Linear free energy relationships, in heterogeneous catalysis

Mochida, I. and Y. Yoneda, Linear Free Energy Relationships in Heterogeneous Catalysis II. Dealkylation and Isomerization Reactions on Various Solid Acid Catalysts., J. of Catal., 7,393-396,1967. 

Mochida, I. Yoneda, Y., Linear Free Energy Relationships in Heterogeneous Catalysis I. Dealkylation of Alkylbenzenes on Cracking Catalysts, J. Catal, 1967, 7,386-392. 

The phenomenon of compensation is not unique to heterogeneous catalysis it is also seen in homogeneous catalysts, in organic reactions where the solvent is varied and in numerous physical processes such as solid-state diffusion, semiconduction (where it is known as the Meyer-Neldel Rule), and thermionic emission (governed by Richardson s equation ). Indeed it appears that kinetic parameters of any activated process, physical or chemical, are quite liable to exhibit compensation it even applies to the mortality rates of bacteria, as these also obey the Arrhenius equation. It connects with parallel effects in thermodynamics, where entropy and enthalpy terms describing the temperature dependence of equilibrium constants also show compensation. This brings us the area of linear free-energy relationships (LFER), discussion of which is fully covered in the literature, but which need not detain us now. 

Linear free energy relationships (LFERs) are widely used in homogeneous catalysis and frequently in heterogeneous catalysis. These relationships hnk reaction constants k with equilibrium constants K in a series of analogous elementary reactions ... 

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