An internally consistent thermodynamic dataset with uncertainties and correlations: 1. Methods and a worked example

Journal of Metamorphic Geology - Tập 3 Số 4 - Trang 327-342 - 1985
Roger Powell1, T. J. B. Holland2
1Department of Geology, University of Melbourne, Parkville, Victoria 3052, Australia
2Department of Earth Sciences, University of Cambridge, Downing Street, Cambridge, CB2 3EQ, UK

Tóm tắt

Abstract This, the first two papers, sets out the philosophy and methods of determining an internally consistent thermodynamic dataset for minerals using the least squares method. The applicability of the least squares method is discussed, and it is applied to a small set of experimental equilibria in the system Na2O–Al2O3–SiO2–H2O. The importance is stressed of defining not only the enthalpies of formation of minerals, but also the uncertainties and the correlations among them. The system which has been used as an illustration for this paper serves as a visual guide to the method, as it is small enough to represent graphically in two dimensions. In the paper which follows, we extend the method to a system of 60 equations (experimentally determined equilibria) involving 34 unknowns (enthalpies of formation of mineral end‐members).

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Journal of Metamorphic Geology

Tập 3 Số 4

327-342

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