Thermodynamic analysis of equilibria between binary liquid and solid solutions in ternary systems. Application to systems in which two guests compete for sites in the same host, tetrakis(4-methylpyridine)nickel(II) isothiocyanate

Abstract

A thermodynamic analysis is presented of the equilibria between liquid solutions of guest A in guest B and solid solutions of HA in HB, where HA and HB are isomorphous 1:1 compounds of these guests with the host H. (The treatment is applicable whether or not HA and HB are inclusion compounds.) The mole ratio of A to B in the liquid,R1, is generally different from the same ratio in the solid,Rs. Data on many systems have indicated a linear relation between InR1, and InRs, but to date no theoretical basis has been forthcoming. The present analysis shows that this relation is usually sigmoidal in shape but, with certain restrictions, is nearly linear. The slope and intercept are interpreted in terms of the equilibrium constant for the displacement of A from HA by B and the deviations from ideality in the liquid and solid phases. If the deviations from ideality in the liquid phase are known or can be estimated, those for the solid phase can be determined, and thermodynamic equilibrium constants and standard free energy changes for the displacement of A by B calculated. These methods were applied to available data for the following pairs of guests with the host Ni(4-mepy)4(NCS)2:p-xylene with each ofp-dibromobenzenp-xylene-d6,p-xylene-d10,p-bromotoluene,p-chlorotoluene,p-dichlorobenzene,p-fluorotoluene, ethylbenzene, toluene, and benzene, and the pairsp-dichlorobenzene/p-chlorotoluene and ethylbenzene/ toluene.