Abstract
A unique method for describing and establishing the reaction scheme of a multicomponent phase diagram is proposed in terms of graph theory. A geometrical representation of the connections between invariant reactions is considered as the basis to introduce the matrix formula of a graph that models a reaction scheme; then the number of all possible reaction schemes is enumerated. With a matrix operation, the most probable (full or partial) reaction scheme(s) can be selected within available experimental data. A ternary phase diagram was chosen as an example to show how to relate with experimental data. It is also shown that the number of invariant reactions in a ternary phase diagram can be expressed as a function of the numbers of binary and ternary phases.
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Miura, S. Geometrical approach to reaction schemes of multicomponent phase diagrams. JPED 27, 34–46 (2006). https://doi.org/10.1361/105497106X92781
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DOI: https://doi.org/10.1361/105497106X92781