C O M M U N I C A T I O N S
kr
n3
) 3.137 × 10-7(V∆µ)2νf
(1)
while in the second case, V* . V and kr is given by
kr 3.137 × 10-7(V*µ*)2νf3
Figure 3. (a) Pump-probe transient signals at 200 fs (---) and 200 ps (s)
for Meta. (b) Pump-probe transient signals monitoring the decay of the
neutral excited-state absorption for Meta (555 nm, black) and Para (614
nm, red). The decay times from a global fit are 4.5 ps for Meta and 5.4 ps
for Para. (c) Fluorescence decays for Meta (black, lifetime ) 16.8 ns)
and Para (red, lifetime ) 1.8 ns).
)
(2)
n3
(νa - νf)3 + V*2
where n is the refractive index, νa and νf are the peaks of the
absorption and fluorescence spectra, respectively, ∆µ is the change
in permanent dipole between the DBA and D+BA- states, and µ*
is the transition dipole between DBA and (DBA)*. Using either
measured or calculated values for νa, νf, µ*, and ∆µ in eqs 1 and
2, only modest changes in kr less than a factor of 2 can be obtained.
Therefore, the 30-fold enhancement in kr for Para cannot be solely
due to variations in νa, νf, µ*, or ∆µ, but must result from either V
or V*, or both, being larger for Para than for Meta. In other words,
the enhanced radiative rate that leads to fast charge recombination
in Para is a direct result of its larger ET matrix elements between
the CT state and at least one neutral state.
In conclusion, we have shown that the two isolectronic DBA
compounds have similar forward but very different backward ET
rates. The origin of this difference lies in the excited-state enhance-
ment of electronic coupling through the meta bridge: it acts like a
wire in the excited state, allowing facile forward ET, while in its
ground state the meta linkage acts like an insulator, preventing elec-
tronic communication. To exploit the asymmetry of the meta bridge,
the initially absorbed photon must both provide energy for the CT
event and place the bridge in its excited state. In our molecules,
this is accomplished by having the bridge partially conjugated to
the donor-acceptor groups. It is an interesting question whether
more weakly coupled bridge structures can exhibit similar behavior.
Acknowledgment. This work was supported by DOE grants
DEFG-01ER15270 and DEFG-05ER15747. C.J.B. is a Sloan
Research Fellow, A.L.T. is a NSF predoctoral fellow, and T.J.M.
is a Packard Fellow and Dreyfus Teacher-Scholar.
minor changes in the spectral shape over the course of hundreds
of picoseconds. Preliminary pump-probe experiments in more polar
solvents such as CH2Cl2 and DMF show the same initial decay,
accelerated by at least a factor of 2, providing further evidence
that it reflects the forward electron-transfer event.
Figure 3c shows the measured fluorescence decays of Meta and
Para in toluene. In both molecules, fluorescence measurements in
toluene reveal emission from the initially excited neutral state which
disappears within the 15 ps instrument response time, replaced by
a much longer-lived, red-shifted CT emission. Unlike the forward
charge separation times, the charge recombination times extracted
from these data are quite different: 16.8 ns for Meta and 1.8 ns
for Para. Thus, the ratio of forward/backward ET rates is ∼300 in
Para and ∼3500 in Meta, making Meta better suited for photo-
voltaic applications.
The greater rate asymmetry in Meta results from two factors:
the similar forward ET rates and the more rapid recombination in
Para. The fact that the rates of CT state formation differ by only
about 20% is surprising considering the conventional picture that
meta conjugation prevents electronic communication. But when the
donor and/or acceptor is electronically coupled to the bridge moiety,
as is the case here, the excited-state properties of the bridge must
be taken into account. Both theory and experiment have demon-
strated that phenyl compounds in their lowest excited state exhibit
much stronger coupling between meta substituents than in the
ground state.8 Recent ab initio calculations showed how excitonic
coupling between meta-linked PA segments is enhanced by a factor
of 7.3 in the excited state, versus a factor of 1.3 for para-linked
PAs.4 This provides a qualitative explanation of why Meta’s
forward ET rate is comparable to that of Para.
Supporting Information Available: Synthetic details, transient
spectra, calculation details, and optimized geometries (PDF, PDB). This
References
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excited state (denoted V and V*, as shown in Figure 2). By meas-
uring the fluorescence quantum yields, we determine the radiative
and nonradiative components of the total fluorescence decay rate,
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kr and knr. For Para, kr ) 4.2 × 108 s-1 and knr ) 1.1 × 108 s-1
,
and for Meta, kr ) 1.4 × 107 s-1 and knr ) 4.7 × 107 s-1. kr for
Para is 30 times larger than that of Meta, while the knr values
differ only by a factor of 2.2, and this larger kr leads to rapid
radiative recombination. The radiative rate of a CT state is deter-
mined by its coupling to both the ground state and nearby neutral
excited states, and the most general expression is quite complicated.9
We examine two limiting cases where the solutions are well-known
and show that in either one, the factor of 30 increase in kr can be
explained only by a larger electronic matrix element V or V*. In
the first case, V . V* and kr is given by10
JA054543Q
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