1170
S. Linder et al. / Tetrahedron Letters 43 (2002) 1169–1170
Scheme 3.
bonꢀoxygen bond. The observed positional dependence
of reactivity caused us to suspect that van der Waals
repulsions between the substituents on the oxirane moi-
ety with the ortho aryl hydrogens were preventing the
necessary orbital alignment for charge density transfer
into the antibonding orbitals of the benzylic car-
bonꢀoxygen bond. We examined the calculated energy
profile compounds 1, 5, 9, and 10 as a function of
rotation about the phenylꢀoxirane bond using HF/3-
21G(*) optimized geometries with the dihedral (q) to
five (5) degree increments. This is outlined in Fig. 1.
Figure 1. Energy profile HF/3-21G(*).
Compounds 16 and 56 display virtually identical profiles
with moderately restricted rotation (barrier:5.7 and
6.0 kcal/mol, respectively) as expected because of the
geometric isolation of the trans-beta position from the
aryl group. This finding agrees well with the similar
photochemical reactivity observed for 1
6 and 56 . Com-
pounds 9 and 10 exhibited significantly greater barriers
6
to rotation (9.8 and 10.2 kcal/mol, respectively) reflect-
ing the greater interaction of the cis-beta substituents
with the ortho aryl hydrogens. Just as important as the
increased height of the barrier is its position from
q:50–120°, which is the most critical range for effec-
tive electronic interaction with the excited aryl p sys-
tem. Conformations in this range are approaching a
potential energy maximum and should expectedly pos-
sess low residence times.
Figure 2. Normalized population distribution.
Acknowledgements
Support for this work by the Robert A. Welch Founda-
tion and the SHSU Faculty Research Enhancement
Council is gratefully acknowledged.
Calculation of a population distribution graph of the
fraction of molecules (logarithmic scale) with sufficient
internal energy versus dihedral angle clearly illustrates
the drastic reduction (as much as 10−3) in the fraction
of energetically viable molecules in the region of great-
est probability of reaction. These calculated results
strongly suggest a dramatic decrease in the expected
photochemical reactivity of the benzylic oxirane ring in
the presence of a cis-beta substituent, which is clearly
expressed in the observed photo-inactivity of com-
pound 10 (Fig. 2).
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