Abstract

A model is presented for the exchange kinetics of two ions between two or more non-equivalent lattice sites in quasi-binary crystals. The model is based upon the postulate of constant or near constant exchange energy between sites and should be applicable to certain complex crystals in which only a fraction of the atoms or ions of the lattice participate in the exchange. The equilibrium isotherms and the integrated rate equation are discussed for the case of two non-equivalent lattice sites with particular emphasis on isothermal disordering since this lends itself well to experimentation. The equations obtained are the simplest possible for a crystal involving two lattice sites. Although the rate equation has not yet been tested, certain data seem to confirm the equilibrium isotherms obtained as well as the shift of the equilibrium with temperature.

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