Some thermodynamic properties of the Berman and Brown model for CaO-Al2O3-SiO2 |
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| Authors: | Lawrence M Barron |
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| Institution: | Geological Survey of New South Wales, Building B1 1a, University of New South Wales, P.O. Box 1, Kensington N.S.W. 2033, Australia |
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| Abstract: | The 
and 
(1984) excess free energy model (B&B) is extremely convenient to use in modelling multicomponent solutions. However, spinodal calculations reveal that their calibration of this model for CaO-Al2O3-SiO2 produces liquation tielines that do not appear to be in agreement with experimental work. In addition, their calibration contains some strongly negative excess entropy parameters and these permit a most unusual inverted liquation field to start at approximately >2115°C, wt% (SiO2, Al2O3, CaO) = (70, 16, 14). This inverted field expands rapidly to cover most of the ternary for T> 2300°C and continues to expand at all higher temperatures. The Berman and Brown calibration for this system carries these negative excess entropies of mixing because the solution model is very strongly asymmetric as a result of the use of normal oxide mole weights in modelling the configurational entropy of mixing. A suggestion is made for a fairly natural restriction on the relative sizes of empirical models for excess versus configurational entropy.Expressions are presented for the general consolute condition (all solution models) and for the second and third partials of the B&B Gx model. |
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