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Singlet Fission - Department of Chemistry

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AF Chemical Reviews, XXXX, Vol. xxx, No. xx Smith and Michl<br />

in transient absorption measurements performed under<br />

identical conditions on a single crystal <strong>of</strong> 3, and the authors<br />

attributed its absence to different morphology. 147,179 However,<br />

since they did not specify the monitoring laser beam<br />

polarization direction relative to crystal or molecular axes,<br />

one cannot exclude the possibility that A was formed but its<br />

transition moment was out <strong>of</strong> alignment with the electric field<br />

<strong>of</strong> the monitoring laser beam.<br />

The dynamics <strong>of</strong> the decay <strong>of</strong> A can be altered by the<br />

presence <strong>of</strong> underlying structures. For 3 on glass, 149 there is<br />

an initial fast (∼175 fs) component <strong>of</strong> absorption decay,<br />

which is not observed for 3 on Ag nanohole films. This is<br />

thought to be due to changes in the rate <strong>of</strong> vibrational cooling<br />

or in the relative energies <strong>of</strong> the S1 and T1 states due to<br />

interaction with surface plasmons.<br />

In ultrafast transient absorption studies <strong>of</strong> films <strong>of</strong> 3, 147,179,151<br />

the spectral signature <strong>of</strong> A is less clear. Upon cooling to 5<br />

K, 151 the spectra change considerably, and the peak <strong>of</strong> A<br />

becomes more prominent relative to ground-state bleach. It<br />

is not obvious whether the results represent an observation<br />

<strong>of</strong> an additional transient species (D) with a sharp peak at<br />

1.9 eV that also lives for many ns and whose formation is<br />

enhanced when the film is doped with C60.<br />

Species B. This transient has only been detected in a thin<br />

film <strong>of</strong> 3 observed at 65° incidence, as a weak absorption<br />

band at 2.30 eV. 76,77 Its rise time <strong>of</strong> ∼1 ps and a lifetime <strong>of</strong><br />

a few hundred ps are clearly distinct from those <strong>of</strong> A and<br />

demand the assignment <strong>of</strong> B as a different species. The 2.3<br />

eV band is not seen at normal incidence under otherwise<br />

identical conditions and is therefore evidently polarized along<br />

the long axis <strong>of</strong> 3.<br />

Species C. This transient, with a broad absorption peak<br />

at 1.4 eV, a temperature-independent 700 fs rise time, and a<br />

lifetime <strong>of</strong> many ns, was observed in a study 147,179 <strong>of</strong> a single<br />

crystal and in thin films <strong>of</strong> 3, 147,179,151 where its rise time is<br />

shorter than the 200 fs time resolution <strong>of</strong> the measurement. 151<br />

In a thin film, the intensity <strong>of</strong> this absorption peak relative<br />

to the ground-state bleach was much weaker than in the<br />

single crystal and was reduced further when the film was<br />

doped with C60. 147,179 The authors attribute the difference<br />

between results for a single crystal and a film to different<br />

morphology. Another possible explanation is that the 1.4 eV<br />

transition in C is mostly long-axis polarized and therefore<br />

hard to observe in their thin films at normal incidence (the<br />

ground-state absorption is short-axis polarized).<br />

Proposed Interpretations. Four different hypotheses have<br />

been presented to account for the fast decay <strong>of</strong> the initially<br />

excited S1 state to the species A observed in solid 3, and the<br />

authors <strong>of</strong>ten differ in the interpretation <strong>of</strong> the nature <strong>of</strong> the<br />

transients B and C as well. The proposed fates <strong>of</strong> S1 are (i)<br />

fission to free triplet excitons, which have been assigned by<br />

some authors 150 (and later accepted by certain others 149,207 )<br />

as species A, in other publications as species C, 147,179,151 and<br />

in one paper as species B 77 (which we consider the most<br />

likely), (ii) formation <strong>of</strong> an excimer 76,77 (this also is one <strong>of</strong><br />

the two possibilities considered likely in ref 151), (iii) fission<br />

to a strongly bound triplet exciton pair, an intermolecular<br />

doubly excited state 1 (TT) 181 (this is the other possibility<br />

considered likely in ref 151), and (iv) internal conversion to<br />

a intramolecular doubly excited state (which we believe can<br />

be safely excluded), followed by conversion to a pair <strong>of</strong> free<br />

