Harmonious optimum conditions for heterogeneous catalytic reactions derived analytically with Polanyi relation and Bronsted relation

Abstract

Inherent nature of a heterogeneous catalytic reaction system represented by a correlation between kinetics and thermodynamics is revealed as harmonious coordination of the correlation parameter and the binding state of a key adsorbate when the system is at the optimum condition with maximum reaction rate. This interpretation comes from the newly obtained common results in different reaction settings and conveys the essence of the catalytic reaction. Pioneering work by Michel Boudart in 1968 based on Polanyi and Bronsted relations was a key guidance to an extended development by the present author in 1988. And now further advancement has been made and it leads us to conclude that if the reaction system follows such a correlation, there is a systematic framework acting to orchestrate the best reaction performance. This framework is an intrinsic part of catalysis. In consequence, a new definition is suggested for the extended Sabatier’s principle. The efficacy and profundity of analytical mathematics approach appear in the key equations as they disclose the fundamental nature of catalytic reactions. The optimum in catalysis is a delicately controlled state made possible by an essential balance between kinetics and thermodynamics.