Ethylmethylcarbene (1), cyclobutylidene (2),
2-norbornylidene (3), and 2-bicyclo[2.1.1]-hexylidene
(4)
and the transition states that correspond to 1,2-H-migration,
1,3-H-migration, and 1,2-C-migration were optimized
at BHandHLYP/DZP, MP2/DZP, and CCSD(T)/DZP levels of theory.
The 1,2-H-migration of 1 to 2-butene has a
theoretically derived barrier of 5.2 kcal/mol at CCSD(T)/DZP.
The 1,2-H-shift that leads to 1-butene has a
ΔG
⧧ of
8.5 kcal/mol, 1,3-H-migration of 8.3 kcal/mol and 1,2-C-migration of
18.1 kcal/mol. For 2 ΔG
⧧ for
1,2-C-migration
is only 10.5 kcal/mol, which is 7.6 kcal/mol less than for
1. This lowering of the barrier for rearrangment
of
cyclobutylidene is attributed to the similarity between the TS and
singlet 2 which prefers a nonclassical
structure.
The barrier for 1,2-H-migration for 2 is 9.7 kcal/mol
due to H repulsion in the TS. For 3 the process with
the lowest
barrier (5.2 kcal/mol, BHandHLYP/DZP) is a 1,3-H-shift that leads to
nortricyclene. The preference for this
rearrangement can again be explained by the similarity between the
carbene geometry and that of the corresponding
TS that leads to the nortricyclene. For the rearrangement of
4, which also resembles the TS for 1,3-H-migration,
the
corresponding TS has a ΔG
⧧ of 22.6 kcal/mol
(BHandHLYP/DZP). The reason for this diverging behavior is
the
large amount of ring strain present in the TS for 1,3-H-migration of
4. As a consequence, 4 is a long-lived,
trappable
carbene that rearranges slowly to form
bicyclo[2.1.1]hex-2-ene (ΔG
⧧ =
16.2 kcal/mol), while 3 can not be trapped
with pyridine.