Angewandte
Chemie
gain insights into the charge distribution of the oxidized
double-decker, only the spectral change in the lowest energy
transitions of 2+ to 24+ will be discussed (Figure 4). The lowest
that the charged species of 2+ to 24+ are in delocalized
intervalence states. In particular, the lowest-energy band for
2+ is assignable to a transition from doubly degenerate b
((HO-1)MOs) to b (LUMO), which corresponds to the
charge resonance between the meta-phenylenediamine moi-
eties as pillars and the core TPA decks. Moreover, the
intervalence band observed for 2+ exhibited no noticeable
solvatochromism in CH2Cl2 (e = 8.93) and benzonitrile (e =
25.59), thus supporting a charge-delocalized character for 2+
(Supporting Information, Figure S7).
Treatment of 2 with 1 equiv of tris(4-bromophenyl)ami-
nium hexachloroantimonate (Magic Blue)[1c] in CH2Cl2 at
195 K gave a green solution for 2+. However, the solution
ESR spectrum showed a single broad line with no hyperfine
structures (g = 2.0024; DHpp (peak-to-peak linewidth) =
1.05 mT), thus affording no information on the spin distribu-
tion over the molecular skeleton (Supporting Information,
Figure S8). On the other hand, the evidence of a diradical
dication for the oxidized species treated by two equiv of the
Magic Blue was confirmed by the fine-structured ESR
spectrum characteristic for spin-triplet species in the g ꢁ 2
region, as well as by the weak signal corresponding to the
forbidden transition in the g ꢁ 4 region (Figure 5). From the
Figure 4. Vis-NIR absorption spectra of the stepwise electrochemical
oxidation of 2 to tetracation 24+ in CH2Cl2/0.1m nBu4NBF4 at 298 K.
a 2+, g 22+, c 24+. The black and white sticks designate the
TD-DFT-calculated lowest-energy transition energies and their relative
oscillator strengths for 2’+, 2’2+, and 2’4+ at B3LYP/6-31G* and B1LYP-
(a=0.35)/SVP with CPCM solvent model for CH2Cl2.
energy band at 1332 nm (0.93 eV) observed for 2+ is blue-
shifted to 1190 nm (1.04 eV) when oxidized into 22+, and the
shifted band becomes twice as intense as that for 2+. Further
oxidation to 24+ resulted in a far more intense band with
a further blue-shift (1053 nm (1.18 eV)).[12] For comparison,
the spectroelectrochemical measurements were also per-
formed for the reference compound 3 (Supporting Informa-
tion, Figure S5).[12] As a consequence, the observed spectrum
for 3+ was found to be in good accordance with that for 22+.
This result strongly suggests that two charged radical centers
in 22+ are located separately on the upper and lower TPA
decks. Furthermore, both spectra observed for 24+ and 32+
were obviously similar, although the maximum wavelength
for the lowest energy band for 22+ remained unchanged
(1190 nm (1.04 eV)). Excitation energies for the oxidized
species, 2’+, 2’2+, and 2’4+, were estimated by the time-
dependent DFT (TD-DFT) calculations[13] (Supporting Infor-
mation, Figure S2 and Table S3). As shown in Figure 4, the
characteristics of the observed spectral change is reasonably
reproduced by the theoretical results for the model compound
2’. Recently, Kaupp and co-workers pointed out the fact that
the frequently used B3LYP hybrid functional may lead to
erroneous results in organic mixed-valence compounds.[14]
Thus, in addition to the B3LYP calculations, we have also
performed the DFT optimizations and TD-DFT calculations
for 2’+, 2’2+, and 2’4+ by using the B1LYP hybrid functional
with 35% exact exchange and the SVP basis sets,[15] as has
been recommended by Kaupp and co-workers.[14] Further-
more, solvents effects have been included by the CPCM
polarizable conductor calculation model for CH2Cl2 (e =
8.93).[16] These calculations resulted in the same trend as
B3LYP ones, although the transition energies showed small
blue-shifts (Figure 4; Supporting Information, Table S4).
Therefore, the present TD-DFT calculations strongly suggest
Figure 5. ESR spectrum of 22+ in CH2Cl2/n-butyronitrile (3:1) at 123 K.
Inset: forbidden resonance observed at 123 K.
zero-field splitting parameters (D = 4.9 mTand Effi0 mT), the
average distance between the radical centers[17] was estimated
to be 8.3 ꢀ. The deviation from the face-to-face distance
between the two TPA decks (5.8 ꢀ) determined by X-ray
analysis strongly suggests that spin-density distributions on
each TPA decks are to some extent delocalized over meta-
phenylenediamine pillars. Figure 6 displays the temperature
dependence of the ESR signal intensity for 22+, and the
ground state of 22+ turned out to be in spin-singlet state,
apparently from decrease in intensity with decreasing temper-
ature. The energy gap between the singlet and triplet states
(DES-T) was estimated to be ꢀ0.18 kcalmolꢀ1 as a result of
curve-fitting with the Bleaney–Bowers singlet–triplet model
equation [Eq. (1)].[18]
C
T
1
ꢀ
ꢁ
I ¼
ð1Þ
DESꢀT
3 þ exp ꢀ
kB
T
On the other hand, as shown in Figure 2a (see also the
Supporting Information, Figure S1), the HOMO and
HOMOꢀ1 of 2’ were found to be of the nondisjoint (or
Angew. Chem. Int. Ed. 2012, 51, 1 – 5
ꢀ 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
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