which leads to underestimated values of the electron-ion concentration.This is due to the fact that the potential in situ is screened and the Gauss theorem does not hold for it, and if it does, then for the radius of the Gaussian sphere it is less than the Debye screening radius. For a large Gaussian sphere, only the near-wall part of the electrometer is experimentally determined, and the shielded (inner) part does not contribute to the field flux through the surface by the dynamic screening of the electron. The magnitude of the screening of electrons in air is very large due to the dynamic polarizability of the medium and consists of two parts — the Debye and ion-plasma screening spheres. This, in turn, requires a redefinition of the dielectric constant for correct reproduction of field measurements. Thus, the verification of the dielectric constant was carried out on different experimental data, and its values lie within the same limits as the values obtained from the classical relations of Penn, Debye, and Landau.


Belyi, T.A., Zelenin,Yu.V. (2013). Electrostatic stratification of the global cloud system by the self-consistent field of the metastable electronion subsystem of the atmosphere. Geofizicheskiy Zhurnal, 35(3), 111-126 (in Russian).

Belyi, T.A., Zelenin,Yu.V. (2014). Dielectric functions of thermal electrons polarization of dry atmosphere (up to the heights plane of 12 km). Geofizicheskiy Zhurnal, 36(5), 91-117 (in Russian).

Bеlyi, T.A., Zеlеnin, Yu.A. Vertical stratification of excited molecules by self-consistent electric field in the lower stratosphere. (2017). Optika Atmosfery i Okeana, 30(1), 72-81 (in Russian). DOI: 10.15372/AOO20170110.

Bokhan, P.A., Buchanov, V.V., Fateev, N.V., Kalugin, M.M., Kazaryan, M.A., Prokhorov, A.M., Zakrevskıi, D.E. (2010). Laser Isotope Separation in Atomic Vapor. Moscow: Fizmatlit, 224 p. (in Russian).

Bragin,Yu.A., Shamahov, B.F. (1969). Full-scale investigation of a volume charge sign of atmosphere lower 50 km. Kosmicheskie issledovaniya, 7(5), 741-746 (in Russian).

Bragin,Yu.A., Tyutin, A.A., Kochev, A.A., Tyutin, A.A. (1974). Direct measurement of the atmospheric vertical electric field intensity up to 80 km. Kosmicheskie issledovaniya, 12(2), 302-308 (in Russian).

Golubkov, G.V., Manzhelii, M.I., Karpov, I.V. (2011). Chemical physics of the upper atmosphere. Khimicheskaja fizika, 30(5), 55-60 (in Russian).

Danilov, A.D., Vlasov, M.N. (1973). Photochemistry of Ionized and Excited Particles in the Low Ionosphere. Leningrad:Gidrometeoizdat, 192 p. (in Russian).

Degtyarev, V.S., Tuchkov, G.A., Tyutin, A.A. (1981). Results of jet measurements UV-radiation in lower mesosphere and stratosphere. In book: Propagation of radio waves and physics of atmosphere. Novosibirsk:Nauka, 211-214 pp. (in Russian).

Demekhin, F.V., Omelyanenko, D.V., Sukhorukov, V.L., Demekhina, L.A.,Werner, L., Kilih, B., Ehresmann, E., Shmorantser, H., Schartner, K.-H. (2008). Interference effects in the resonant excitation of 1s → π* molecule NO. Zhurnal strukturnoj himii, 49. Application, 67-76 (in Russian).

Illenberger, E., Smirnov, B.M. (1998). Electron attachment to free and bound molecules. UFN, 168(7), 731-766 (in Russian).

Landau, L.D., Lifshitz, E.M. (1989). Quantum Mechanics. Non-relativistic Theory. V.3. Moscow: Nauka, 768 p. (in Russian).

McEwan, M., Phillips, L. (1978). Chemistry of Atmosphere. Moscow: Mir, 376 p. (in Russian).

Observational data of the electric field of the atmosphere at different heights according to aircraftsounding during the International Geophysical Year and theInternational Geophysical Cooperation 1958-1959. (1963) 6. Ed. I.M. Imyanitov. Leningrad: Gidrometeoizdat, 228 p. (in Russian).

The data of measurements of electric field strength the atmosphere at various altitudes. (1965). Leningrad. 68 p. (in Russian).

Observational data of the electric field of the atmosphere at different altitudes according sensing 1971-1972. (Japan). (1974). Leningrad: Gidrometeoizdat, 52 p. (in Russian).

Smirnov, B.M. (1982). Excited Atoms. Moscow: Energoizdat, 232 p. (in Russian).

Tables of Physical Quantities, Ed. by I.K. Kikoin. (1976). Moscow: Atomizdat, 1008 p. (in Russian).

Tkachev, A.N., Yakovlenko, S.I. (2001). Anomalous slowdown of relaxation in an ultracold plasma, JETP Letters, 73(2), 71-73 (in Russian).

Fluktuacii jelektromagnitnogo polja Zemli v diapazone SNCh. Ed. M.S. Aleksandrova. (1972). Moscow: Nauka, 195 p.

Brasseur, G.P., & Solomon, S. (2005). Aeronomy of the Middle Atmosphere Chemistry and Physics of the Stratosphere and Mesosphere. Springer, 647 p.

Bychkov, V.L., Golubkov, G.V., & Nikitin, A.I. (2010). The Atmosphere and Ionosphere. Dynamics, Processes and Monitoring. Springer, 378 p.

Chen, L.F., Huang, G.Q., & Song, K.S. (1996). Desorption of atoms and excimers upon self-trapping of excitons in rare gas solids. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 116(1-4), 61-65. https://doi.org/10.1016/0168-583X(96)00120-6.

Golubkov, G.V., Golubkov, M.G., & Manzhelii, M.I. (2012). Microwave Radiation in the Upper Atmosphere of the Earth During Strong Geomagnetic Disturbances. Russian Journal of Physical Chemistry B, 6(1), 112-127. https://doi.org/10.1134/S1990793112010186.

Penn, D.R. (1962). Wave-Number-Dependent Dielectric Function of Semiconductors. Physical Review, 128(5), 2093-2097. https://doi.org/10.1103/PhysRev.128.2093.

Pruppacher, H.R., & Klett, J.D. (2010). Microphysics of clouds and precipitation. Shpringer, 956 p.

Stolzenburg, M., Marshall, T.C., & Krehbiel, P.R. (2015). Initial electrification to the first lightning flash in New Mexico thunderstorms. Journal of geophysical research: Atmospheres, 120(21), 11,253-11,276. https://doi.org/10.1002/2015JD023988.



How to Cite

Bilyi, T. . (2021). On the unusual properties dielectric constant of the electric field of the free atmosphere. Geofizicheskiy Zhurnal, 43(2), 189–200. https://doi.org/10.24028/gzh.v43i2.230198