Estimation of the dielectric constant of H 2 O from experimental solubilities of quartz, and calculation of the thermodynamic properties of aqueous species to 900°C at 2 kb

Mathematics – Logic

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Experimental quartz solubilities in H 2 O ( and , 1965, 1967) were used together with equations of state for quartz and aqueous species ( et al. , 1978; and , 1977) to calculate the dielectric constant of H 2 O ( H 2 O ) at pressures and temperatures greater than those for which experimental measurements ( , 1969; et al. , 1975) are available (0.001 P 5 kb and 0 T 600° C ). Estimates of H 2 O computed in this way for 2 kb (which are the most reliable) range from 9.6 at 600°C to 5.6 at 800°C. These values are 0.5 and 0.8 units greater, respectively, than corresponding values estimated by and (1965), but they differ by <0.3 units from extrapolated values computed from (1983) adaptation of the (1939) equation. The estimates of H 2 O generated from quartz solubilities at 2 kb were fit with a power function of temperature, which was then used together with equations and data given by and (1974a,b, 1976) et al. (1981), and (1982b, 1984) to calculate Born functions, Debye Hückel parameters, and the thermodynamic properties of Na + , K + , Mg ++ , Ca ++ , and other aqueous species of geologic interest at temperatures to 900°C.

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