The interconversion between the “dynamic” trans (C2h)
and cis (C2V) atropisomers, defined as above, requires that
in the transition state an o-alkylphenyl group becomes
coplanar with the central para-substituted phenyl ring. In the
case of 1 this energy has been calculated4 to be 6.7 kcal
mol-1 higher than that of the ground state (Table 1), a value
which should be amenable to an experimental verification.
In Figure 3 a few selected NMR spectra (1H at 600 MHz)
of the aliphatic region of 1 are reported as a function of
temperature. Below -120 °C the methyl signal begins to
broaden and eventually decoalesces into a pair of lines with
a 48:52 intensity ratio at -150 °C,6 making the existence of
cis and trans atropisomers experimentally observable.
From the rate constants derived by line shape simulation,7
the free energy of activation (∆Gq ) 6.8 ( 0.2 kcal mol-1,
as in Table 1) was determined:8 the experimental value is
essentially equal to that predicted by calculations.
When the dimension of o-alkyl substituent R increases,
the measured barriers become progressively higher owing
to the larger steric effects, as anticipated by calculations
(Table 1). Also the population of the more stable atropisomer
increases regularly with the dimension of the substituents
(Table 1).
The tert-butyl group is large enough as to make the
adjacent phenyl rings essentially orthogonal, the dihedral
angle predicted by calculations4 being, in this case, 93°. For
this reason, compound 4 has only two energy minima (rather
than the four minima of 1-3), indicating that the cis and
Figure 2. Representation of the four rotamers of 1 as derived by
ab initio calculations (for convenience only the methyl hydrogens
are reported). The carbons of the para-substituted phenyl group are
green, and those of the o-methylphenyl group are blue when directed
toward the observer and red when away from the observer. The
shape of the two atropisomers (trans on the left and cis on the right)
resulting from the rapid interconversion of the corresponding pair
of rotamers is sketched underneath. On the top is also shown the
structure obtained by X-ray diffraction in the solids, which is very
similar to that of the computed trans-anti rotamer.
(4) (a) Ab initio computations were carried out at the B3LYP/6-31G(d)
level by means of the Gaussian 03 programs4b (the standard Berny algoritm
in redundant internal coordinates, and default criteria of convergence were
employed). Harmonic vibrational frequency were calculated in order to
ascertain the nature of all the stationary points. For each optimized ground
state the frequency analysis showed the absence of imaginary frequencies,
whereas for each transition state the frequency analysis showed a single
imaginary frequency. The corresponding optimised structures are reported
in the Supporting Information. (b) Gaussian 03, Revision C.02: Frisch, M.
J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman,
J. R.; Montgomery, J. A., Jr.; Vreven, T.; Kudin, K. N.; Burant, J. C.;
Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.; Mennucci, B.; Cossi,
M.; Scalmani, G.; Rega, N.; Petersson, G. A.; Nakatsuji, H.; Hada, M.;
Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima,
T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li, X.; Knox, J. E.;
Hratchian, H. P.; Cross, J. B.; Bakken, V.; Adamo, C.; Jaramillo, J.;
Gomperts, R.; Stratmann, R. E.; Yazyev, O.; Austin, A. J.; Cammi, R.;
Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.;
Salvador, P.; Dannenberg, J. J.; Zakrzewski, V. G.; Dapprich, S.; Daniels,
A. D.; Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.;
Raghavachari, K.; Foresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.;
Clifford, S.; Cioslowski, J.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz,
P.; Komaromi, I.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.;
Peng, C. Y.; Nanayakkara, A.; Challacombe, M.; Gill, P. M. W.; Johnson,
B.; Chen, W.; Wong, M. W.; Gonzalez, C.; Pople, J. A. Gaussian, Inc.,
Wallingford, CT, 2004.
(5) Also in the cases of 2 (R ) Et) and 3 (R ) i-Pr) the four rotamers
have essentially the same computed energies, their differences lying within
0.03 and 0.04 kcal mol-1, respectively. The dihedral angles between the
aromatic rings were computed to be 64° for the four rotamers of 2 and 60°
for those of 3.
(6) The samples for obtaining spectra at temperatures lower than -100
°C were prepared by connecting to a vacuum line the NMR tubes containing
the compound and some C6D6 for locking purpose and condensing therein
the gaseous CHF2Cl and CHFCl2 (4:1 v/v) under cooling with liquid
nitrogen. The tubes were subsequently sealed in vacuo and introduced into
the precooled probe of a spectrometer operating at 600 MHz. The
temperatures were calibrated by substituting the sample with a Cu/Ni
thermocouple before the measurements.
these four rotamers, which correspond to the four energy
minima resulting from ab initio computations,4 are displayed
for compound 1 (R ) Me), the mentioned dihedral angles
being 55° for all the rotamers. The corresponding energies
can be considered essentially equal within the computing
approximations because their differences are less than 0.01
kcal mol-1.5
Single-crystal X-ray diffraction shows that the structure
of 1 is of the trans-anti type (Figure 2, top); the measured
dihedral angle of 54.9° matches that anticipated by calcula-
tions (55°). Since this rotamer has essentially the same
computed energy as the other three, the preference for this
structure in the solids should be attributed to a particularly
stable crystal packing.
The barrier for the mutual interconversion between the
trans-syn and trans-anti rotamers (as well as between the cis-
syn and cis-anti) is expected to be very small, since
corresponds to the passage of one o-alkylphenyl group across
the plane perpendicular to that of the central, para-substituted
phenyl ring. Computations4 predict that this barrier is as low
as 0.63 kcal mol-1 in the case of 1 and is therefore too low
to be determined by dynamic NMR measurements. This fast
motion generates, consequently, a dynamic symmetry, so that
the trans atropisomer should display the time averaged
symmetry of the C2h point group: likewise, the cis atropi-
somer has the symmetry of the C2V point group.
(7) PC version of QCPE program no. 633, Indiana University, Bloom-
ington, IN.
1292
Org. Lett., Vol. 7, No. 7, 2005