Chlorophyll and Porphyrin Dimer-Faced Prisms
A R T I C L E S
Table 1. Fluorescence Data and Results of Fo¨rster-Type Energy Transfer Calculations for Prisms in Toluene
a
struct
λF
τF (ns)
ΦF
τh (ps)
R (nm)b
κ2
τFRET(S1 f S1) (ps)
τFRET(S1 f S0) (ps)
13-SL2
13-LL2
23-SL2
23-LL2
733
737
749
749
1.19
1.10
1.36
1.33
0.07
0.08
0.14
0.15
6.2 ( 0.2
14.6 ( 3.4
4.8 ( 0.6
18.4 ( 2.0
1.73
2.83
1.73
2.83
1
1
1
1
10.3
157
1.1
11.1
171
0.9
19.2
11.9
a Fluorescence quantum yields use DOTC iodide59 as a reference. b Values derived from MM+ geometry-optimized models obtained using Hyperchem.37
mechanism.41-45 The competing Dexter mechanism46 requires
a direct orbital pathway between energy donors and accep-
tors,47,48 so that contributions from the Dexter mechanism in
the prismatic assemblies are most likely negligible because the
large distance between the dimer faces prohibits overlap of the
donor and acceptor orbitals. Overlap of the trigonal ligand
orbitals and the dimer orbitals is also negligible due to the small
orbital coefficient at the Zn centers of both tetrapyrrole
macrocycles.25,49
hopping rate (τh) derived from eq 1 has an increasing contribu-
tion from energy transfer from an excited chromophore to one
in its ground state. Therefore, using the S1 f S0 emission
spectrum of the donor chromophore and the S0 f S1 absorption
spectrum of the acceptor chromophore in eq 2 to calculate kFRET
becomes an increasingly better approximation as the number
of chromophores over which the exciton hops increases.53,54 For
the prismatic chlorophyll and porphyrin assemblies studied here,
there are only three chromophores/prism, so that when two S1
states are present in each prism, each of them can hop either to
one S0 chromophore or to the other S1 chromophore and
annihilate. To determine the best approximation, we will
calculate and compare both the S1 f S1 and S1 f S0 Fo¨rster
energy transfer rates.
The rate of Fo¨rster resonance energy transfer41 is expressed
as
kFRET
)
κ2ΦF
8.785 × 10-11
fD(λ)λ4ꢀA(λ) dλ (ps-1) (2)
∫
4
6
∆λ
(
)
The ground-state absorption spectra of 13-SL2, 13-LL2, 23-
SL2, and 23-LL2 in toluene are presented in Figures 3 and 4,
their fluorescence spectra are given in Figure S11, and their
fluorescence maxima (λF), quantum yields (ΦF), and lifetimes
(τF) are listed in Table 1. For all molecules, the emission features
are approximately mirror images of the corresponding Qy(0,0)
and Qy(0,1) absorption features. The most prominent features
in the transient absorption spectra of 13-SL2, 13-LL2, 23-SL2,
and 23-LL2 in toluene, Figures 8-11, are bleaches of their
ground-state absorption bands and stimulated emission. The
remaining absorption changes due to their S1 f Sn transitions
are broad and essentially featureless across most of the visible
and near-infrared region.55-57 Because it is difficult to accurately
subtract the prominent stimulated emission features from the
transient absorption spectra, we have approximated the S1 f
Sn spectra by using a constant value of the S1 f Sn absorbance
obtained from the transient absorption observed at 480-620
nm for 13-SL2 and 13-LL2 and 520-650 nm for 23-SL2, and
23-LL2, where their respective ground states have very little
absorption. The estimated S1 f Sn absorbance is assumed to
be constant throughout the region of the S1 f S0 emission from
the donor. The time constants for Fo¨rster energy transfer (τFRET
) 1/kFRET) were calculated using the PhotochemCAD software
package58 and are presented in Table 1. The estimated S1 f Sn
absorbance is an upper limit (see Figure S12 and Table S1),55-57
so that if the actual spectral overlap is smaller, the calculated
Fo¨rster energy transfer times are slower. This would result in
n R τF
where κ2 is the geometrical factor, n is the effective index of
refraction (1.496 for toluene) used to determine the Coulombic
interaction between the donor and the acceptor,50 R (nm) is the
distance between chromophores, fD(λ) is the corrected fluores-
cence intensity of the donor with the total intensity normalized
to unity, ꢀA(λ) is the extinction coefficient of the acceptor in
M-1 cm-1, and ΦF and τF are the donor fluorescence quantum
yield and lifetime, respectively. If singlet-singlet annihilation
between a pair of chromophores that are both excited to their
S1 states occurs by Fo¨rster energy transfer,51 calculating kFRET
using eq 2 requires the S1 f S0 emission spectrum of the donor
chromophore and the S1 f Sn absorption spectrum of the
acceptor chromophore.52 However, if the number of chro-
mophores in the ensemble increases beyond 2, the probability
of having energy transfer occur between an excited chromophore
and a nearby ground-state chromophore prior to singlet-singlet
annihilation also increases. As a consequence, the overall exciton
(41) Lakowicz, J. R. Principles of Fluorescence Spectroscopy; Kluwer: Dor-
drecht, The Netherlands, 1999.
