ion keeping the two reacting enantiomers together in a well-
defined six-membered transition complex (Scheme 2; see also
below). Now regioselective nucleophilic ring opening of the
oxirane ring originating from the carbanion leads to the
indicated aziridine intermediate 8. Finally, base-induced ring
opening of the other oxirane ring and aqueous work up
produces the aziridine (rac)-4.
The exclusive formation of the cis configurated aziridine
ring may shed some light on the stereochemical pathway of
the reaction. According to semiempirical PM318 and DFT
calculations (B3LYP/6-31G*), the stereochemistry of the
product observed is in agreement with a six-membered
transition state of the Zimmerman-Traxler type involving a
bridging lithium cation between the two nitrogen atoms.
However, because of the special substitution pattern, a clear
prediction of the resulting stereochemistry after bond forma-
tion on the basis of the distinction of steric demands for
equatorial and axial positions is difficult. To explain the high
heterochiral diastereoselectivity of the reaction, we postulate
an additional chelating by a second lithium cation between
the two oxirane rings, keeping them on the same side of the
developing aziridine ring (Figures 4 and 5). The DFT
Figure 2. DFT optimized structure of anion 6. Selected bond
lengths [Å]: N-C1 1.313, C1-C2 1.411, C2-O 1.476, C2-C3
1
.456, C3-O 1.446; selected bond angles [deg]: N-C1-C2 129.5,
C1-C2-O 123.4, C3-C2-O 59.1 (B3LYP/6-31+G**//B3LYP/
-31+G**).
6
the corresponding lithium compound 6-Li (Figure 3) is quite
similar to that of 6; in monomeric 6-Li lithium is four-
coordinate, bridging carbon, oxygen, and nitrogen. The bond
lengths indicate a little more aza-enolate character (lengthen-
ing of N-C1 and shortening of the C1-C2 bond). The
C2-O bond is considerably longer in comparison to that of
6, as a result of the very strong Li-O interaction. Again,
the most interesting feature of this structure is the highly
pyramidalized four-coordinate carbanionic center (sum of
angles, 309.2°). The product of an inversion at C2 is
calculated to be 0.99 kcal/mol higher in energy than 6-Li.
With regard to the low inversion barrier its concentration in
the reaction mixture is expected to be low.
We assume that this species 6-Li (or aggregates of it)
attacks as a nucleophile a second, enantiomeric molecule of
3
at the imino carbon atom in a highly stereoselective
manner, forming intermediate 7 (Scheme 2) (heterochiral
combination). We describe this type of diastereoselectivity
as mutual kinetic resolution by double diastereofacial selec-
tion, which may well be supported by a bridging lithium
Figure 4. DFT optimized transition structure of the heterochiral
combination, assuming retention of configuration and a second
lithium ion chelating the oxirane rings. Length of the developing
C-C bond: 2.116 Å. (B3LYP/6-31G*//B3LYP/6-31G*).
calculations of such cationic bislithium transition complexes,
starting from the energetically more favorable oxiranyllithium
compound with retention of configuration, reveal an energy
(17) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb,
M. A.; Cheeseman, J. R.; Zakrzewski, V. G.; Montgomery, J. A., Jr.;
Stratmann, R. E.; Burant, J. C.; Dapprich, S.; Millam, J. M.; Daniels, A.
D.; Kudin, K. N.; Strain, M. C.; Farkas, O.; Tomasi, J.; Barone, V.; Cossi,
M.; Cammi, R.; Mennucci, B.; Pomelli, C.; Adamo, C.; Clifford, S.;
Ochterski, J.; Petersson, G. A.; Ayala, P. Y.; Cui, Q.; Morokuma, K.; Malick,
D. K.; Rabuck, A. D.; Raghavachari, K.; Foresman, J. B.; Cioslowski, J.;
Ortiz, J. V.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz, P.; Komaromi,
I.; Gomperts, R.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.;
Peng, C. Y.; Nanayakkara, A.; Gonzalez, C.; Challacombe, M.; Gill, P. M.
W.; Johnson, B. G.; Chen, W.; Wong, M. W.; Andres, J. L.; Head-Gordon,
M.; Replogle, E. S.; Pople, J. A. Gaussian 98, revision A.6; Gaussian,
Inc.: Pittsburgh, PA, 1998.
Figure 3. DFT optimized structure of lithium compound 6-Li.
Selected bond lengths [Å]: Li-N 1.884, Li-C1 2.456, Li-C2
2
.504, Li-O 1.811, N-C1 1.331, C1-C2 1.397, C2-O 1.529,
C2-C3 1.452, C3-O 1.467 (B3LYP/6-31+G**//B3LYP/6-
1+G**).
3
Org. Lett., Vol. 3, No. 10, 2001
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