Polyani equation

J. B. Condon, Equivalency of the Dubinin-Polyani Equations and the QM Based Isotherm Equation Part A. A Mathematical Derivation, Microporous and Mesoporous Materials, 38 (2000) 359 and Part B. Simulation of Heterogeneous Surfaces, ibid, p 377. 

The dissociation energy of the first C—H bond in methane is 33 kcal mole-1 greater than that for the weakest C—H bond in the highly reactive 1,4-cyclohexadiene [13] this is equivalent to a rate factor of 1024 at 25°C. The usual correlation between activation energy and bond dissociation energy or reaction enthalpy is found in the form of the Polyani equation... 

An early attempt to apply an Arrhenius-type equation to a decomposition reaction was by Polyani and Wigner [512] using the expression... 

Several empirical correlations are known for rate constants and activation energies of bimo-lecular radical reactions [1 4], Evans and Polyany [5] were the first to derive the linear correlation between the activation energy and the enthalpy of reaction of R,X with Na. Later Semenov [1] generalized this empirical equation for different free radical reactions in the following form ... 

Roberts and Steel investigated the applicability of an extended Bell-Evans-Polyani relationship to a series of hydrogen abstraction reactions. They developed a correlation equation that incorporated additional terms for electronegativity differences and for radical stabilization effects ... 

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