Potential energy surfaces for the Walden inversion reaction

A semi-empirical valence bond calculation of potential surfaces for the gas phase reaction between methyl bromide and chloride ion is described. The system is treated in a four participant electron approximation with precautions to include the effects of orthogonalization to the core electrons not involved in bond formation during reaction. The core is taken to include the methyl group as a single fragment whose valence state energy is determined by hybridization at the carbon atom. The qualitative features of the surface are confirmed by a less extensive CNDO calculation.

The lowest potential surface is found to have a central dip, the minimum energy being 0·98 ev below the energy of the reaction products when the C-Cl distance is 3·60 a.u., the C-Br distance 4·11 a.u., and the H-C-Br angle 86°. Analogy with classical two-body scattering suggests that at incident energies of less than 2 ev, the reaction cross section is of the order of 10(1 + 1/E) å ², where E, the initial energy of relative motion, is in ev.