By I. (editor) Prigogine

The *Advances in Chemical Physics* sequence presents the chemical physics and actual chemistry fields with a discussion board for serious, authoritative reviews of advances in each quarter of the self-discipline. full of state of the art study stated in a cohesive demeanour now not chanced on in different places within the literature, each one quantity of the *Advances in Chemical Physics* sequence serves because the excellent complement to any complicated graduate type dedicated to the research of chemical physics.

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I n chain number k like defects may be interchanged in n, ! ways. Equation (135) can therefore be written as where The double prime on the summation over S(n) signifies that it is over every arrangement of vertices in each of the q-bond chains when only vertices corresponding to different defect species are distinguishable. The summation over n gives terms corresponding to every possible composition of each of the Y chains. To carry out the summations over n and d(n) we again employ the properties of the Fourier transforms and of the matrix Q.

61) gives minus the Helmholtz free energy divided by kT of a gas of non-interacting particles in which every particle is permitted to occupy any site on its sublattice with equal probability. The first term is a correction to the second arising from the excluded site property. The first term is conveniently added to the terms in the expansion of log Q,’. From Eqs. (39),(54), and (61) together with the analysis following Eq. (57) it is found that log Qc = B 2 cEB, La2 - log (n(c;Je)N”) w B E 1 where B, is defined by f 15.

ALLNATT The double-primed summation is over all distinguishable arrangements of a set of vertices of fixed composition, n, in a cycle, like vertices being treated as indistinguishable. 6sv82For the purposes of the present section a more detailed specification of defect positions than that so far employed must be introduced. Thus, defects i and j are in unit cells E and m respectively, the origins of the unit cells being specified by vectors R, and R, relative to the origin of the space lattice.