Evidently, the boat formation of QQ should not be
attributed to the t-Bu substituent, since the quinone ring of
Q was not distorted (Figure 1a). Detailed examination of
the X-ray structure of QQ revealed short intramolecular
contact between the oxygen atoms (O1 and O1′), with an
interatomic distance of 2.912(3) Å. This is considerably
smaller than the sum of van der Waals radii of two oxygen
robiphenyl (ClBP). The energy differences of QQ′ were even
smaller than the corresponding ones of ClBP, and were
similar to those of FBP. This was probably due to differences
in their van der Waals radii (F, 1.47 Å; O, 1.52 Å; Cl, 1.75
1
2
Å) and covalent bond lengths (C-F, 1.34 Å; CdO, 1.21
Å; C-Cl, 1.73 Å). QQ′ has two energy minima at 62° and
135°. Double energy minima were also seen in FBP (57°
and 129°), while ClBP had only one energy minimum (90°).
It is noteworthy that, in comparison of the energy minima
of QQ′, E62° (syn conformer) is lower than E135° (anti
1
2
atoms (3.04 Å), and thus can be deemed responsible for
the distortion. The short contact between the oxygen atoms
may simply be attributed to packing demand. However, to
investigate other factors, MO calculations were performed
at the B3LYP/6-311+G(d,p) and HF/6-31G(d) levels. The
former method was applied to obtain the optimized geometry
of syn and anti conformers of the unsubstituted quinone
dimer (QQ′) as a model compound. The quinone moiety was
essentially planar and φ was found to be 137.1° in the
optimized anti conformer. Conversely the boat-shaped quino-
ne was reproduced in the syn conformer (φ was fixed at 37.7°
based on the X-ray structure), where the oxygen-oxygen
-
1
conformer) by 1.48 kcal mol . A preference for the syn
conformer was found via MO calculations, as well as in
electron diffraction studies of FBP and ClBP. This suggested
the existence of a particular interaction between the halogen
atoms. Similarly, this result implies that an oxygen-oxygen
interaction may well exist in the quinone dimer, which may
have been responsible for the syn conformation found in
X-ray structure analysis of QQ. The presence of an oxygen-
oxygen interaction was also supported by the result of the
B3LYP/6-311+G(d,p) calculation. Despite the short contact
between oxygen atoms and the distortion of the quinone
moiety, the energetic disadvantage of the syn conformer was
unexpectedly small. Conclusively, the boat shape observed
in the X-ray crystal of QQ must have been due to the short
contact between the adjacent oxygen atoms, which probably
arose from the packing demand, and/or plausible oxygen-
oxygen interaction. Although it was anticipated that X-ray
-
1
distance was 2.93 Å. It was noted that, at 1.07 kcal mol ,
the energy difference was rather small, despite the large
distortion observed in the syn conformer. This result, and
the fact that distortion of the quinone ring into a boat shape
10
is also observed in the naphthoquinone dimer, may indicate
that the quinone ring substituted by a quinone moiety is
considerably prone to distortion.
On the other hand, an HF/6-31G(d) calculation was used
to estimate the rotational barrier of QQ′, where φ was varied
between 0° (coplanar cis), 45°, 90°, 135°, and 180° (coplanar
trans). It is recognized as difficult to accurately reproduce
the experimental data of biaryl rotational barriers by MO
p
m
analysis of QQ Q and QQ Q would give further information
p
m
on this issue, good QQ Q and QQ Q crystals were not
obtained, despite our best efforts.
Electronic absorption spectra (1,4-dioxane) of Q, QQ,
1
3
p
m
methods. Nevertheless, this method was used, as it was
considered worthwhile to obtain a comparison of results by
identical calculation methods. The energy differences found
QQ Q, and QQ Q are shown in Figure 2. When the number
Table 1. Energy Differences (E
and ClBP at Dihedral Angles φ of 0°, 45°, 90°, 135°, and 180°,
φ
, in kcal mol-1) for QQ′, FBP,
Relative to the Energy at the Optimal Dihedral Angle φopt
Given at the Bottoma
,
f
QQ′
FBPb
12.64
0.90
1.03
0.31
6.12
ClBPb
0
4
9
1
1
10.49
46.46
9.75
0.00
4.64
22.74
5
0
35
80
0.76
1.28
1.48
4.83
φopt
62.16/134.95
57.13/128.82
89.66
a
HF/6-31G(d) calculation. b Reference 13.
Figure 2. Electronic absorption spectra of Q (dotted), QQ (broken),
QQ Q (dash-dotted), and QQ Q (solid) in 1,4-dioxane.
are shown in Table 1, accompanied by values obtained
previously for 2,2′-difluorobiphenyl (FBP) and 2,2′-dichlo-
p
m
(
11) As seen in the X-ray structure of polymorphs of substituted bipyrrole,
of quinone moieties increased, molar absorption coefficients
(ꢀ) also increased, although wavelengths of maximum
the bond length linking two π moieties is sensitively altered depending on
the dihedral angle: the pyrrole-pyrrole bond length of the anti conformer,
where the dihedral angle φ ) 180°, is 1.4362(17) Å, whereas that of the
syn conformer, where φ ) 40°, is 1.4490(16) Å (Merz, A.; Kronberger, J.;
Dunsch, L.; Neudeck, A.; Petr, A.; Parkanyi, L. Angew. Chem., Int. Ed.
(12) Bondi, A. J. Phys. Chem. 1964, 68, 443.
(13) Grein, F. J. Phys. Chem. A 2002, 106, 3823.
1
999, 38, 1442).
Org. Lett., Vol. 9, No. 26, 2007
5419