Abstract
A theoretical model is developed to predict the separation factor in the co-crystallization of a compound with an isomorphic impurity. This model envisions reversible surface reactions for the crystallization of each of the two substances and predicts that the separation factor depends on the overall rate constants of the forward and the reverse reactions. According to this model the separation factor approaches the ratio of the equilibrium constants at small rates of crystallization and approaches the ratio of the forward rate constants at large rates of crystallization. Moreover, this theory shows how isomorphic impurities can concentrate in the solid phase upon crystallization. These theoretical conclusions were in agreement with the experimental results obtained from the crystallization of ammonium perchlorate with KMnO 4 and K +-impurity. The average values of the separation factors were obtained for these two systems.
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