Effective permittivityin the matrix dispersed systems with two-layered inclusions

Authors

  • S. Shostak National University of Life and Environmental Sciences of Ukraine image/svg+xml

DOI:

https://doi.org/10.31548/energiya2018.05.195

Abstract

Currently, the dispersed systems (DS) with inclusions of different nature and form are of great interest. Examples of such systems are matrix-disperse systems (MDS) with spherical bimetal nanoparticles of noble metals such as the silver core - gold shell, or vice versa - the golden core - the silver shell. The urgency of the study is connected, first of all, with the possibility of using the special properties of various disperse systems for the creation of composite materials based on them with electrodynamic, thermophysical and elastic properties, predetermined.

The purpose of the study is to calculate the frequency dependences of effective dielectric permittivity for MDS with double-layer ball inclusions with a conducting anisotropic film.

The main task of finding dielectric losses in the MDS is the calculation of the frequency dependence of the imaginary part of the effective dielectric permittivity in such systems, taking into account their composition and structure, and the subsequent calculation of the magnitude of dielectric losses.

The methods for calculating the absorption of electromagnetic radiation (EMF) in matrix disperse systems (MDS) with multilayer inclusions (in our case, the two-layers) are demonstrated on a model system of a two-layer spherical particle with a film of adsorbed water placed in a matrix with a certain dielectric constant.

The analytical dependences of the effective dielectric constant of the system on the relative contribution of the volume of water in a separate aerosol particle and the filling degree, which completely solve the problem of dielectric losses in such disperse systems, were obtained.

In the Maxwell-Garnett approximation, a detailed analysis of the dependences of the effective dielectric constant on the frequency of the external field and on the system parameters was carried out. Dielectric losses in matrix disperse systems with two-layer ball inclusions are calculated. It follows from the obtained results that dielectric losses are observed at the level of Ohm-1 conductors (experimental value), the degree of filling and the volume of water in the frequency range Hz.

Keywords: dielectric loss, matrix dispersion systems, the effective dielectric constant

References

Chelidze, T. L., Derevyanko, A. I., Kurilenko, O. D. (1977). Elektricheskaya spektroskopiya geterogennykh sistem [Electrical spectroscopy of heterogeneous systems]. Kyiv.: Nauk. mneniye, 232.

Felderhof , B. U., Ford , G. W., Cohen, E. G. D. (1982). Cluster expansion for the dielectric constant of a polarizable suspension. J. Stat. Phys., 28(1), 135-164.

https://doi.org/10.1007/BF01011628

Odolevskiy, V.I. (1951). Raschet obobshchennoy provodimosti geterogennykh sistem [Calculation of the generalized conductivity of heterogeneous systems], ZHTF, 6, 667-685.

Lamb, W., Wood, D. M., Ashcroft, N. W. (1980). Long-wavelenght electromagnetic propagation in heterogeneous media. Phys. Rev. B., 21(6), 2248-2266.

https://doi.org/10.1103/PhysRevB.21.2248

Landau, L. D., Lifshits, Ye. M. (1982). Elektrodinamika sploshnykh sred [Electrodynamics of continuous media].Teor. fiz., Moskow: Nauka, 8, 624.

Shertan F. (1972). Emul'sii [Emulsions], Khimiya, 448.

Dzhekson, Dzh. Klassicheskaya elektrodinamika [Classical electrodynamics], Moskow: Mir, 1965, 720.

Maxwell, J. C. (1891). A treatise on electricity and magnetism, Oxford: Clarendon, 3(2).

Maxwell, Garnett J. C. (1904). Colours in metal glasses and in metallic films, Philos. Trans. Roy. Soc., A203, 385-420.

https://doi.org/10.1098/rsta.1904.0024

Grechko, L. G., Pustovit, V. N., Shostak, S. V. (1999). Influence of particle multipole interaction on the absorbtion spectra of radiation in the metallic, Pros. SPIE, 890, 391-397.

Grechko, L. G., Zarko, M., Kozub, M., Motrich ,V. V., Pikalov, V .K. (1991). Dielektricheskiye poteri v mnogosloynykh dispersnykh sistemakh [Dielectric loss in multilayer dispersed systems], ITF-91-26R. Kiyev, 33, (Preprint).

Shostak, S. V., Vodop'yanov, D. L., Grechko, L. G. (2002). Dielektricheskiye poteri v matrichnykh dispersnykh sistemakh [Dielectric losses in matrix disperse systems], Kyiv universite, s.: fiz.-mat., 1, 412 -420.

Grechko, L. G., Motrich, V. V., Ogenko, V. M. (1993). Dielektricheskaya pronitsayemost' dispersnykh system [Dielectric constant of dispersed systems]. Chemistry, Physics and Surface Technology,1, 17-36.

Prishivalko, A. P., Babenko, P., Kuz'min, V. N. (1984). Rasseyaniya i pogloshcheniye sveta neodnorodnymy i anizatropnymy sfericheskiy chastitsami [Scattering and absorption of light by inhomogeneous and anisatropic spherical particles], Mn. : Nauka i tekhnika, 263.

Grechko, L. G., Zarko, V. I., Motrich, V. V., Chuyko, A. A. (1988). Dielektricheskaya pronitsayemost' geterogennykh sistem [The dielectric constant of heterogeneous system], Theor. and experts. chemistry, 24(5), 619-622.

Published

2018-11-15

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