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Dielectric constants of tephroite, fayalite and olivine and the oxide additivity rule

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Abstract

The dielectric constants and dissipation factors of synthetic tephroite (Mn2SiO4), fayalite (Fe3SiO4) and a forsteritic olivine (Mg1.80Fe0.22SiO4) were measured at 1 MHz using a two-terminal method and empirically determined edge corrections. The results are: tephroite, κ′a= 8.79 tan δa = 0.0006 κ′b = 10.20 tan δb = 0.0006 κ′c= 8.94 tan δc= 0.0008 fayalite, gk′a = 8.80 tan δa = 0.0004 gk′b= 8.92 tan δb = 0.0018 gk′c = 8.58 tan δc = 0.0010 olivine, gk′a = 7.16 tan δa = 0.0006 gk′b = 7.61 tan δb = 0.0008 gk′c = 7.03 tan δc = 0.0006 The low dielectric constant and loss of the fayalite indicate an exceptionally low Fe3+ content. An FeO polarizability of 4.18 Å3, determined from αD(FeO) = [αD (Fe2SiO4)-αD(SiO2)]/2, is probably a more reliable value for stoichiometric FeO than could be obtained from FexO where x = 0.90–0.95. The agreement between measured dielectric polarizabilities as determined from the Clausius-Mosotti equation and those calculated from the sum of oxide polarizabilities according to αD(M2M′X2) = 2αD(MX) + αD(M′X2) is ∼+2.8% for tephroite and +0.2% for olivine. The deviation from additivity in tephroite is discussed.

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Authors and Affiliations

  1. Central Research and Development Department, E. L Du Pont de Nemours and Co., Inc., Experimental Station, 19880-0356, Wilmington, DE, USA

    R. D. Shannon & M. A. Subramanian

  2. Institute for Materials Research, Tohoku University, Katsura 2-1-1, 980, Sendai, Japan

    S. Hosoya

  3. Division of Geological and Planetary Sciences, California Institute of Technology, 91125, Pasadena, CA, USA

    G. R. Rossman

Authors
  1. R. D. Shannon
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  2. M. A. Subramanian
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  3. S. Hosoya
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  4. G. R. Rossman
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Contribution No. 5535

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Shannon, R.D., Subramanian, M.A., Hosoya, S. et al. Dielectric constants of tephroite, fayalite and olivine and the oxide additivity rule. Phys Chem Minerals 18, 1–6 (1991). https://doi.org/10.1007/BF00199037

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  • DOI: https://doi.org/10.1007/BF00199037

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