Kost et al.
SCHEME 2. P r oxim ity of r-Hyd r ogen s to th e
if ee were the only conformation present, the R-protons
would be axial and each one would be coupled to two axial
and one equatorial neighbors. The maximum expected
width of this multiplet would be 26.5 Hz, based on the
sum of the three coupling constants, calculated for ideal
180° and 60° dihedral angles and taking into account the
different substitution patterns for each proton [calculated:
Meth yl Gr ou p in 2a a a n d 2eea
3J (HRHR) ) 12.4 Hz, J (HRHâc) ) 2.8 Hz, J (HRHât) )
11.3 Hz; these values are not significantly different for
the sulfur-substituted compound 2f].9 In any other equi-
librium situation the weighted average of ee and a a
conformations would lead to significantly smaller cou-
pling constants. Indeed, in all of the compounds of series
1 the R-proton multiplets are 24.0-25.5 Hz wide, corre-
sponding to nearly exclusive occupation of the ee con-
formation, and thus justifying the assumptions.
3
3
a
NOE expected only in 2ee, between the methyl and the proton
at position 3 to it.
In accord with this analysis, the widths of the R-proton
signals of compounds of series 2 are substantially smaller
(Figure 1), reflecting the much greater proportion of the
a a conformation in these compounds due to the effect of
the methyl group. For the pure a a conformation the three
calculated coupling constants are 2.7-2.8 Hz,9 and hence,
the R-protons should give rise to a quartet of total width
8.2 Hz. The actual spectra for all but one pair of the
compounds (2f and 2′f) feature broad quartets or unre-
solvable multiplets for the R-protons, with a total width
ranging between 13.1 and 14.5 Hz. From these band-
widths (W) the conformational equilibrium can be calcu-
lated using eq 5 (Wee, J ee, Xee correspond to the calculated
width of the quartet, calculated coupling constant, and
mole fraction, respectively, of the ee conformation):
F IGURE 1. The R-proton region of the 200 MHz 1H NMR
spectra of 1b (left) and 2b (right).
ee
ee
W ) J 1 + J 2 + J 3 ) (J 1 + J 2 + J 3ee)Xee
+
is very close to the axial proton cis to it, in position 3
relative to the methyl. Consequently, selective low-power
irradiation at the methyl resonance frequency should
produce a NOE of the R-proton in the 3-position. This is
borne out by NOE difference experiments (shown for
complex 2′b in the Supporting Information). The differ-
ence spectra show significant (4.4% for 2′b) enhancement
of the low-field (5.4 ppm) R-proton resonance, and proves
that the acceptor group in this compound is in the
3-position relative to the methyl. In the corresponding
regioisomer 2b, in which the acceptor is in the 4-position
relative to methyl, the NOE experiment results in a
similar enhancement of the high-field proton R to the
donor group.
This experiment was also run for the other pairs of
isolated regioisomers 2a , 2′a and 2d , 2′d . It was con-
cluded that in the 2 regioisomers the R-H resonances
were the “inner” signals out of the total four (for both
regioisomers), while the 2′ isomers gave rise to the “outer”
signals (see the Supporting Information for sample NMR
spectra).
aa
aa
(J 1 + J 2 + J 3aa)(1 - Xee)
W - Waa
Wee - Waa
Xee
)
(5)
Substitution of the sums of calculated coupling con-
stants in each conformation for Wee and Waa, respectively,
and the measured spectral widths for W in eq 5 results
in a range of Xee ) 0.26-0.34, corresponding to 0.35 <
Keq < 0.52. It is concluded that, on the basis of coupling
constants to the R-protons and on the modified Karplus
equation, in all of the complexes 2 (except 2f) the
population of the uncomplexed conformation (a a ) slightly
exceeds that of the intramolecular CT complex (ee)
conformation. In all of these complexes the width of the
proton signal R to the donor fell within 1 Hz of the width
of the proton signal R to the acceptor. Also, in both
regioisomers (2 and 2′) these widths were equal, within
experimental error.
For the pair 2f, 2′f the width of the R-multiplet (a
(c) Con for m a tion a l An a lysis. The method is based,
as mentioned earlier, on the assumption that the con-
formational equilibrium in series 1 is shifted predomi-
nantly toward the 1ee conformation. Support for this
3
3
doublet of triplets, J (d) ) 3.7 Hz, J (t) ) 6.8 Hz) was
17.3 Hz. Using eq 5 with this value yields Xee ) 0.48,
i.e., Keq ) 1, corresponding to equal populations of the
two conformations.
1
initial expectation is found in the H NMR signals of the
R-protons in series 1. Figure 1 shows the expanded region
1
of the H NMR spectrum for 1b. Each R-proton has three
(9) The modified Karplus data are based on the following: Altona,
C.; Francke, R.; Dehaan, R.; Ippel, J . H.; Daalmans, G. J .; Hoekzema,
A. J . A. W.; Vanwijk, J . Magn. Reson. Chem. 1994, 32, 670, and
references therein. We used a program for calculating 3J values written
by J . W. Blunt, University of Canterbury.
vicinal neighboring protons that are spin-coupled to it.
The magnitudes of the coupling constants depend on the
molecular conformation in a Karplus-type relationship:
6940 J . Org. Chem., Vol. 67, No. 20, 2002