A model is derived to represent the
variation of free energy of combination of one gram-atom of two components,
represented by A and B, in intermediate single, or compound, phases in a binary
system as a function of composition at constant temperature, and with a minimum
of experimental data. The derivation of the model involves the, assumption that
the straight lines representing the free energy of the two phase fields
adjacent to a compound phase, on an isothermal integral free energy against
atomic fraction diagram, intersect at the mid-point of the compound phase. A
relation between logaA, logaB, and the atomic fraction NB is
developed so as to conform with the preceding requirement and yield an almost
horizontal tangent to the curve representing the compound phase at NB
= � for a hypothetical symmetrical isothermal diagram. The equations developed
on these bases are extended to non-symmetrical systems. These are shown to be
successful in predicting the variation in free energy of compound phases, as a
function of composition, in binary systems for which experimental data are
available.