Journal of the Korean Ceramic Society (한국세라믹학회지)

The Korean Ceramic Society (한국세라믹학회)
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Extended Mixing Rule to Complex Permittivity

  • Published : 2003.04.01
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Abstract

Various types of equation for mixing rule on permittivity of mixture have been proposed, but none of these is not perfect because of the inconsistency between the actual geometrical configuration and the basic model for calculation. Serial model and parallel model are lower and upper extremes of mixing manner, the apparent permittivity of any other type of mixture stay between these two extreme states. For the random mixture of the stumpy fine particles, customarily the logarithmic mixing rule has been applied. But, the logarithmic mixing rule does not give the proper value of permittivity in low or high mixing rate of constituent. The author proposed the new mixing rule that gives better consistency with measured value in whole mixing range compared to the logarithmic rule. In this paper, a desirable refinement on the equation proposed in the previous paper is made to adapt to thr configuration image of actual compound and then the equation has been expanded to the complex permittivity to apply the mixing rule on the dissipative materials cases.

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References

  1. J. Am. Ceram. Soc. v.76 A New Equation for Predicting the Dielectric Constant of Mixture K.Wakin;T.Okada;N.Yoshida;K.Tomono https://doi.org/10.1111/j.1151-2916.1993.tb03985.x
  2. Dielectric Materials and Applications A.R.von Hippel
  3. Glass Technology v.24 Lead-through Seals Incorporating a Foamed Glass Ceramics G.Partidge
  4. Mat. Res. Bull. v.13 Connectivity and Piezoelectric-pyroelectric Composites R.E.Newnhan;D.P.Skinner;L.E.Cross https://doi.org/10.1016/0025-5408(78)90161-7
  5. Denkigakkaishi (Trans. IECE) v.51-C no.11 The Effect of Density and Grain Size of Piezoelectric Ceramics Influencing upon the Electrial Properties(in Jpn.) K.Okazaki;K.Nagata
  6. J. Am. Ceran. Soc. v.60 Effect of Porosity and Grain Size on the Magnetic Properties of NiZn-ferrite H.Igarashi
  7. Seramikusu (Ceramics) v.12 no.2 Control of Microstructure of Dielectric Ceramics and their Properties(in Jpn.) H.Igarashi
  8. Jpn. J. Appl. Phys. v.24 no.Sup22-24 Theoretical Equations for Dielectric and Piezoelectric Properties of Ferroelectric Compoisites Based on Modified Cubes Model H.Banno https://doi.org/10.1143/JJAP.24.L445
  9. J. Appl. Phys. v.50 no.7 Piezoelectric Properties in the Composite Systems of Polymers and PZT Ceramics T.Frukukawa;K.Ishida;E.Fukada https://doi.org/10.1063/1.325592
  10. Mat. Lett. v.4 Relative Permittivity of Calcium Aluminate Cement-glass Microsphere Composites P.Sliva;L.E.Cross;T.R.Gururaja;B.E.Scheetz https://doi.org/10.1016/0167-577X(86)90041-8
  11. Finite Element for Electrical Engineers P.P.Silvester;R.L.Ferrari