Communications
lated at the RB3LYP/6-31G(d) level of theory, and those of
indicates the antiaromatic character of the as-indacene
moiety. NICS calculation supports the experimental results.
The NICS(1) (NICS(1)zz[37]) value for the peripheral benzene
rings of 6a is À6.17 (À12.62), which is indicative of aromatic
character. Conversely, those for the central benzene ring and
five-membered rings are + 2.12 (+ 22.02) and + 4.28
(+13.81), respectively, indicating a weak antiaromatic char-
acter of the as-indacene moiety (Table S8 in Supporting
Information).
the previously isolated oQDMs (11: 1.346(6)[18] and 12:
1.356(11) ꢁ,[19] mean values). The bond-length elongation
reminds us of the discussion in connection with Thieleꢀs and
Chichibabinꢀs hydrocarbons.[15] Unusual bond lengths in
Chichibabinꢀs hydrocarbon were explained in terms of a
manifestation of biradical character. Indeed, the singlet
biradical character of oQDM has been
a subject of
study.[11d,29] We thus calculated the electronic structure of
6a. The frontier molecular orbitals of 6a have large coef-
ficients at C11 and C12 (Figure S7 in the Supporting
Information). In addition, the HOMO–LUMO energy gap
of 6a is relatively small (2.25 eV, Table S5 in the Supporting
Information). The large spatial overlap between the HOMO
and LUMO and small HOMO–LUMO energy gap are
characteristic of compounds having singlet biradical charac-
ter.[30] The singlet biradical character (y) of 6a and oQDM
was calculated by the natural orbital occupation number
(NOON) of the LUMO in a spin-unrestricted calculation.[31]
The broken-symmetry UHF/6-31G(d) calculations of 6a and
oQDM gave LUMO occupation numbers of 0.61 and 0.50,
respectively. Using the Yamaguchi scheme,[32] the indices for
singlet biradical character of 6a and oQDM were estimated to
be 0.33 and 0.21, respectively. The spin density distribution of
6a was calculated at the UBHandHLYP/6-31G(d) level of
theory. As in the frontier molecular orbitals, C11 and C12
exhibit the largest spin density of a and b spins, respectively
(Figure S10 and Table S6 in Supporting Information). In
addition, the spin density distribution of 6a is quite similar to
that of oQDM. Based on these theoretical investigations, 6a
should be described as a combination of Kekulꢂ and singlet
biradical canonical structures as shown in Scheme 2. The fact
that the singlet biradical character of 6a is more pronounced
than that of oQDM would be manifested by the elongation of
bond a, which is most susceptible to the contribution weight of
the canonical resonance structure shown in Scheme 2.[33]
The optical and electrochemical properties of 6c suggest
that, in spite of the relatively small p conjugation, 6c has a
very small HOMO–LUMO energy gap. The electronic
absorption spectrum of 6c showed low-energy bands at
730 nm (e = 790mÀ1 cmÀ1) and 537 nm (e = 15200mÀ1 cmÀ1
;
Figure 2). The wavelength of the lowest-energy absorption is
Figure 2. UV/Vis spectrum of 6c in CH2Cl2.
longer than that of 3b (594 nm[5]) and pentacene (582 nm[38]),
a representative of hydrocarbons consisting of five fused-ring
with a small HOMO–LUMO energy gap. TD-DFT calcula-
tions show that both of the bands involve transitions from
HOMO to LUMO and HOMO-1 to LUMO (Table S10 in the
Supporting Information). The HOMO–LUMO energy gap
based on optical properties was thus roughly estimated to be
1.70 eV. Similar to 3, no fluorescence was observed. The cyclic
voltammogram of 6c exhibits two reversible redox waves
1
The temperature dependence of H NMR signals is an
experimental indicator of singlet biradical character because
a thermally excited triplet species causes broadening of
signals. For example, bis-phenalenyl hydrocarbons[6] and
anthenes[34] showed signal broadening with an increase in
temperature, and the temperature at which the broadening of
the signals was observed exhibited a good correlation with the
calculated biradical character. However, no temperature
(Eox = + 0.59 V, Ered = À1.51 V (V vs. Fc/Fc+); Eredox
=
1
dependence was observed in the H NMR spectra of 6c in
2.10 V), from which we estimate the electrochemical
HOMO–LUMO energy gap of 2.10 eV (Figure S13 in Sup-
porting Information). These values are in good agreement
with the calculated value of 2.27 eV.
[D6]DMSO when the solution was heated from 30 to 758C
(Figures S11 and S12 in the Supporting Information), indicat-
ing that the singlet–triplet energy gap of 6c is relatively large
and that the biradical character of 6c is too small to affect the
NMR spectra.[35]
In conclusion, we have synthesized and isolated an air-
stable oQDM, 11,12-dimesitylindeno[2,1-a]fluorene (6c).
Examination of the bond lengths indicates that 6c contains
an oQDM structure. Detailed examination of the bond
lengths and theoretical calculations indicate some singlet
biradical character of 6c. NICS calculation and chemical
shifts in the 1H NMR spectrum suggest that 6c is weakly
antiaromatic as a result of the as-indacene moiety. Despite the
limited p conjugation, 6c shows low-energy absorptions and
excellent electrochemical properties. These findings suggest
that indeno[2,1-a]fluorene derivatives are potential candi-
1
The chemical shifts of 6c in the H NMR spectrum are a
good indicator of aromaticity. The protons of 6c are observed
at higher magnetic field than those of 14 (Figures S1 and S3,
and Table S7 in Supporting Information). The upfield shift of
the protons in the central benzene ring is larger than that of
the protons in the peripheral benzene rings by roughly
0.45 ppm. In addition, the Gꢃnther Q value[36] of the
peripheral benzene ring, which is calculated from the 3J
values of 7.35 and 7.4 Hz, is 1.01; this is smaller than 1.04 and
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Angew. Chem. Int. Ed. 2011, 50, 6906 –6910