5688 J . Org. Chem., Vol. 64, No. 15, 1999
Notes
elimination mechanism and (2) proton-catalyzed direct
isomerization as in the case of BF3‚OEt2. If the reaction
goes exclusively by mechanism 2, the high ee value for 4
(80%) cannot be explained, becauase the ee value was
only 60% in BF3-catalyzed isomerization (Table 1). There-
fore, mechanism 2 does not seem to be important, though
it may not be excluded. If oxazine 4 is formed via 6
followed by ring closure (mechanism 1), the ring-closing
step should be accompanied by partial racemization,
because the ring-opening addition reaction of (R)(R)-3
and TsOH proceeded with complete inversion of the
configuration to give a single diastereomer, 6. Heating
of 6 with TsOH in benzene revealed that partial racem-
ization (∼15%) actually took place in the ring-closing
process (Table 3). The fact that the percentage of race-
mization at the ring-closing step is very close to that
observed in the reaction of (R)(R)-3 and TsOH (∼20%,
Table 2) suggests that mechanism 1 is very likely.
It is noted that the ring-closing step of 6 to 4 was
accompanied by partial racemization. This result makes
a marked contrast to the ring closure of the addition
1-Formyl-2-methylazetidine (3b) was used as a model
compound for 3 instead of 1-formylazetidine (3a ). In the
acid-catalyzed isomerization of 1-acyl-2-methylaziridines,
5-methyloxazolines resulting from the cleavage of the
N-CH(CH3) bond are the only2 or main (∼90%)8 product,
and we confirmed in the previous study2 that the
consideration of the substituent effect was essential in
the theoretical elucidation of the reaction mechanism.
Furthermore, it was found in the present study that
6-methyloxazine (from the N-CH(CH3) bond cleavage)
was the only product of isomerization, and no trace of
4-methyloxazine (from the N-CH2 bond cleavage) was
detected by 1H and 19F NMR spectroscopy. Therefore, 3b
should be more appropriate than 3a as the model of the
present study. As mentioned previously,2 calculations at
the MP2/6-31G**//RHF/6-31G* level of theory, using 1a
as a model compound, showed that the protonation at
the N-atom is 1.8 kcal mol-1 more favored than the
protonation at the carbonyl oxygen. In the case of
1-formyl-2-methylazetidine (3b), however, the O-proto-
nated form was found to be more stable than the
N-protonated one by 10.4 kcal mol-1 at the MP2 level.
This suggests that the predominance of 3(OH+) can be
expected in nonpolar solvents such as benzene.
Ab initio MO calculations9 optimized an open-chain
carbocationic intermediate, 3b(OH+,open). This makes a
marked contrast to the case in 1a , where no stable cation
was obtained. The energy level of the intermediate was
shown to be 42.0 kcal mol-1 above the level of 3b(OH+).10
Then, we found two TSs successively. One was the TS
for the ring-opening process of the four-membered ring,
product of 1 and TsOH, 8 to 2,2 where complete inversion
of the configuration took place to give 2 of 100% ee. (The
result was confirmed recently. See the Experimental
Section). This means that although the conversion of 8
to 2 proceeds completely by the SN2 mechanism, the
conversion of 6 to 4 does not go by the SN2 mechanism
exclusively under similar reaction conditions. The reason
for the difference has not been elucidated so far.
3b(OH+,3TS), with an imaginary frequency of 90.0 i cm-1
,
and the other was that for the ring-closing process to form
4b(OH+), 3b(OH+,4TS), with an imaginary frequency
158.9i cm-1. The TS structure11 of 3b(OH+,3TS) was
estimated to be 49.5 kcal mol-1 higher in energy than
3b(OH+), and that of 3b(OH+,4TS) was 43.3 kcal mol-1
higher than the same level, respectively. Results are
shown in Figure 2.
Molecu la r Or bita l Ca lcu la tion s
The ab initio MO calculations were performed by using
the GAUSSIAN94 program6 to obtain stable structures
of the bases and their protonated species and also the
structures of the transition states (TS) and the interme-
diates. The 6-31G* basis sets7 were used to optimize these
geometries. Vibrational frequency calculations were per-
formed for all of the geometries optimized in the present
study.
Con clu sion
The MO calculations using 3b as the model for 3 and
proton showed that O-protonation is much more favorable
than N-protonation. This might give support for the
O-coordination of BF3 from the energetic viewpoint. The
lengthening of the O-CH(CH3) distance on going from
the initial state to the transition state was shown to be
as follows: 2.902 Å for 3b(OH+) and 3.094 Å for 3b(OH+,
3TS), as shown in Figure 1. In contrast, the O-CH(CH3)
length was shown to be shortened in the case with 1a ,
from 2.876 Å in 1a (NH+) to 2.629 Å in 1a (NH+,TS).2
These results give support for the discussion on the
adverse effects of the O-coordination toward the SNi
process.
It was ascertained in a previous paper2 that 1-acyl-
aziridines isomerize to oxazolines by the SNi mechanism.
In contrast, the experimental results mentioned above
suggest that the isomerization of 1-acylazetidines to
oxazines does not proceed by the SNi mechanism but by
an SN1 mechanism under similar reaction conditions as
in 1. Here, mention is made of the elucidation of the
isomerization mechanism from the theoretical point of
view, forcusing our attention on the comparison of the
result with that obtained in 1-formylaziridine, 1a .
(8) Nishiguchi, T.; Tochio, H.; Nabeya, A.; Iwakura, Y. J . Am. Chem.
Soc. 1969, 91, 5841.
(9) Prior to ab initio MO calculations, we performed semiempirical
MO calculations (PM3, MOPAC Ver. 93; Stewart, J . J . P. Fujitsu
Ltd.: Tokyo, J apan, 1993) in search of the intermediate and the TSs
and used them as the initial geometries for the ab initio MO
calculations.
(10) For estimating free energy differences in the gas phase at 298
K, 1 atm, we used energies at the MP2/6-31G**//RHF/6-31G* level of
theory and those from the vibration frequency of the RHF/6-31G*
calculations without scale factor.
(11) Calculations using TSs obtained gave few geometries along the
IRC [(a) Fukui, K. Acc. Chem. Res. 1981, 14, 363. (b) Head-Gordon,
M.; Pople, J . A. J . Chem. Phys. 1988, 89, 5777.], probably because the
potential surfaces around these TSs are very flat.
(6) GAUSSIAN94; Frisch, M. J .; Trucks, G. W.; Schlegel, H. B.; Gill,
P. M. W.; J ohnson, B. G.; Robb, M. A.; Cheeseman, J . R.; Keith, T.;
Petersson, G. A.; Montgomery, J . A.; Raghavachari, K.; Al-Laham, M.
A.; Zakrzewski, V. G.; Ortiz, J . V.; Foresman, J . B.; Cioslowski, J .;
Stefanov, B. B.; Nanayakkara, A.; Challacombe, M.; Peng, C. Y.; Ayala,
P. Y.; Chen, W.; Wong, M. W.; Andres, J . L.; Replogle, E. S.; Gomperts,
R.; Martin, R. L.; Fox, D. J .; Binkley, J . S.; Defrees, D. J .; Baker, J .;
Stewart, J . P.; Head-Gordon, M.; Gonzalez, C.; Pople, J . A., Gaussian
Inc., Pittsburgh, PA, 1995.
(7) Hehre, W. J .; Ditchfield, R.; Pople, J . A. J . Chem. Phys. 1972,
56, 2257.