Abstract
A theoretical formula of dielectric relaxation in a form of complex relative permittivity is derived for dilute suspensions of spherical particles of two kinds on the basis of the Maxwell-Wagner theory of interfacial polarization. Another theoretical formula is derived further for concentrated suspensions of spheres of two kinds on condition that the formula derived above holds for the infinitesimally increasing process in concentration of the dispersed spheres. Furthermore a theoretical formula is derived for concentrated suspensions of shelled spheres of two kinds as the extension of the formula for concentrated suspensions. By use of the theoretical formulas proposed, values of the permittivities and the conductivities of the two-component suspensions were calculated for some examples with different sets of phase parameters. Results of the numerical calculation demonstrates dielectric relaxation profiles full of variety and characteristic of the suspensions containing two kinds of spheres covered with or without shells.
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References
Maxwell JC (1891) A Treatise on Electricity and Magnetism, Third ed, Vol 1, Chap 9, Art 310–314, Clarendon Press, Oxford, p 435
Wagner KW (1914) Arch Electrotech 2:371
Hanai T (1960) Kolloid Z 171:23
Hanai T (1961) Kolloid Z 175:61
Hanai T (1968) In: Sherman P (ed) Electrical Properties of Emulsions, Emulsions Science, Chap 5, Academic Press, London, New York, p 353
Hanai T (1961) Kolloid Z 177:57
Hanai T, Imakita T, Koizumi N (1982) Coll & Polym Sci 260:1029
Ishikawa A, Hanai T, Koizumi N (1981) Jpn J Appl Phys 20:79
Ishikawa A, Hanai T, Koizumi N (1982) Jpn J Appl Phys 21:1762
Ishikawa A, Hanai T, Koizumi N (1983) Jpn J Appl Phys 22:942
Ishikawa A, Hanai T, Koizumi N (1984) Coll & Polym Sci 262:477
Zhang HZ, Sekine K, Hanai T, Koizumi N (1983) Coll & Polym Sci 261:381
Zhang HZ, Sekine K, Hanai T, Koizumi N (1984) Coll & Polym Sci 262:513
Grosse C (1979) J Chim Phys 76:153
Bruggeman DAG (1935) Ann Phys Leipzig (5) 24:636
Boned C, Peyrelasse J (1983) Coll & Polym Sci 261:600
Boyle MH (1985) Coll & Polym Sci 263:51
Sekine K, Hanai T, Koizumi N (1983) Bull Inst Chem Res Kyoto Univ 61:299
Hanai T, Asami K, Koizumi N (1979) Bull Inst Chem Res Kyoto Univ 57:297
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Hanai, T., Sekine, K. Theory of dielectric relaxations due to the interfacial polarization for two-component suspensions of spheres. Colloid & Polymer Sci 264, 888–895 (1986). https://doi.org/10.1007/BF01410640
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DOI: https://doi.org/10.1007/BF01410640