Derivation of Internally Consistent Data Bases Using Linear Programming

Derivation of Internally Consistent Data Bases Using Linear Programming 

Yet another type of internally consistent thermodynamic data base makes full use of phase equilibrium data as well as all other available thermochemical and physical measurements. The most complete example at present is the Berman, Brown and Greenwood (BBG) data base, described by Berman et al. (1984, 1985, 1986). Like the methods just described, the BBG approach analyzes all data simultaneously and produces an internally consistent set of thermodynamic data. However, the method differs significantly in using the mathematical technique called linear programming to deal with bracketed phase equilibrium data. 

This particular application of linear programming was introduced and has been succinctly summarized by Gordon (1973, 1977), and we use one of his examples to illustrate the general method here. For details, see the texts by Harbaugh and Bonham-Carter (1970, geologically relevant examples), and Gill et al. (1981, full 

Now the position of the equilibrium boundary could be estimated simply by drawing a line through the brackets, and this is how phase diagrams are usually 

T 0 (products stable) ArGp T 0 (reactants stable) ArGp T = 0 (equilibrium, 

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