Stacking Interactions between Heterocyclic Aromatic Rings and Substituted-Benzene
TABLE 3. Thermodynamic Parameters Obtained through
served for X ) Me or H and a very small attractive interaction
was observed for X ) F (compounds 8c-8e, Table 3). When
the benzene ring is substituted with an electron-withdrawing
group (such as a CN, compounds 9c-9e, Table 3), a small
favorable enthalpy and favorable entropic interactions were
observed. The CN-substituted benzene derivatives give an
overall attractive interaction comparable to that of the hetero-
cycles. Notwithstanding the different proportions of contribu-
tions from enthalpic and entropic components, the free energy
results appear to be consistent with the concept that a -Nd
group for -Cd substitution in a 6-membered aromatic ring
reduces the electron density from the π-system.24
From the data in Table 3, the pyrimidine ring interacts with
the substituted benzene ring mainly by an enthalpy-driven
process. The entropies for the stacking interactions are all
negative. On the contrary, it is interesting to note that the
stacking interactions between two benzene rings although small
are all favored by entropy effects (compounds 8c-9e, Table
3). The pyridine derivatives are somewhere in between, some
have a positive entropy and others a negative entropy term. Our
interpretation for these differences is solvent effects, i.e., the
stacked conformation between a pyrimidine ring and a benzene
ring, is entropically more disfavored than when the two rings
are separated. This is similar to many host-guest systems where
enthalpy-entropy compensation is often observed.2 On the other
hand, the stacked conformation between two benzene rings is
slightly more entropically favored than when the two rings are
separated. The difference lies in the interactions with the solvent
molecule CDCl3. The stacking interactions in normal benzene
rings appear to be slightly favored by a desolvation entropy.2
1
a
Variable-Temperature H NMR Studies in CDCl3
compd
C1Aryl
X
∆H° c
∆S° d
∆G° c
6a
6b
6c
6d
6e
6f
7a
7b
7c
7d
7e
7f
7g
8c
8d
8e
9cb
9db
9eb
pyrimidine NMe2 -1.34 ( 0.06 -1.5 ( 0.5 -0.91 ( 0.3
pyrimidine OMe -1.08
pyrimidine Me
-1.9
-2.9
-2.6
-2.1
-4.5
-2.0
-0.6
0.6
-1.4
-1.0
0.5
0.7
1.6
-0.52
-0.64
-0.62
-0.64
-0.7
-1.51
-1.38
-1.24
-2.0
pyrimidine
pyrimidine
H
F
pyrimidine Br
pyridine
pyridine
pyridine
pyridine
pyridine
pyridine
pyridine
C6H5
C6H5
C6H5
C6H4CN
C6H4CN
C6H4CN
NMe2 -0.75
OMe -0.60
Me
H
-0.16
-0.43
-0.53
-0.44
-0.40
-0.71
-0.57
-0.03
-0.03
-0.13
-0.46
-0.69
-0.82
-0.34
-0.84
-0.71
-0.58
-0.36
0.44
0.19
0.0
-0.03
-0.04
-0.1
F
Br
NO2
Me
H
0.7
0.4
1.4
2.2
F
Me
H
F
2.4
a∆G° values were calculated at T ) 298 K. The experimental errors are
calculated using linear regression analysis of the data points over the
experimental temperature range.21 b Reference 13. c Units: kcal mol-1
.
d Units: cal mol-1 K-1
.
to serve as control experiments. The experimental errors are
calculated by using linear regression analysis of the data points
over the experimental temperature range.21 In general, the
enthalpy values have much smaller errors than the entropy
values because the former was calculated from the slope and
the latter from the intercept.
All heterocyclic model compounds (6a-7f) studied show
attractive interactions between the C9-substituted aromatic ring
and the C1 heterocycle group. The strongest interaction is
observed between the pyrimidine group and the electron-rich
Me2NC6H4 group (6a, Table 2). Hammett plots did not give a
For aromatic rings without strong electron density-altering
substituents, previous studies have in general supported the
notion that simple electrostatic forces are dominant in arene-
arene stacking interactions.13,25,26 One of the supporting pieces
of evidence is that all arene-arene interactions display similar
substituent effects that gave good correlation in a Hammett plot.