(42) Bradforth, S. E.; Jimenez, R.; van Mourik, F.; van Grondelle, R.; Fleming,
G. R. J. Phys. Chem. 1995, 99, 16179-16191.
(43) Hwang, I.-W.; Ko, D. M.; Ahn, T. K.; Yoon, Z. S.; Kim, D.; Peng, X.;
Aratani, N.; Osuka, A. J. Phys. Chem. B 2005, 109, 8643-8651.
(44) Hwang, I.-W.; Park, M.; Ahn, T. K.; Yoon, Z. S.; Ko, D. M.; Kim, D.; Ito,
F.; Ishibashi, Y.; Khan, S. R.; Nagasawa, Y.; Miyasaka, H.; Ikeda, C.;
Takahashi, R.; Ogawa, K.; Satake, A.; Kobuke, Y. Chem.sEur. J. 2005,
11, 3753-3761.
(45) Hwang, I.-W.; Yoon, Z. S.; Kim, J.; Kamada, T.; Ahn, T. K.; Aratani, N.;
Osuka, A.; Kim, D. J. Photochem. Photobiol., A 2006, 178, 130-139.
(46) Dexter, D. L. J. Chem. Phys. 1953, 21, 836-850.
(47) Closs, G. L.; Piotrowiak, P.; MacInnis, J. M.; Fleming, G. R. J. Am. Chem.
Soc. 1988, 110, 2652-2653.
(53) Barzda, V.; Gulbinas, V.; Kananavicius, R.; Cervinskas, V.; van Amerongen,
H.; van Grondelle, R.; Valkunas, L. Biophys. J. 2001, 80, 2409-2421.
(54) Valkunas, L.; Trinkunas, G.; Liuolia, V.; van Grondelle, R. Biophys. J.
1995, 69, 1117-1129.
(48) Closs, G. L.; Johnson, M. D.; Miller, J. R.; Piotrowiak, P. J. Am. Chem.
Soc. 1989, 111, 3751-3753.
(49) Yatskou, M. M.; Koehorst, R. B. M.; van Hoek, A.; Donker, H.; Schaafsma,
T. J.; Gobets, B.; van Stokkum, I.; van Grondelle, R. J. Phys. Chem. A
2001, 105, 11432-11440.
(55) Baugher, J.; Hindman, J. C.; Katz, J. J. Chem. Phys. Lett. 1979, 63, 159-
162.
(50) Knox, R. S.; van Amerongen, H. J. Phys. Chem. B 2002, 106, 5289-
(56) Shepanski, J. F.; Anderson, R. W., Jr. Chem. Phys. Lett. 1981, 78, 165-
173.
5293.
(51) Agranovich, V. M.; Galanin, M. D. Electronic Excitation Energy Transfer
in Condensed Media; Elsevier: Amsterdam, 1982.
(57) Becker, M.; Nagarajan, V.; Parson, W. W. J. Am. Chem. Soc. 1991, 113,
6840-6848.
(52) Larsen, J.; Bruggemann, B.; Polivka, T.; Sundstrom, V.; Akesson, E.; Sly,
J.; Crossley Maxwell, J. J. Phys. Chem. A 2005, 109, 10654-10662.
(58) Du, H.; Fuh, R.-C. A.; Li, J.; Corkan, L. A.; Lindsey, J. S. Photochem.
Photobiol. 1998, 68, 141-142.
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