The [4 + 4] photocycloaddition of butadiene + butadiene has
been studied at the CASSCF /4-31G level,
as a prototype for a class of photochromic systems. For this model
system, minima and transition structures are
characterized by analytic frequency calculations, and conical
intersections are located. Our results indicate that
the
standard model for the [4 + 4] addition (based on H4)
needs to be revised. The reorganization of all 8π
electrons
is crucial (i.e., it is not always the same 4π electrons that are
important). Efficient nonradiative decay of butadiene
+ butadiene can be explained by the presence of two distinct
S
1/S
0 conical
intersections. The first-the lowest-energy point on S
1 overall-is preceded by a
barrier for the formation of a new σ bond. The resulting
structure is
similar to those previously characterized for methyl migration in
but-1-ene and the addition of ethylene to benzene.
A higher-energy barrier leads to a second crossing which resembles
the rhomboidal funnel for the [2 + 2] addition
of ethylene + ethylene, but which involves only one double bond from
each butadiene. Both reaction paths commence
at a true pericyclic minimum, at which the
(S
0−S
1) energy gap of
∼37 kcal mol-1 prohibits
decay.