tens of picoseconds in addition to long-lived components
corresponding to the S1-state decays. When the pump power
was increased, the relative contributions of the fast t1 and t2
components were enhanced as compared to the slowest t3 one
(Table S4, ESIz). The pump-power dependence on the TA
decay is indicative of singlet–singlet annihilation processes,
because the intense excitation or high density of photons
generates two or more excitons in one assembly unit, and then
the recombination between the excitons gives rise to fast
deactivation processes. In this regard, while the fastest t1
components are likely to arise from multiple exciton generation
processes, the second fastest t2 components from the migration
limited exciton–exciton recombination processes between
meso–meso-linked zinc(II) diporphyrins rather than zinc(II)
porphyrin monomers, because this process does not occur in Dn.
The following formula relates the annihilation time (ta) to the
excitation energy hopping (EEH) time (th) for multichromophoric
systems where N is the number of hopping sites:17
Thus, the t2 components occurring in a few tens of picoseconds
seem to be related with the EEH processes in which the exact
hopping time can be derived by using a theoretical modeling of
the multichromophoric system as a planar 2-dimensional
polygon structure (ESIz). In this sense, it is difficult to estimate
the EEH times accurately from the TAA decays of Bn because
of their 3-dimensional structures. Nevertheless, the trends
observed in the t2 components are in good accordance with
the TA decays.
In summary, our attempt to engineer the direction and
magnitude of transition dipole moments of Bn by inserting ethynyl
units along or perpendicular to the long axis of meso–meso linked
diporphyrin has been verified by our combined photophysical
measurements. In addition, we have found that the EEH rates
in Bn depend on the dielectric constant of solvent.
Notes and references
1 (a) J.-M. Lehn, Science, 2002, 295, 2400; (b) M. D. Hollingsworth,
Science, 2002, 295, 2410.
2 (a) T. E. Screen, J. R. G. Thorne, R. G. Denning, D. G. Bucknall
and H. L. Anderson, J. Am. Chem. Soc., 2002, 124, 9712;
(b) T. E. Screen, J. R. G. Thorne, R. G. Denning, D. G. Bucknall
and H. L. Anderson, J. Mater. Chem., 2003, 13, 2796.
ta = (N2 ꢁ 1)/24th
(1)
Though Bn have eight mutually perpendicular porphyrin
monomer units, the number of hopping sites is conceived as
N = 4, because there are four major transition dipole
moments in Bn as shown in Fig. 2, contributing to the lowest
S1 states from which the EET processes occur. Thus, by using
eqn (1), the EEH times th of B1, B2 and B3 were evaluated to
be 28.8, 27.2, and 22.4 ps in CH2Cl2 and 17.6, 5.4, and 3.4 ps in
toluene, respectively. Therefore, the insertion of triple bonds
causes certain enhancement in EEH rate, which is, however,
more dependent upon solvent, only modest in CH2Cl2 but
distinct in toluene. The observed solvent effect may be explained
in terms of different dielectric constant; 8.93 for CH2Cl2 and
2.38 for toluene. The dielectric constants stand for the storage
capacity of electric energy, implying that CH2Cl2 can store
more electric charge than toluene. As a result, the magnitude of
effective transition dipole moments participating in the EEH
process should be larger in toluene than in CH2Cl2. It should be
noted that the decay profiles of B1 in TA measurements do not
seem to be affected by the solvent environment. This may be
accounted for in terms of the change in the transition dipole
moments participating in the EEH from the long to short
molecular axes upon the solvent change.
3 R. A. Haycock, A. Yartsev, U. Michelsen, V. Sundstrom and
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C. A. Hunter, Angew. Chem., Int. Ed., 2000, 39, 3616.
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As described above, the decreased ro values in going from
Dn to Bn indicate the presence of fast depolarization channels
contributed by the EEH processes because the change in the
orientation of transition dipole moments is accompanied as
the EEH process occurs in a multichromophoric system. In
this regard, we have measured transient absorption anisotropy
(TAA) decays of Dn and Bn in CH2Cl2 and toluene (Fig. S5,
ESIz). The TAA decays of Bn exhibit dual exponential decays
in which the fast components with t1 o 0.2 ps indicate the
depolarization processes within the porphyrin monomer and
dimer because the similar components were observed in Dn.
16 S. E. Bradforth, R. Jimenez, F. van Mourik, R. van Grondelle and
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´
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T. Pullerits, Phys. Rev. Lett., 2001, 86, 4167; (b) B. Bruggemann
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¨
c
This journal is The Royal Society of Chemistry 2012
Chem. Commun., 2012, 48, 4181–4183 4183