Density calculations for silicate liquids. I. Revised method for aluminosilicate compositions

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Scientific paper

Equations are developed for calculating the density of aluminosilicate liquids as a function of composition and temperature. The mean molar volume at reference temperature T r , is given by , where the summation is taken over all oxide components except A1 2 O 3 , X stands for mole fraction, terms are constants derived independently from an analysis of volume-composition relations in alumina-free silicate liquids, and is the composition-dependent apparent partial molar volume of Al 2 O 3 . The thermal expansion coefficient of aluminosilicate liquids is given by , where terms are constants independent of temperature and composition, and is a composition-dependent term representing the effect of Al 2 O 3 on the thermal expansion. Parameters necessary to calculate the volume of silicate liquids at any temperature T according to V ( T ) = V r exp [ ( T - T r )], where T r = 1400° C have been evaluated by least-square analysis of selected density measurements in aluminosilicate melts. Mean molar volumes of aluminosilicate liquids calculated according to the model equation conform to experimentally measured volumes with a root mean square difference of 0.28 cc / mole and an average absolute difference of 0.90% for 248 experimental observations. The compositional dependence of is discussed in terms of several possible interpretations of the structural role of Al 3+ in aluminosilicate melts.

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