Angewandte
Chemie
sition structures than in computed reactant structures. In
a series of computed relaxed rotor scans, the rotational
barriers for the pro-R and pro-S methyl groups are indeed
higher in the transition structure than in the reactant (Fig-
ure 2A&B, respectively). By contrast, the rotational barrier
decreases for the 2’-methyl position in going from the
recent report, OꢀLeary et al. used an enthalpy/entropy
decomposition of the computed 2H KIE for the stereo-
inversion of two axially chiral molecules to demonstrate that
2H KIEs that arise from the development of significant
repulsive interactions at the transition state give significant
normal (kH/kD > 1) entropic contributions and inverse (kH/
kD < 1) enthalpic contributions to the KIE.[10] Analogous with
the findings from Dunitz and Ibberson, OꢀLeary et al. found
that entropic contributions to the KIE can outweigh enthalpic
contributions, leading to an overall normal 2H KIE. Enthalpy/
2
entropy analyses of computed H KIEs offer another view
into the origins of the isotope effects measured here. In
accordance with methyl rotational barriers, one might antici-
pate that enthalpy/entropy decompositions of the CH3/CD3
KIEs at the pro-R and pro-S positions give both significant
normal entropic contributions and significant inverse
enthalpic contributions. Results reported in Table 2 demon-
Table 2: Computational decompositions of 2H KIEs into their enthalpic/
entropic contributions.
pro-R[a]
pro-S[a]
2’-Me[a]
5’-Me[a]
Figure 2. Methyl rotation profiles for reactant (black), chair-like transi-
tion structure (red), and boat-like transition structures (blue) corre-
sponding to the A) pro-R, B) pro-S, C) 2’-, and D) 5’-positions.
Experiment
0.965(3)
0.974(3)
0.980(5)
0.995(5)
Chair-like transition structure
DDG°
0.955
0.925
1.032
0.971
0.946
1.026
0.974
0.973
1.001
0.998
0.995
1.002
DDH°
ꢀTDDS°
optimized reactant structure to the transition structure (Fig-
ure 2C). No significant potential energy barrier for rotation
appears to exist in either the reactant or transition structure
for the 5’-methyl group (Figure 2D). This result might be
expected, given the small barriers associated with methyl
rotation in toluene ( ꢁ 14 calmolꢀ1).[7] Intuitively it seems
reasonable to ascribe the origins of the 2H KIEs at the
prochiral methyl groups to steric origins, considering that the
prochiral methyl groups are conjugatively isolated from the
center of the reaction, that is, hyperconjugation effects seem
unlikely. The scans for methyl rotation further suggest that, if
anything, there should be a normal (kH/kD > 1.0) steric
contribution to the 2H KIE at the 2’-methyl position because
steric repulsion appears to be relieved in the transition state
for this position. Therefore, it is most reasonable to expect
that the g-2H KIE at the 2’-methyl position arises largely from
a reduction in hyperconjugation in going from the reactant to
the transition state. This notion is supported by the observa-
Boat-like transition structure
DDG°
0.950
0.920
1.032
0.974
0.957
1.018
0.978
0.978
1.000
1.000
1.000
1.000
DDH°
ꢀTDDS°
[a] 2H KIE (CD3/CH3). [b] Computed at B3LYP/6-31+G(d,p) with an
IEFPCM model for THF solvent, unscaled frequencies, and no tunnel
correction.
strate that this is indeed the case. Compared to the pro-S
methyl group, the pro-R methyl group exhibits larger
(inverse) enthalpic and smaller (normal) entropic contribu-
tions to the KIE. Steric KIEs at the prochiral methyl positions
offer a contrast to the KIE at the 2’-methyl position, which
appears to be largely dominated by an enthalpic contribution.
These two findings suggest a means of assigning the origins of
2
the substantial inverse H KIEs at the pro-R, pro-S, and 2’-
ꢀ
tion that C H bond lengths within the 2’-methyl rotor are
longer in the optimized chair-like and boat-like transition
structures than in the optimized reactant structure.
methyl groups shown in Table 1. In total, these results suggest
that steric 2H KIEs may have enthalpy/entropy contributions
that differ from KIEs arising from stereoelectronic effects
(e.g., hyperconjugation).
The conventional view of steric isotope effects holds that
ꢀ
ꢀ
the C D bond is effectively shorter than the C H bond,
resulting in inverse 2H KIEs for reactions in which steric
repulsion increases at the transition state.[3a,8] A recent report
by Dunitz and Ibberson challenged this view by demonstrat-
ing that the unit cell of C6D6 is smaller than that of C6H6 below
170 K but larger than that of C6H6 above 170 K.[9] They
further posited that the temperature dependence of the
relative size of these isotopologs of benzene was likely due to
low frequency vibrational modes, the contributions of which
become more important at higher temperatures. In another
What is perhaps most striking about the information in
Tables 1 and 2 and Figures 1 and 2 is that chair-like and boat-
like transition structures appear quite similar in all respects.
The structural similarities between these two transition
structures are evident in a maximal overlap superposition
(Figure 3). Though the boat-like transition structure appears
to place the isopropyl substituent (RS) of 1 in a more axially
confined environment than in the chair-like transition struc-
ture, the borane moiety is removed to a position that is
approximately 0.3 ꢁ more distant from the pro-R methyl
Angew. Chem. Int. Ed. 2012, 51, 11890 –11893
ꢀ 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim