A theoretical investigation of alpha-carbon kinetic isotope effects and their relationship to the transition-state structure of S(N)2 reactions.

[reaction: see text] The transition structures and alpha-carbon 12C/13C kinetic isotope effects for 22 S(N)2 reactions between methyl chloride and a wide variety of nucleophiles have been calculated using the B1LYP/aug-cc-pVDZ level of theory. Anionic, neutral, and radical anion nucleophiles were used to give a wide range of S(N)2 transition states so the relationship between the magnitude of the alpha-carbon kinetic isotope effect and transition-state structure could be determined. The results suggest that the alpha-carbon 12C/13C kinetic isotope effects for S(N)2 reactions will be large (near the experimental maximum) and that the curve relating the magnitude of the KIE to the percent transfer of the alpha-carbon from the nucleophile to the leaving group in the transition state has a broad maximum. This means very similar KIEs will be found for early, symmetric, and late transition states and that one cannot use the magnitude of these KIEs to estimate transition-state structure.

Theoretical evaluation of the hydrogen kinetic isotope effect on the first step of the methylmalonyl-CoA mutase reaction.

We have calculated hydrogen kinetic isotope effects (KIEs) for the first step of the methylmalonyl-CoA mutase reaction, including multidimensional tunneling correction at the zero curvature (ZCT) level, and compared them with the experimental values. Both alternative mechanisms of this step, concerted and stepwise, can be accommodated. It turned out to be essential to include Arg207 hydrogen-bonded to the reactant in the mechanism predicting simultaneous breaking of the Co-C bond of AdoCbl and hydrogen atom transfer. The consequence of the stepwise mechanism is a much larger facilitation of the homolytic dissociation of the carbon-cobalt bond by the enzyme than currently appreciated; our results suggest lowering of the activation energy by about 23 kcal mol(-1). We have also shown that large hydrogen KIEs of tunneling origin do not necessarily break the Swain-Schaad equation. Furthermore, when this equation does not hold, the exponent may be smaller in the presence of tunneling than it is at the semi-classical limit, indicating that nonclassical behavior may be a more common phenomenon than expected.