Statistical Thermodynamics of Mixtures

Abstract

FROM some work employing the Bethe technique, I deduced¹ a formula for the number of configurations of mixtures of p-mer and single molecules on a lattice. Afterwards, a kinetic derivation of this formula, together with its generalization to the case of a mixture of simple or branched chain molecules of any number of species, was given by Guggenheim² using the principle of detailed balancing. The formula in question can be written in the form: where q_iz is the number of sites which are closest neighbours of a molecule of species i which contains r_i submolecules (a slight modification of the definition covers the case of flexible open-chain molecules which can bend back on themselves), and the other symbols have their customary meanings. The value of q_i is given by