Prediction of the activity of FeO in multicomponent magma from known values in [SiO 2 -KAlO 2 -CaAl 2 Si 2 O 8 ]-FeO liquids

Mathematics – Logic

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Using both high- and low-iron starting materials, 129 liquids are equilibrated with metallic Fe under controlled oxygen fugacity at 1600 K to contour for a FeO the geologically relevant portion of the system [SiO 2 -KAlO 2 -CaAl 2 Si 2 O 8 ]-FeO (SKAnF). The data show changes of a FeO - X FeO relations caused by systematic variation of Matrix composition in pseudobinaries of the type Matrix-FeO. The results clearly demonstrate that decrement of X An Matrix (= 1 - X KAlO 2 Matrix - X SiO 2 Matrix ) and increment of X KAlO 2 Matrix / X SiO 2 Matrix both cause the activity coefficient ( FeO ) to increase. Importantly, the a FeO - X FeO curves are flattened in the same compositional range where liquid immiscibility occurs at lower temperatures. A simple empirical ideal mixing model is proposed by assuming that magma consists of a variously interconnected polymeric network that is unaffected by the substitutions of Na for K and Mn, Mg and Ca for Fe. Furthermore, the components of magma are assumed to be SiO 2 , (Na, K)AlO 2 , CaAl 2 Si 2 O 8 , TiO 2 and the divalent cation oxides. The model is used to predict a FeO at 1600 K in multicomponent magma from the above data for SKAnF liquids. The excellent agreement between the calculated and measured values of the activity of FeO supports this model. The above assumptions are thus good approximations to physical reality. The predictions of the model for other properties of magma ( i.e. activities of other components, molar volumes, viscosities) are remarkably simple.

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