The
mechanism of the organocatalytic Cope rearrangement is elucidated
through a combined computational and experimental approach. As reported
previously, hydrazides catalyze the Cope rearrangement of 1,5-hexadiene-2-carboxaldehydes
via iminium ion formation, and seven- and eight-membered ring catalysts
are more active than smaller ring sizes. In the present work, quantum
mechanical computations and kinetic isotope effect experiments demonstrate
that the Cope rearrangement step, rather than iminium formation, is
rate-limiting. The computations further explain how the hydrazide
catalyst lowers the free-energy barrier of the Cope rearrangement
via an associative transition state that is stabilized by enehydrazine
character. The computations also explain the catalyst ring size effect,
as larger hydrazide rings are able to accommodate optimal transition-state
geometries that minimize the unfavorable lone-pair repulsion between
neighboring nitrogen atoms and maximize the favorable hyperconjugative
donation from each nitrogen atom into neighboring electron-poor sigma
bonds, with the seven-membered catalyst achieving a nearly ideal transition-state
geometry that is comparable to that of an unconstrained acyclic catalyst.
Experimental kinetics studies support the computations, showing that
the seven-membered and acyclic hydrazide catalysts react 10 times
faster than the six-membered catalyst. Unraveling the mechanism of
this reaction is an important step in understanding other reactions
catalyzed by hydrazides, and explaining the ring size effect is critical
because cyclic catalysts provide a constrained scaffold, enabling
the development of asymmetric variants of these reactions.