The catalytic power of enzymes containing coenzyme B 12 has been, in some respects, the "last bastion" for the strain hypothesis. Our previous study of this system established by a careful sampling that the major part of the catalytic effect is due to the electrostatic interaction between the ribose of the ado group and the protein and that the strain contribution is very small. This finding has not been sufficiently appreciated due to misunderstandings of the power of the empirical valence bond (EVB) calculations and the need of sufficient sampling. Furthermore, some interesting new experiments point toward entropic effects as the source of the catalytic power, casting doubt on the validity of the electrostatic idea, at least, in the case of B 12 enzymes. Here, we focus on the observation of the entropic effects and on analyzing their origin. We clarify that our EVB approach evaluates free energies rather than enthalpies and demonstrate by using the restraint release (RR) approach that the observed entropic contribution to the activation barrier is of electrostatic origin. Our study illustrates the power of the RR approach by evaluating the entropic contributions to catalysis and provides further support to our paradigm for the origin of the catalytic power of B 12 enzymes. Overall, our study provides major support to our electrostatic preorganization idea and also highlights the basic requirements from ab initio quantum mechanics/molecular mechanics calculations of activation free energies of enzymatic reactions.vitamin B 12 catalysis | entropy calculations | free-energy methods | EVB D espite compelling evidence that electrostatic effects give the largest contributions to enzyme catalysis (e.g., refs. 1-3), some workers still believe that many different effects have been exploited in the evolution of enzyme rate acceleration (e.g., ref. 4). One of the most prominent proposals for nonelectrostatic catalytic effects involves the strain hypothesis (e.g., refs. 4 and 5), where it has been assumed that the enzyme destabilizes the ground state of the reacting system and consequently reduces the activation barrier for the chemical step. Early analyses of the catalytic power of enzymes containing the coenzyme B 12 cofactor (for review, see ref. 6), have provided major support for the strain hypothesis. More specifically, during the reaction of B 12 enzymes, the Co-C bond of B 12 is cleaved, leading to the formation of the 5′-deoxadenosyl radical and Cob(II)alamin, with a subsequent (or concerted) hydrogen transfer to the substrate. Some active sites and a generic free-energy surface for feasible reaction paths are depicted in Figs. 1 and 2, respectively. The rate of the nonenzymatic reaction of the Co-C bond cleavage is more than 10 orders of magnitude slower than the reaction catalyzed by B 12 enzymes (a more quantitative analysis is given in SI Text, section S1). The enormous catalytic effect has originally been assumed to present, what is, perhaps, the best support for the strain idea. This suggestion has emerged ...