In the following Table 1 are collected observed and
predicted exciton couplet amplitudes and helical chirality of
2a-h: it results immediately that the true ACs of compounds
2 can be correctly obtained.
Table 1. Observed and Predicted Helicity of Ketals 2a-h
helicity and
exciton
chirality of the most stable
the most
stable
conformer
predicted
population of
observed
exciton
couplet
amplitude,
A
The main conclusions of this investigation are as follows:
first, the transformation of aliphatic 1,n-diols in the corre-
sponding di(1-naphthyl)ketals guarantees a strong reduction
of the number of conformers; i.e., the ketals exist as 1 or 2
conformers. These compounds present strong chromophoric
groups (the naphthalene rings), and owing to the presence
of the stereogenic centers of the diol moieties, the two
chromophores are twisted with respect to each other, with a
prevailing sense of twist leading to the observation, in the
ECD spectra of ketals 2, of significant couplet effects from
the analysis of which (even to a qualitative level) it is
possible to obtain the AC of the starting diols. Therefore,
conformer and
predicted (De predicted
Voe) A value
compd
AC
(S)-2a
(R,R)-2b
(S)-2c
(R,R)-2d
(R,R)-2e
(R)-2f
-45
+45
-55
M, negative
P, positive
M, negative
P, positive
P, positive
P, positive
M, negative
-
(S)
(R,R)
(S)
(R,R)
(R,R)
(R)
P (58%), +90
-
-
-
-
-
+70
+650
+650
-70
(R)-2g
(R)
(R,R)-2h
-600
M, negative M (100%), -500
(R,R)
geometrical parameters of these structures, the known
1
direction of the B transition dipole moment within the
chromophore, and standard spectroscopic parameters6 for this
transition (λmax 220 nm, D ) 40 D,2 Γ ) 3kK), a positive
couplet (in agreement with experiment but ten times more
intense than the experimental one) has been found. Optimiz-
ing the geometries at the DFT/B3LYP/6-31G* level,12 the
populations become 58% and 42%,13 respectively, and
therefore the weighted average ECD spectrum is still a
positive couplet but with intensity only twice the experi-
mental one, i.e., in good agreement with experiment and with
our previous qualitative predictions. In the case of 2h, the
molecular mechanics calculations provided only one con-
former where the edge-to-face disposition of the benzene
rings with respect to naphthalene groups is clearly present
and where the 1B transition dipoles define a negative chirality
(Figure 6), in total agreement with our qualitative predictions.
The ECD DeVoe calculations provide a negative couplet
having intensity very similar to that experimentally found
(Figure 15 of Supporting Information).
Figure 6. Only conformer of 2h, provided by molecular mechanics
calculations. Edge-to-face disposition of the benzene rings with
respect to the naphthalene ones is evident. The electric dipole
1
moments of the B transition define negative chirality.
we can state that a simple, new method for assigning the AC
of aliphatic diols has been set up. Interestingly, this method
has been tested also with diols where the two functional
groups are well far away (compound 1h); i.e., compounds
diffuse in natural product chemistry, and therefore it can find
several applications in this field. The method is based on
the observation of exciton couplet effects which, in turn, are
a consequence of the prevailing sense of twist of the
naphthalene planes. This represents a new case of helicity
induction in a bichromophoric system, different from those
described previously, because the two chromophores are not
linked directly.
(12) 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 03,
ian.com/.
Acknowledgment. Financial support from MIUR (Roma)
and Universita` della Basilicata is gratefully acknowledged.
The authors are indebted to Professor Daniele Casarini of
our Department for the variable-temperature NMR measure-
ments on 2b.
Supporting Information Available: Experimental data:
NMR, absorption and CD spectra of compounds 2a-h. This
material is available free of charge via the Internet at
(13) These populations have been obtained using the ∆G value of 0.18
kcal/mol, provided by the DFT calculations. With this energy difference,
the populations become 66 and 33% at -133° C, in excellent agreement
with some variable-temperature NMR measurements (see Figure 16 of
Supporting Information). The same analysis provides an energy of activation
for the P/M interconversion of about 9 kcal/mol (see Figure 16 of Supporting
Information).
OL8012149
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Org. Lett., Vol. 10, No. 16, 2008