The naphthylcarbene potential energy surface (PES) was examined
ab initio, employing self-consistent
field (SCF), second-order perturbation theory (MP2), and density
functional (Becke3LYP) methods in conjunction
with 6-31G*, DZ, DZP, and 6-311+G* basis sets. All stationary
structures were characterized by vibrational frequency
analyses at the Becke3LYP/6-31G* level; final energies were evaluated
at the Becke3LYP/6-311+G*//Becke3LYP/6-31G* + ZPVE level.
Cyclobuta[de]naphthalene is the global
minimum on this part of the C11H8 PES.
Generally,
seven-membered benzocarbenes are no minima as they converge to their
corresponding allenes. Both 1- and
2-naphthylcarbene have triplet ground states, but the small S−T gaps
(ca. 5 kcal mol-1) allow facile
rearrangements
in the singlet manifold to take place. The triplet rotational
barrier for the exo-methylene in 2-naphthylcarbene
is
relatively small (3.5 kcal mol-1) due to weak
π-bonding. At low temperatures, singlet 2-naphthylcarbene
equilibrates
with 2,3-benzobicyclo[4.1.0]hepta-2,4,6-triene and
bicycloheptatetra-1,3,5,7-ene, but not with
4,5-benzocycloheptatrienylidene which is not a minimum; rearrangement to singlet
1-naphthylcarbene occurs only at higher temperatures
via bicycloheptatetra-1,2,4,6-ene, the second lowest minimum. As
the rearrangement barriers from 1- and
2-naphthylcarbene to bicycloheptatetra-1,2,4,6-ene are of similar
magnitude (ΔΔE
⧧ = 1.9 kcal
mol-1), the latter
species may be observed in small quantities only. The allenes
bicycloheptatetra-1,2,4,6-ene, bicycloheptatetra-1,3,5,7-ene, and bicycloheptatetra-2,3,5,7-ene are thermodynamically
remarkably stable and should be observable at
low temperatures.