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Complex permittivity based on equivalent circuit model for polymer/metal composite. Frequency dependence of permittivity as function of concentration

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2 Author(s)
Matsumoto, M. ; Nippon Telegraph & Telephone Corp., Tokyo, Japan ; Miyata, Y.

The frequency dependence of the complex permittivity of a binary composite system in which metal particles were randomly dispersed in a polymer was formulated for a wide range of particle concentrations (5 to 50%vol) by using a simple equivalent circuit model. A composite containing a small amount of particles has a unit structure in which polymer separates the metal particles. This indicates one type of channel for electric-flux running from one particle to the next one via the polymer. The complex permittivity ε˙c, of this composite was found to be proportional to the complex permittivity ε˙p of the polymer, independent of frequency ε˙c=kε˙p, where coefficient k increases with the particle concentration. In contrast, a composite containing a large amount of particles has a unit structure in which the metal particles directly touch. This indicates two types of channels running from particle to particle: one via the polymer and one via the particle boundaries. The complex permittivity ε˙c, of this composite is expressed as the sum of two terms: ε˙c=k1ε˙p+F2 (f), where k1 increases with the particle concentration and F˙2(f) decreases with the frequency. Both formulas were verified experimentally by analyzing the relationship between composite permittivity ε˙c, and polymer permittivity ε˙p

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Dielectrics and Electrical Insulation, IEEE Transactions on  (Volume:6 ,  Issue: 1 )