C O M M U N I C A T I O N S
kH6
kH6
kH6
ln[(1 + 1 ⁄ R0)(1 - F) ⁄ (1 + 1 ⁄ R)]
ln[(1 + R0)(1 - F) ⁄ (1 + R)]
the pro-R group in the transition state. In the context of the
qualitative transition structure adapted from Brown,11 it is possible
that antiperiplanar donation of the methine C-H bond into the
nascent C-H bond formed by the attacking hydride orients the
prochiral groups such that the pro-S methyl group comes into strong
incidence with the nearby methyl on the isopinocampheyl group.
While such an explanation is satisfying in the context of the familiar
principles of molecular orbital theory and the semiclassical origins
of steric isotope effects, dispersion forces could contribute com-
pensatory normal contributions to the KIE. While this effect is
probably small and may seem counterintuitive in the context of a
condensed phase transition structure, alkanes under moderate
pressure exhibit red-shifts in C-H bond stretches.18 Likewise, the
transfer of cyclohexane from the gas phase to neat liquid lowers
the frequency of both the axial and equatorial C-H stretches by
)
×
)
(2)
(3)
(4)
kD6 kS-D3 kR-D3
kH6
kS-D3 kH6
)
×
kR-D3
k
kD6
ꢀ
R-D3
kH6
kH6 kS-D3
)
(
)(
)
kS-D3
k
kR-D3
ꢀ
D6
The competition reactions between enantiomeric isotopomers
shown in Figure 1A were taken to 78.1, 84.8, and 80.3% conversion.
The unreacted ketone was reisolated using flash chromatography
and desymmetrized using the CBS reduction, which proceeds
cleanly and with very high selectivity (>99% ee).10 This desym-
metrization was chosen in lieu of using DIP-Cl itself because the
CBS reaction is more easily worked up. The desymmetrization
allows for quantification of the relative amounts of S-3 and R-3 in
more than 10 cm-1 19
In fact, isotope-dependent dispersion forces
.
are thought to be responsible for reverse-phase HPLC separations
of the perdeuterated and perprotiated isotopologues of several
molecules.20 Obviously, dispersion forces can affect force constants
and result in a normal (>1) contribution to observed KIEs. What
remains to be quantitatively determined is the relative importance
of steric interactions and dispersion forces.
We have illustrated a simple and powerful new method for
probing symmetry breaking in the transition states of stereoselective
reactions. Computational work is underway to explain the origins
of the isotope effects observed here and in other systems. A new
method is also under development to estimate the relative impor-
tance of dispersion forces and steric occlusion in these measurements.
1
the reisolated starting material by H NMR. The doublets of each
methyl group are easily resolved in the resulting spectrum performed
in CD2Cl2. While these groups relax quickly, a T1 calibration is
performed to ensure that the resonances are fully relaxed between
transients. The assignment of the resonance to each individual
methyl group is performed using chemical shifts computed by the
CSGT16 methodology and the IGAIM17 variation upon a fully
optimized B3LYP/6-31+G(d,p) model of the anticipated11
R
enantiomer of the benzylic alcohol product. NMR chemical shift
predictions showed that the pro-S position is downfield of the pro-R
position in the 1H NMR spectrum, while it is upfield of the pro-R
position in the 13C NMR spectrum. We acquired a HMQC spectrum
upon the product to determine that the diastereotopic positions did,
in fact, switch relative positions in the 1H and 13C spectra as a
partial check on the accuracy of the NMR predictions.
Acknowledgment. We thank the University of California for
funding, Steve Minter for help with Matlab, and Mike Colvin for
the use of his Linux cluster.
The competition reactions between 1 and 2 shown in Figure 1B
were taken to 87.9, 88.0, and 90.6% conversion. The unreacted
ketone was reisolated as above. Reisolated reactant from these
Supporting Information Available: Detailed experimental proce-
dures, derivation of eqs 1 and 2, and tables of integrations from
quantitative NMR measurements.This material is available free of
1
reactions was analyzed using H NMR to determine the relative
amounts of 1 and 2. The methine resonance was used to account
for total ketone present, since its resonance at 3.50 ppm is well-
resolved and unlikely to overlap with any contaminants. The methyl
resonance at 1.18 ppm was used to account for 1. These measure-
ments allowed for an accurate estimate of the ratio of 1 to 2 in the
reisolated ketone, thus yielding R. The same measurement in stock
ketone yields R0.
