4601
References
1. Terasawa, T.; Okada, T. J. Chem. Soc., Perkin Trans. 1 1978, 1252.
2. Jochims, J. C.; Kobayashi, Y. M.; Skrzelewski, E. Tetrahedron Lett. 1974, 571. Kobayashi, Y. M.; Lambrecht, J.;
Jochims, J. C.; Burkert, U. Chem. Ber. 1978, 111, 3442.
3. Cieplak, A. S. J. Am. Chem. Soc. 1981, 103, 4540.
4. Tomoda, S. Chem. Rev. 1999, 99, 1243.
5. Tomoda, S.; Senju, T. Tetrahedron 1999, 55, 3871; Tomoda, S.; Senju, T. Tetrahedron 1999, 55, 5303. Tomoda, S.;
Senju, T. Chem. Lett. 1999, 625. Tomoda, S.; Senju, T. Chem. Lett. 1999, 353. Tomoda, S.; Senju, T.; Kawamura,
M.; Ikeda, T. J. Org. Chem. 1999, 64, 5396.
6. Tomoda, S.; Kaneno, D.; Senju, T. Chem. Lett. 1999, 1115.
7. Cherest, M.; Felkin, H. Tetrahedron Lett. 1968, 2205. Eisenstein, O.; Lefour, J.-M.; Tran Huu Dau, M. E. J. Am.
Chem. Soc. 1976, 95, 6146; Anh, N. T. Top. Curr. Chem. 1980, 88, 145.
8. Gaussian 94 (Revision D.1 and E.2); Gaussian, Inc., Pittsburgh, PA, 1997.
9. Huzinaga, S. Gaussian Basis Sets for Molecular Calculations; Elsevier: Amsterdam, 1984.
10. Klopman, G. J. Am. Chem. Soc. 1968, 90, 223; Salem, L. J. Am. Chem. Soc. 1968, 90, 543. Frontier Orbitals and
Organic Chemical Reactions; Fleming, I., Ed.; John Wiley & Sons: London, 1977.
11. PDAS (expressed in au; atomic unit=0.529 angstrom) is de®ned as the p-plane-divided exterior space nearest to
the carbonyl carbon. Integration is carried out up to 5.0 au from the van der Waals surface of the molecule.
Tomoda, S.; Senju, T. Chem. Commun. 1999, 621.
12. EFOE density is de®ned as the p-plane-divided exterior electron density of the frontier orbital (FMO; in the
present case p*CO) integrated over the subspace ꢀ satisfying the following condition: the absolute total value of
the wave functions belonging to the carbonyl carbon makes a maximum contribution to the total value of the
FMO wave function at the point so that the driving force vector on hydride is maximally directed toward the
reaction center. The values of the EFOE density are expressed in percentages by normalizing the FMO wave
function (ÉFMO) to 100:
EFOE density (%)=100Â É2FMO dꢀ
Tomoda, S.; Senju, T. Tetrahedron 1997, 53, 9057.
13. Segi, M.; Koyama, T.; Nakajima, T.; Suga, S. Tetrahedron Lett. 1989, 30, 2095. Segi, M.; Yamamoto, H.; Hori,
T.; Nakajima, T. Phosphorus, Sulfur, Silicon and Related Elem. 1998, 136±138, 599.
14. Stereochemical assignments were made by the chemical shift of the axial proton at C2 (equatorial alcohol: ꢀ=4.21,
axial alcohol: ꢀ=4.60 for 1b, and equatorial alcohol: ꢀ=2.71, axial alcohol: ꢀ=2.79 for 2b).
15. Total electronic energy (E), imaginary frequency (ꢁi), and incipient bond distance (d) for the transition states
calculated with Gaussian 9411 at the B3LYP/6-31G(d) level; 1a: ax-TS; E=^2922.449418 au, ꢁi=^351.6 cm^1,
d=1.523 A: eq-TS; E=^2922.448321 au, ꢁi=^380.0 cm^1, d=1.584 A; 2a: ax-TS; E=^2922.446505 au, ꢁi=^369.1
cm^1, d=1.692 A: eq-TS; E=^2922.448385 au, ꢁi=^221.5 cm^1, d=1.641 A.
16. Percent bond elongation (%BE)=(Ár/rS)1100, where Ár=the dierence in the bond lengths between the vicinal
antiperiplanar bond in the transition state (rTS) and the corresponding bond of starting ketone (rS); Ár=rTS±rS.
17. Reed, A. E.; Curtiss, L. A.; Weinhold, F. Chem. Rev. 1988, 88, 899. A negative ÁBP indicates reduction in the
bond population of the antiperiplanar bond in the transition state.
18. Tomoda, S.; Senju, T. Chem. Commun. 1999, 423.