Density functional theory (DFT) calculations including configuration interaction (CI) were carried out to
investigate the pathways of the unimolecular isomerizations of pyrrole. Vibrational frequencies calculated
with the DFT method were used to estimate transition-state theory frequency factors. The potentional energy
surface of the overall isomerization of pyrrole is composed of pyrrolenine, two biradical intermediates, and
five transition states, in addition to pyrrole and its stable isomers. The first step of the isomerization is a fast
transition from pyrrole to pyrrolenine. These two species reach a state of equilibrium that is maintained
during the entire process. There is no direct path that leads from pyrrole to its stable isomers, which are
produced only from pyrrolenine. Two biradical intermediates that are very similar in their structure and
energetics and that isomerize to one another by a low-barrier rotation are involved in the process of pyrrole isomerization. One intermediate forms only
cis-crotonitrile, and the other intermediate forms only
vinylacetonitrile. These two biradical intermediates and several transition states have resonance structures.
There is no direct route that leads from pyrrolenine to trans-crotonitrile. The latter is formed from the cis
isomer by cis → trans isomerization. RRKM calculations were carried out to transfer values of A
∞ and E
∞ of
the rate constants of two high-barrier steps in the isomerizations to A and E
corresponding to the experimental
conditions. Kinetic modeling, which uses the calculated rate constants, gives a very good agreement between
the calculated and the experimental yields of the isomerization products.