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Dielectric Constants of Apatite, Epidote, Vesuvianite, and Zoisite, and the Oxide Additivity Rule

Shannon, Robert D. and Rossman, George R. (1992) Dielectric Constants of Apatite, Epidote, Vesuvianite, and Zoisite, and the Oxide Additivity Rule. Physics and Chemistry of Minerals, 19 (3). pp. 157-165. ISSN 0342-1791. doi:10.1007/BF00202103.

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The dielectric constants and dielectric loss values of 4 Ca-containing minerals were determined at 1 MHz using a two-terminal method and empirically determined edge corrections. The results are: vesuvianitel κ′_a=9.93 tan δ=0.006 κ′_c=9.79 tan δ=0.005 vesuvianitel κ′_a=10.02 tan δ=0.002 κ′_c=9.85 tan δ=0.003 zoisite1 κ′_a =10.49 tan δ=0.0006 κ′_b =15.31 tan δ=0.0008 κ′_c=9.51 tan δ=0.0008 zoisite2 κ′_a =10.55 tan δ=0.0011 κ′_b =15.45 tan δ=0.0013 κ′_c=9.39 tan δ=0.0008 epidote κ′_(11)= 9.52 tan δ=0.0008 κ′_(22)=17.1 tan δ=0.0009 κ′_(33)= 9.37 tan δ=0.0006 fluorapatite1 κ′_a =10.48 tan δ=0.0008 κ′_c = 8.72 tan δ=0.0114 fluorapatite2 κ′_a =10.40 tan δ=0.0010 κ′_c=8.26 tan δ=0.0178 The deviation (δ) between measured dielectric polarizabilities as determined from the Clausius-Mosotti equation and those calculated from the sum of oxide polarizabilities according to α_D (mineral)=∑ α_D (oxides) for vesuvianite is ∼ 0.5%. The large deviations of epidote and zoisite from the additivity rule with Δ=+ 10.1 and + 11.7%, respectively, are attributed to “rattling” Ca ions. The combined effects of both a large F thermal parameter and possible F-ion conductivity in fluorapatite are believed to be responsible for Δ=+2–3%. Although variation of oxygen polarizability with oxygen molar volume (V_o) is believed to affect the total polarizabilities, the variation of V_o in these Ca minerals is too small to observe the effect.

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Rossman, George R.0000-0002-4571-6884
Additional Information:© 1992 Springer-Verlag. Received December 3, 1991. Accepted February 14, 1992. We thank L.F. Lardear and R.L. Harlow for orientation of the zoisite, and epidote crystals, R.W. Shiffer for sample preparation, R.A. Oswald for making the capacitance measurements, A. Brown (Studsvik Energiteknik AB, Nykoping, Sweden) and C. Foris for obtaining cell dimensions, and J.T. Armstrong and P.K. Carpenter (California Inst. Technology, Pasadena, CA) for microprobe data. We are particularly indebted to Dr. H. Krupp for making the zoisite crystals available for study. This work was supported in part by National Science Foundation Grant EAR-86-16064.
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Official Citation: Dielectric constants of apatite, epidote, vesuvianite, and zoisite, and the oxide additivity rule Robert D. Shannon, George R. Rossman pages 157-165
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39691
Deposited By: Ruth Sustaita
Deposited On:01 Aug 2013 14:55
Last Modified:09 Nov 2021 23:46

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