Density calculations for silicate liquids. I. Revised method for aluminosilicate compositions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Y Bottinga D Weill P Richet

Institution:	Université de Nice, Parc Valrose, 06034 Nice Paris France;University of Oregon, Eugene 97403 Paris France;Université de Paris VI, 4 place Jussieu, 75230 Paris France

Abstract:	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 $V_{r} = ∑X_{i} V ?^{o}_{i} + X_{A} V ?^{o}_{A}$ , where the summation is taken over all oxide components except A1₂O₃, X stands for mole fraction, $V ?^{o_{i}}$ terms are constants derived independently from an analysis of volume-composition relations in alumina-free silicate liquids, and $V ?^{o}_{A}$ is the composition-dependent apparent partial molar volume of Al₂O₃. The thermal expansion coefficient of aluminosilicate liquids is given by $α = ∑X_{i} \ ? ga_{i}^{o} + X_{A} \ ? ga_{A}^{o}$ , where $\ ? ga_{i}^{o}$ terms are constants independent of temperature and composition, and $\ ? ga^{o}_{A}$ is a composition-dependent term representing the effect of Al₂O₃ on the thermal expansion. Parameters necessary to calculate the volume of silicate liquids at any temperature T according to V(T) = V_rexpα(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 $V ?^{o}_{A}$ is discussed in terms of several possible interpretations of the structural role of Al³⁺ in aluminosilicate melts.

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