The extraordinary structure of cyclobutylidene seems to
play an important role for the uncommon preference for the
For 2-hexylcyclobutylidene (2a) with 3.8 kcal/mol (6-
31G*), a similar value was calculated. In contrast, for the
rearrangement of the parent system 2 (R ) H) f 3 (R )
H), 9.1 kcal/mol (cc-pVTZ) is necessary to reach the TS.
Therefore, an alkyl substituent accelerates this rearrangement.
For the cyclopropylcarbene-cyclobutene rearrangement, a
1,2-C over the competing 1,2-H migration. Moreover, for
cyclobutylidene, the triplet-singlet energy gap was calcu-
lated to be 5.9 kcal/mol, with the singlet being the ground
1
4
state.
17
23
Computational Methods. The Spartan 02 program was
used for density functional theory calculations, employing
Becke’s18 three-parameter hybrid method and the exchange
methyl group was observed to have a similar effect. Since
some charge is developed in the TS of the rearrangement,
an alkyl group weakens the breaking bond and stabilizes the
19
23
functional of Lee, Yang, and Parr (B3LYP). The geometry
optimizations of the structures were achieved at the HF/3-
developing charges. The 1,2-H shift of the tertiary hydrogen
atom in 2-methyl-2 (R ) CH
(2a) to give cyclobutene 5 (R ) CH
3
) and 2-hexylcyclobutylidene
) and 5a, respectively,
2
6
1G(*) level.20 Energies were evaluated by using B3LYP/
-31G* single-point calculations. The transition state (TS)
3
at the 6-31G* level requires comparable activation energies
of 2.7 and 3.5 kcal/mol. At the higher level of theory,
however, for 2-methylcyclobutylidene 2 (R ) CH ) an
3
geometries obtained with all methods were verified by
calculation of their harmonic vibrational frequencies. In the
case of the C10
H
18-compounds, the lowest energy conformers
increase to 8.4 kcal/mol was calculated. This is in agreement
with the experimental results from the organometallic reac-
tion of 1a in which no 1-hexylcyclobutene (5a) was formed.
The alternative ring contraction to the alkylmethylenecyclo-
were first determined by a conformational search using the
21
semiempirical AM1 model prior to the geometry optimiza-
tion. Since neither the HF/3-21G(*) nor the B3LYP/6-31G*
geometry calculations gave the nonclassical structure 7
propanes 4 (R ) CH
7.3 and 7.5 kcal/mol (6-31G*), respectively, while for the
rearrangement 2 f 4 (R ) CH ), 10.0 kcal/mol (cc-pVTZ)
3
) and 4a needs an activation energy of
1
5,16
(
Scheme 2) obtained by higher level calculations,
calculations were also performed on 2-methylcyclobutylidene
2) (R ) CH ) as a model system at the 6-311+G** level
and with Dunning’s triple-ú correlation-consistent basis set,
the
3
(
3
are required. These substantially higher energies, when
compared with the activation energies for the rearrangement
2 f 3, explain why 4a was not observed in the organo-
metallic generation of carbene 2a. Moreover, intramolecular
insertion reactions to give bicyclo[2.1.0]pentanes and bicyclo-
[3.2.0]heptanes require activation energies in the range of
about 5 to 6 kcal/mol.
2
2
cc-pVTZ. From Table 2 it is obvious that the energy
Table 2. Energy Values (kcal/mol) Relative to the Carbene
Singlet Ground State for the Transition States
Finally, at the B3LYP/cc-pVTZ level of theory, the triplet
state of methylcyclobutylidene (2a) lies 7.6 kcal/mol above
the singlet ground state. For the ring contraction 3 f 4,
respectively, at first a bond between C1 and C3 has to be
formed leading to the bicyclobutane-like structure 7 (Scheme
2). Next, either the bond between C2 and C3 or C3 and C4
has to break to give 3 and 4, respectively. In our study, the
higher substituted C2-C3 bond is exclusively broken, and
concomitantly the C1-C3 bond is established. No methyl-
enecyclopropane 4 could be observed, where the R group is
attached to the cyclopropane ring. This experimental result
is corroborated by the calculations. Thus, the structure of 2
R )
methyl
R )
methyl
R )
a
b
hexylb
exo-bicyclo[2.1.0]pentane
-R-cyclobutene 6
alkylmethylenecyclopropane 4
endo-bicyclo[2.1.0]pentane
exo-bicyclo[3.2.0]heptane
endo-bicyclo[3.2.0]heptane
14.2
12.2
10
6.3
7.0
7.3
4.3
7.3
7.5
5.9
5.5
4.7
3.5
3.8
0
3
1
-R-cyclobutene 5
8.4
3.2
0
2.7
3.5
0
alkylidenecyclopropane 3
carbene 2
a
B3LYP/cc-pVTZ energies and geometries. b B3LYP/6-31G* single-
point energy calculations at HF/3-21G(*) geometries.
3
(R ) CH ) (Figure 1) at the cc-pVTZ level of theory shows
already a longer C2-C3 bond (1.66 Å) when compared with
the C3-C4 bond (1.59 Å) (Table 3). Moreover, the C1-C2
required for 2 (R ) CH
of the ring contraction reaction to 3 (R ) CH
cc-pVTZ) and 3.5 kcal/mol (6-31G*), respectively, is the
lowest of all competing pathways.
3
) to reach the transition state (TS)
3
) with 3.2
(
(17) Kong, J.; White, C. A.; Krylov, A. I.; Sherrill, C. D.; Adamson, R.
D.; Furlani, T. R.; Lee, M. S.; Lee, A. M.; Gwaltney, S. R.; Adams, T. R.;
Ochsenfeld, C.; Gilbert, A. T. B.; Kedziora, G. S.; Rassolov, V. A.; Maurice,
D. R.; Nair, N.; Shao, Y.; Besley, N. A.; Maslen, P. E.; Dombroski, J. P.;
Daschel, H.; Zhang, W.; Korambath, P. P.; Baker, J.; Byrd, E. F. C.; Van
Voorhis, T.; Oumi, M.; Hirata, S.; Hsu, C.-P.; Ishikawa, N.; Florian, J.;
Warshel, A.; Johnson, B. G.; Gill, P. M. W.; Head-Gordon, M.; Pople, J.
A. J. Comput. Chem. 2000, 21, 1532.
(
(
(
18) Becke, A. D. J. Chem. Phys. 1993, 98, 5648.
19) Lee, C.; Yang, W.; Parr, R. G. Phys. ReV. B 1988, 37, 785.
20) Binkley, J. S.; Pople, J. A.; Hehre, W. J. J. Am. Chem. Soc. 1980,
Figure 1. Structure of 2-methylcyclobutylidene 2 (R ) CH
the transition state 8 that leads to alkylidenecyclopropane 3 (R )
CH ).
3
) and
1
02, 939.
21) Dewar, M. J. S.; Zoebisch, E. G.; Healy, E. F.; Stewart, J. J. P. J.
Am. Chem. Soc. 1985, 107, 3902.
22) Dunning, T. H., Jr. J. Chem. Phys. 1989, 90, 1007.
(
3
(
Org. Lett., Vol. 6, No. 5, 2004
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