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

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

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gecoa..46..909b&link_type=abstract

Geochimica et Cosmochimica Acta, vol. 46, Issue 6, pp.909-919

Computer Science

37

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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