Entropies of mixing in certain athermal binary solutions

Abstract
Approximate formulae for the entropy of mixing of binary athermal mixtures can be obtained by means of the model, first used by Fowler & Rushbrooke, of a lattice on which molecular species differ from one another in the number and relative orientation of the lattice points which a single molecule occupies. The previous work of Chang, Huggins, Miller and Guggenheim on open chain molecules has here been extended to molecules having the shapes of equilateral triangles, regular tetrahedra and squares. It is found that the entropy of mixing depends less on the shapes of the molecules than on their relative sizes. Flory’s formula; which corresponds formally to letting the co-ordination number z tend to infinity, gives a considerably better approximation to our values than does the formula for ideal solutions.

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