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Dielectric constants of diaspore and B-, Be-, and P-containing minerals, the polarizabilities of B_2O_3 and P_2O_5, and the oxide additivity rule

Shannon, Robert D. and Subramanian, Munirpallam A. and Mariano, Anthony N. and Gier, Thurman E. and Rossman, George R. (1992) Dielectric constants of diaspore and B-, Be-, and P-containing minerals, the polarizabilities of B_2O_3 and P_2O_5, and the oxide additivity rule. American Mineralogist, 77 (1-2). pp. 101-106. ISSN 0003-004X.

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The 1-MHz dielectric constants and loss factors of the minerals diaspore, euclase, hamberyite, sinhalite, danburite, datolite, beryllonite, and montebrasite and of the synthetic oxides La_(2)Be_(2)O_5, AlP_(3)O_9, and NdP_(5)O_14, were determined. The dielectric polarizabilities of B_(2)O_3, and P_(2)O_5, derived from the dielectric constants of these compounds are 6.15 and 12.44 Å^3, respectively. The dielectric constants of the above minerals and oxides, along with the dielectric polarizabilities of Li_(2)O, Na_(2)O, BeO, MgO, CaO, Al_(2)O_3, Nd_(2_O_3, La_(2)O_3, SiO_2, diaspore, and the derived values of the polarizabilities of B_(2)O_3, and P_(2)O_5, were used to calculate dielectric polarizabilities from the Clausius-Mosotti equation and to test the oxide additivity rule. The oxide additivity rule is valid to ±0.5% for all except beryllonite. These compounds with deviations from additivity of 0.5-1.5%, along with previously studied aluminate and gallate garnets, chrysoberyl, spinel, phenacite, zircon, and olivinetype silicates, form a class of well-behaved oxides that can be used as a basis for comparison of compounds that show larger deviations (>5%) caused by ionic or electronic conductivity, the presence of H_(2)O or CO_2, or structural peculiarities.

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Rossman, George R.0000-0002-4571-6884
Additional Information:© 1992 Mineralogical Society of America. Manuscript received November 26, 1990; manuscript accepted September 11, 1991. We thank B.H.T. Chai for providing the crystal of La_(1.98)Nd_(0.02)Be_(2)O_5; T.J. Muro of Ferroxcube, Saugerties, New York; for the crystal of Nd-P_(5)O_(14); D.A. Appleman of the Smithsonian Institution for providing the crystal of montebrasite (USNM 157924); R.W. Shiffer for sample preparation; R. A. Oswald for making the capacitance measurements; A. Brown (Studsvik Energiteknik AB, Nykoping, Sweden), L.F. Lardear, and R.L. Harlow for crystal orientation and C. Foris for obtaining cell dimensions; and J.T. Annstrong (California Institute of Technology, Pasadena, California) for microprobe. This work was supported in part by NSF grant EAR-8618200. Contribution no. 5672.
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Caltech Division of Geological and Planetary Sciences5672
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ID Code:38486
Deposited On:15 May 2013 20:45
Last Modified:03 Oct 2019 04:57

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