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    Complex ac conductivity of a carbon black composite as a function of frequency, composition, and temperature

    D. S. McLachlan*

    Michael B. Heaney†

    • Physics Department and Condensed Matter Physics Research Unit, University of the Witwatersrand, Johannesburg, South Africa

    • Huladyne Consulting, 160 Waverlye Street, Palo Alto, California 94301-1138

    • *Electronic address: mclachlan@physnet.phys.wits.ac.za
    • †Electronic address: mheaney@alum.mit.edu

    Phys. Rev. B 60, 12746 – Published 1 November, 1999

    DOI: https://doi.org/10.1103/PhysRevB.60.12746

    Abstract

    The complex conductivities between 10 mHz and 1 MHz of a series of disordered carbon-black-polymer composites have been measured. The carbon black volume fractions span the percolation threshold, with dc conductivities ranging from 10−18 to 10−6(Ωcm)−1. The room temperature results are similar to previous measurements on other percolation systems. Conductivity measurements as a function of temperature on a composite sample, slightly above the room-temperature percolation threshold, are consistent with the percolation threshold increasing with temperature and becoming equal to the actual volume fraction at about 130 °C. The real conductivity at different temperatures is shown to scale onto a single curve. An anomalous peak in the real dielectric constant as a function of composition close to the percolation threshold is also observed.

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