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Effective conductivity of a polycrystalline medium with weak macroscopic anisotropy

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Abstract

In the effective medium approximation, an analytical solution is obtained for calculating the tensor of the effective conductivity of a polycrystalline medium with weak uniaxial texture. The medium is assumed to consist of a single type of biaxial spherical crystallites. The orientation of the crystallites is taken into account by means of the theory of rotation group representations. A solution generalized to triaxial textures is obtained.

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References

  1. I. V. Lavrov, Izv. Vyssh. Uchebn. Zaved., Elektron., No. 1, 3 (2008).

    Google Scholar 

  2. I. V. Lavrov, Izv. Vyssh. Uchebn. Zaved., Elektron., No. 3, 3 (2010).

    Google Scholar 

  3. I. V. Lavrov, Ekol. Vestn. Nauch. Tsentrov Chernomorsk. Ekonom. Sotrudn., No. 1, 52 (2009).

    Google Scholar 

  4. I. M. Gelfand, R. A. Minlos, and Z. Ya. Shapiro, Representations of the Rotation and Lorentz Groups and their Applications (Pergamon, Oxford, 1963; Fizmatgiz, Moscow, 1958).

    Google Scholar 

  5. D. Stroud, Phys. Rev. B 12, 3368 (1975).

    Article  ADS  MathSciNet  Google Scholar 

  6. J. Helsing and A. Helte, J. Appl. Phys. 69, 3583 (1991).

    Article  ADS  Google Scholar 

  7. I. Lavrov, Dielectric and Conductive Properties of Inhomogeneous Media with Texture (LAP Lambert Academic Publishing, Saarbrucken, 2011).

    Google Scholar 

  8. Physical Values, The Handbook, Ed. by I. S. Grigor’ev and E. Z. Meilikhov (Energoatomizdat, Moscow, 1991) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. National Research University of Electronic Technology, Zelenograd, Russia

    I. V. Lavrov

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  1. I. V. Lavrov
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Correspondence to I. V. Lavrov.

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Original Russian Text © I.V. Lavrov, 2013, published in Izvestiya vysshikh uchebnykh zavedenii. Elektronika, 2012, Vol. 96, No. 4, pp. 3–12.

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Lavrov, I.V. Effective conductivity of a polycrystalline medium with weak macroscopic anisotropy. Semiconductors 47, 1667–1673 (2013). https://doi.org/10.1134/S1063782613130113

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  • DOI: https://doi.org/10.1134/S1063782613130113

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