References
(1) Carter, R. E.; Melander, L. AdV. Phys. Org. Chem. 1973, 10, 1–27.
(2) Schindler, W.; Jonas, J. J. Chem. Phys. 1980, 73, 3547–52.
(3) Farina, V.; Reeves, J. T.; Senanayake, C. H.; Song, J. J. Chem. ReV. 2006,
106, 2734–93.
(4) van Bergen, M.; Gais, H.-J. J. Am. Chem. Soc. 2002, 124, 4321–8.
(5) King, A. O.; Corley, E. G.; Anderson, R. K.; Larsen, R. D.; Verhoeven,
T. R.; Reider, P. J. J. Org. Chem. 1993, 58, 3731–5.
(6) Ramachandran, P. V.; Gong, B.; Brown, H. C. Tetrahedron: Asymmetry
1993, 4, 2399–400.
(7) Thompson, A. S.; Tschaen, D.m.; Simpson, P.; McSwine, D. J.; Reamer,
R. A.; Verhoeven, T. R.; Shinkai, I. J. Org. Chem. 1992, 57, 7044–52.
(8) DeNinno, M. P.; Schoenleber, R.; Asin, K. E.; MacKenzie, R.; Kebabian,
J. W. J. Med. Chem. 1990, 33, 2950–52.
(9) Brown, H. C.; Park, W. S.; Cho, B. T.; Ramachandran, P. V. J. Org. Chem.
1987, 52, 5406–12.
(10) Corey, E. J.; Helal, C. J. Angew. Chem., Int. Ed. 1998, 37, 1986–2012.
(11) Brown, H. C.; Chandrasekharan, J.; Ramachandran, P. V. J. Am. Chem.
Soc. 1988, 110, 1539–46.
The results from the competition reactions are shown in Figure
2. The competition reactions directly yield kS-D3/kR-D3 and kH6/kD6
.
The KIEs upon individual prochiral groups are obtained using eqs
3 and 4. Repulsive steric interactions cause an increase in force
constant, thus further splitting the zero-point energy differences
between C-D and C-H in the transition state, ultimately leading
to an inverse (<1) KIE.1 This appears to explain the inverse nature
of the overall KIE (kH6/kD6 < 1). Similar reasoning suggests that
the pro-S group experiences greater repulsive steric interaction than
(12) Thomas, A. A.; Singleton, D. A. J. Am. Chem. Soc. 1995, 117, 9357.
(13) Li, L.; Lo, M.; Ghanem, M.; Taylor, E. A.; Schramm, V. L. Biochemistry
2008, 47, 2577.
(14) Amin, M.; Price, R. C.; Saunders, W. H., Jr J. Am. Chem. Soc. 1988, 110,
4085.
(15) Bigeleisen, J. J. Chem. Phys. 1955, 23, 2264–67.
(16) Keith, T. A.; Bader, R. F. W. Chem. Phys. Lett. 1992, 194, 1–8.
(17) Keith, T. A.; Bader, R. F. W. Chem. Phys. Lett. 1993, 210, 223–31.
(18) Lee, M.-R.; Ben-Amotz, D. J. Chem. Phys. 1993, 99, 10074.
(19) Remar, G. J.; MacPhail, R. A. J. Chem. Phys. 1995, 103, 4381.
(20) Turowski, M.; Yamakawa, N.; Meller, J.; Kimata, K.; Ikegami, T.; Hosoya,
K.; Tanaka, N.; Thornton, E. R. J. Am. Chem. Soc. 2003, 125, 13836–49.
Figure 2. Relative rate constants computed from competition reactions
and resulting KIEs on enantiotopic methyl groups.
JA8026899
9
J. AM. CHEM. SOC. VOL. 130, NO. 25, 2008 7817