triplet excitons. 40 We find none <strong>of</strong> these four hypotheses<br />

entirely satisfactory but are unable to propose a convincing<br />

detailed alternative. We have considered the possibility that<br />

A might be a quintet state <strong>of</strong> 3, formed by energy transfer<br />

from a quintet state <strong>of</strong> the intermolecular triplet pair 5 (TT),<br />

but a few simple density functional theory (DFT) calculations<br />

convinced us that such a locally excited quintet is probably<br />

too high in energy and that its absorption spectrum is unlikely<br />

to fit A.<br />

(i) An assignment <strong>of</strong> A as the T1 state <strong>of</strong> crystalline 3<br />

was made based on its long lifetime and the vague similarity<br />

<strong>of</strong> its absorption spectrum to that <strong>of</strong> the triplet <strong>of</strong> 3 in<br />

solution. 150 It was felt that the large red shift <strong>of</strong> the bands <strong>of</strong><br />

A relative to the solution spectrum <strong>of</strong> the triplet <strong>of</strong> 3 would<br />

be acceptable. This assignment <strong>of</strong> A as the triplet exciton <strong>of</strong><br />

3 was later convincingly criticized. 76,77 It was pointed out<br />

that the red shift <strong>of</strong> the absorption peaks <strong>of</strong> A, which start<br />

at 1.88 eV, relative to the solution spectrum <strong>of</strong> the triplet <strong>of</strong><br />

3, which starts at 2.46 eV, 193 actually is unreasonably large.<br />

Moreover, the observed intensity <strong>of</strong> the bands <strong>of</strong> A is<br />

comparable to that <strong>of</strong> the ground-state bleach, whereas in<br />

solution, the absorption intensity is an order <strong>of</strong> magnitude<br />

higher for T1 than for S0. Here, it could be argued that the<br />

S1 state is delocalized and exciton-coupled (superradiant) and<br />

the ground-state bleach intensity is thus enhanced, similarly<br />

as has been recently proposed for solid 2. 120 However, most<br />

importantly, the first intense absorption band <strong>of</strong> monomeric<br />

3 is long-axis polarized, whereas the absorption <strong>of</strong> A is shortaxis<br />

polarized. Others concurred with the criticism, 181 and it<br />

now seems inevitable to us that the assignment <strong>of</strong> A as triplet<br />

exciton must be rejected. The proposed attribution <strong>of</strong> A to<br />

the radical cation <strong>of</strong> 3 147 can be rejected as well, based 151 on<br />

the analysis given above.<br />

Still assuming that singlet fission to triplet excitons is the<br />

dominant fate <strong>of</strong> the initially excited singlet state, we need<br />

to next consider the proposal that it actually is species C<br />

that is the free triplet exciton. 147,151,179 This species was<br />

observed in a single crystal <strong>of</strong> 3, and only much more weakly<br />

in a solid film, 147,179 where the peaks <strong>of</strong> A also were observed<br />

only weakly if at all, and species B was not observed. The<br />

long decay time <strong>of</strong> C, its sub-ps rise time, and the temperature<br />

independence <strong>of</strong> its formation, expected for exothermic<br />

singlet fission, were taken to be sufficient evidence for the<br />

assignment.<br />

Because the location <strong>of</strong> the absorption peak <strong>of</strong> C (1.4 eV)<br />

differs so dramatically from that <strong>of</strong> triplet 3 in the gas phase<br />

(2.68 eV 189 ) or in solution (2.46 eV 193 ), it is hard to imagine<br />

that the assignment <strong>of</strong> C to a triplet exciton could be correct.<br />

It is true that calculations predict a long-axis polarized T1 to<br />

T2 transition in this energy range (e.g., 1.24 40 and 1.41 182<br />

eV), but its calculated intensity is 182 300 times lower than<br />

that <strong>of</strong> the transition at 2.68 eV. Indeed, all efforts to observe<br />

such a transition in the isolated molecule have failed, and it<br />

has been established that in benzene solution the absorption<br />

coefficient <strong>of</strong> triplet 3 in this region is

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