Abstract
Construction of mathematical models of phase diagrams such as done by Barron (1972 a, b) contributes to the understanding of physicochemical processes in igneous petrogenesis. In this review, the principles and practice of construction of mathematical models are explained in detail for the system Ab-An-Di. Major features of the ternary phase diagram can be predected from the phase diagrams of binary systems, Ab-An, An-Di and Di-Ab. Using the model we have constructed, a computer program was prepared to calculate the composition changes of major and trace elements contents in liquid and crystal phases during the maximum fractionation crystallization. The program makes it possible to calculate the fractionation curves for given starting compositions and relate it to various parameters such as percentage solidified, icophase curves, zonal structure of plagioclase, trace element partition coefficient and so on. The application of the model calculation to the natural igneous processes is also briefly discussed.
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