The lack of a general trend in substituent effects in the
heterocycle series indicates that more complex forces are
involved in the heterocycle-benzene stacking interactions.
These forces likely include London dispersion and local dipole-
dipole and donor-acceptor interactions. The normally useful
simplification to treat an aromatic ring as a quadrupolar subject
does not work on these nitrogen-containing heterocycles.27,28
To identify these forces involved, more studies are planned.
One such plan involves the change of the substituent position
on the C9 benzene ring. This could detect the importance of
the directionality of the local dipoles introduced by the
heteroatom. High-level computational studies are also planned
and a partition of the calculated total interaction energy into
relevant components should help to reveal the interplay of
various physical forces in heterocycle-benzene interactions.
good correlation between the substituent constants (σpara or σmeta
)
and the free energies obtained.22 The Hammett σ parameters
are known to not necessarily correlate with the π-electron
density on the aromatic rings. This point has been discussed by
both Dougherty and Sherrill.10,23 While there is hardly any trend
in substituent effects, the electron-rich Me2NC6H4 group is most
attractive with the pyrimidine ring and least attractive with
the pyridine ring (6a and 7a, entries 1 and 7, Table 3). These
observations can be attributed to an attractive donor-acceptor
interaction in 6a and repulsive electrostatic interactions in
7a. In general, in order to have a donor-acceptor type of
interaction, the acceptor must meet a certain threshold in elec-
tron deficiency. Previously we have observed similar types of
donor-acceptor interactions in the corresponding C6F5CO2
derivative.15
The entries 17 to 19 in Table 3 are taken from our previous
study13 and along with compounds 8c-e they serve as control
compounds and provide some illuminating comparisons. When
an unsubstituted benzene ring is in the position of the hetero-
cycle, repulsive enthalpies and favorable entropies were ob-
(24) Albert, A. Heterocyclic Chemistry: an Introduction, 2nd ed.; The
Athlone Press: New York, 1968.
(25) Cozzi, F.; Cinquini, M.; Annuziata, R.; Siegel, J. S. Dominance of
Polar/π over Charge-Transfer Effects in Stacked Phenyl Interactions. J. Am.
Chem. Soc. 1993, 115, 5330-5331.
(26) Cozzi, F.; Cinquini, M.; Annunziata, R.; Dwyer, T.; Siegel, J. S.
“Polar/π Interactions between Stacked Aryls in 1,8-Diarylnaphthalenes. J.
Am. Chem. Soc. 1992, 114, 5729-5733.
(27) Luhmer, M.; Bartik, K.; Dejaegere, A.; Bovy, P.; Reisse, J. The
Importance Of Quadrupolar Interactions In Molecular Recognition Processes
Involving A Phenyl Group. Bull. Soc. Chim. Fr. 1994, 131, 603-606.
(28) Ma, J. C.; Dougherty, D. A. The cation-π interaction. Chem. ReV.
1997, 97, 1303-1324.
(21) Shoemaker, D. P.; Garland, C. W.; Nibler, J. W. Experiments in
Physical Chemistry, 6th ed.; McGraw-Hill: New York, 1996.
(22) Hansch, C.; Leo, A.; Taft, R. W. A Survey of Hammett Substituent
Constants and Resonance and Field Parameters. Chem. ReV. 1991, 91, 165-
195.
(23) Mecozzi, S.; West, A. P.; Dougherty, D. A. “Cation-π interactions
in aromatics of biological and medicinal interest: Electrostatic potential
surfaces as a useful qualitative guide. Proc. Natl. Acad. Sci. U.S.A. 1996,
93, 10566-10571.
J. Org. Chem, Vol. 73, No. 5, 2008 1807