two unequivalent protons (aH1 = 1.016, aH2 = 1.243 mT). At
this temperature the observed b-proton splittings are averaged
over the residence times in each conformation indicating that
the rotation about the N–Ca bond is fast on the EPR time scale,
although the broadening of the MI(2H) = 0 lines suggests that
the rate of conformational interconversion is not fast enough to
reach the motional narrowing limit. By lowering the tem-
perature to 20 °C, the latter lines became too broad to be
detected (Fig. 1b) and only the sum of the b-H splittings could
be measured. (aN = 1.539, aH1+aH2 = 2.251 mT, g = 2.0060).
At 276 °C new lines, corresponding to two distinct para-
magnetic rotamers, appeared in the spectrum (Fig. 1c), this
indicating that the rotation about the N–Ca bond is slow on the
EPR time scale at this temperature. Simulation of the latter
spectrum (Fig. 1d) provided the values of both the hyperfine
splitting constants and relative amounts of the frozen rotamers
(see Scheme 1).5
The measured data, reported in Scheme 1 show that in both
rotamers the b-proton splittings are almost identical, one being
large and the other close to zero. On the basis of the b-proton
splitting dependence on the dihedral angle q between the
symmetry axes of the 2pz orbital containing the unpaired
electron and the N–C–H plane, predicted by the well-known
Heller-McConnell equation,6 it can be inferred that the
minimum energy conformations of the radical are those where
one of the methylene C–H bond makes an angle of ca. 30° with
the 2pz orbital on nitrogen and the other is almost eclipsed by
the tert-butyl group (see Scheme 1).
By simulating the experimental EPR spectra at different
temperatures by using well-established procedures7 based on
the density matrix theory,8 we could determine the activaction
parameters for the N–Ca bond rotation as DS‡ = 0.60 0.25
e.u. DH‡ = 5.97 0.08 kcal mol21 and DS‡ = 0.41 0.20 e.u.
DH# = 6.11 0.07 kcal mol21 (see ESI†). These values give a
free energy difference of 0.2 kcal mol21 and a population ratio
of 1.41 for the two rotamers at 20 °C.
Given the similarity of the b-proton splittings of the two
rotamers, the main factor determining the magnetic non-
equivalence of these splitting is the free energy difference of the
two conformations with the intrinsic term being responsible for
9
only 18% of the observed value of DaHb
.
In conclusion, it has been demonstrated, for the first time, that
the observed magnetic non-equivalence of diastereomeric
protons in the EPR spectra of chiral radicals mainly arise from
the population difference of the various conformations. It
should be pointed out that the optical pure nitroxide 3b
represents a suitable probe to investigate the effect of chiral
perturbations on the conformational equilibrium of a radical
containing a chiral centre. This can be important in determining
the factors giving rise to preferential stabilisation of a given
conformation and, consequently, to stereoselective reactions of
acyclic radicals.10
Financial support by the University of Bologna, MURST, and
CNR (Rome) is gratefully acknowledged. We thank Dr E.
Mezzina for helpful discussions.
Notes and references
1 B. C. Gilbert and M. Trenwith, J. Chem. Soc., Perkin Trans. 2, 1973,
1834.
2 B. C. Gilbert, J. P. Larkin and R. O. C. Norman, J. Chem. Soc., Perkin
Trans. 2, 1971, 1272.
3 See, for example:(a) G. Lagercrantz and M. Setaka, Acta Chem. Scand.
B, 1974, 28, 619; (b) C. C. Felix and R. C. Sealy, J. Am. Chem. Soc.,
1981, 103, 2831; F. Moriya, K. Makino, N. Suzuki, S. Rokushika and H.
Hatano, J. Am. Chem. Soc., 1982, 104, 830; (c) S. Brumby, J. Phys.
Chem., 1983, 87, 1917; (d) Y. Zhang and G. Xu, Magn. Reson. Chem.,
1989, 27, 846; (e) P. Smith, W. H. Donovan, C. E. Mader, L. M.
Dominguez and W. T. Koscielniak, Magn. Reson. Chem., 1995, 33,
395.
4 Actually, only the two rotamers with the chiral substituent avoiding the
tert-butyl group have been detected in radical 3b (vide infra).
5 The same EPR spectra were observed by using the (R) or the (S)
enantiomer of 3b, as expected.
6 C. Heller and H. M. McConnell, J. Chem. Phys., 1960, 32, 1535.
7 (a) J. H. Freed and G. K. Fraenkel, J. Chem. Phys., 1963, 39, 326; (b) A.
Hudson and G. R. Luckhurst, Chem. Rev., 1969, 69, 191.
8 P. Franchi, M. Lucarini, G. F. Pedulli and D. Sciotto, Angew. Chem., Int.
Ed., 2000, 39, 263.
9 If the energies of the two rotamers were identical, the values of aH1 and
aH2 would be 1.086 and 1.127 mT (DaHb = 0.041 mT) in the averaged
spectrum.
Fig. 1 EPR spectra of (R)-3b recorded in toluene at 95 °C (a), 20 °C (b), 276
°C (c) and computer simulation of the latter one (d).
10 D. P. Curran, N. A. Porter and B. Giese Stereochemistry of Radical
Reactions, VCH, Weinheim, 1996.
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