This paper is dedicated to Professor Ross Stewart on the occasion of his 65th birthday J. PETER GUTHRIE. Can. J. Chem. 68, 1643 (1990). An analytical expression for the two-dimensional reaction surface appropriate for discussing a concerted reaction has been derived for the quartic approximation to a reaction coordinate, and shown to be consistent with Marcus theory. By analysis of literature data for SN1 solvolyses and carbanion formation we have been able to reproduce the qualitative behavior of eliminations involving tBuBr, iPrBr, and EtBr in EtOH/EtO-, and to predict the rates of these reactions within the uncertainties of the input data.
IntroductionWe have recently reported an equation for the energy surface for the situation where two reaction progress variables are required to describe a reaction ( 1 ) . The equation, which was a generalization of the inverted parabola model for the reaction coordinate of a simple reaction, was shown to be consistent with Marcus theory (2-4) for the edge reactions. It provides a basis for predicting when a reaction will be concerted and when it will be stepwise in terms of the thermodynamics and intrinsic barriers of the edge reactions. A logical consequence of the simple theory used is that the intrinsic barriers are the same for each pair of parallel edge reactions.There has been considerable interest in the use of various energy surfaces to analyze concerted reactions ( 1 , 5-18). We wish now to report that, using information from the literature, it is possible to predict which of a set of simple P-elimination reactions are concerted, and to make semiquantitative predictions of the rate constants, with no adjustable parameters.We ( 8 ) and others (19,20) have discussed the advantages of a quartic equation as an approximation to a reaction coordinate diagram, since it has the correct shape at the extrema. We have now devised an analogous equation with two reaction coordinate dimensions, which provides the simplest generalized surface in the quartic approximation with the correct behavior for the edge reactions, and which satisfies Marcus theory for all sections through it.