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Singlet Fission - Department of Chemistry

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

high, as is the yield recently indirectly determined from<br />

ground-state bleach for a carotenoid aggregate by ps timeresolved<br />

resonance Raman spectroscopy 110 (section 4.1).<br />

These results make 8 the first successful compound<br />

purposely designed to exhibit efficient singlet fission, using<br />

the design principles outlined in section 2, although it is<br />

admittedly only accidental that the crystal structure <strong>of</strong> the<br />

C2 conformer <strong>of</strong> 8 contains slip-stacked pairs <strong>of</strong> molecules<br />

in an arrangement that appears to be nearly optimal for the<br />

direct mechanism <strong>of</strong> singlet fission based on the arguments<br />

made there (Figure 12). It is not presently certain that the<br />

same crystal structure is present in the film sublimed on<br />

sapphire.<br />

Triplet formation was also observed in polycrystalline<br />

solids <strong>of</strong> three dimers <strong>of</strong> 8 (30, 31, and 32), 82 presumably<br />

again due to singlet fission, because in cyclohexane solution<br />

these compounds exhibit no detectable triplet formation.<br />

These materials have not yet been examined in detail.<br />

3.5. Miscellaneous<br />

Perylene (9)<br />

The study <strong>of</strong> singlet fission in 9 is made particularly<br />

interesting by the fact that this hydrocarbon is available in<br />

two crystalline forms, R-9 and -9, the former <strong>of</strong> which<br />

forms excimers. Optically induced fission is a suitable probe<br />

for excimer formation because it provides information about<br />

whether the excimer forms on a faster time scale than<br />

vibrational relaxation and fission. 212,213 If it does, the excimerforming<br />

R form should exhibit a higher threshold energy<br />

for singlet fission due to the additional energy needed to<br />

break the excimer. This has been found to be the case. 138,212,213<br />

Using the magnetic field effect on prompt fluorescence as a<br />

function <strong>of</strong> excitation energy for an indicator, the threshold<br />

energy for R-9 is 3.51 eV, blue-shifted by 0.5 eV from the<br />

-9 threshold <strong>of</strong> 3.01 eV, 212 and one can conclude that in<br />

the R form excimer formation is faster than singlet fission.<br />

A theoretical estimate puts the rate <strong>of</strong> excimer formation at<br />

10 13 s -1 . 212 On the basis <strong>of</strong> the blue shift <strong>of</strong> the threshold<br />

energy in R-9, the binding energy for two triplets on<br />

neighboring molecules is 0.04 eV.<br />

<strong>Singlet</strong> fission has been observed in single crystals <strong>of</strong> 9<br />

(unspecified form, R or ) excited with vacuum UV radiation<br />

at energies higher than twice the triplet energy, as evidenced<br />

by magnetic field effects on the prompt fluorescence intensity.<br />

80 The fluorescence enhancement increased with increasing<br />

magnetic field strength before eventually saturating and<br />

was anisotropic with respect to magnetic field orientation.<br />

Tris-(8-hydroxyquinoline)aluminum (Alq3, 10)<br />

This material is <strong>of</strong> interest for use in organic light-emitting<br />

diodes (OLEDs), where it is <strong>of</strong>ten desirable to keep triplet<br />

formation as low as possible to produce light by fluorescence<br />

rather that phosphorescence. Because high current densities<br />

are commonly used, it is <strong>of</strong> interest to study triplet formation<br />

and decay under these conditions. At high excitation intensities,<br />

transient absorption signals in thin films <strong>of</strong> 10 121 show<br />

that excited singlets fuse to form higher excited singlets.<br />

Because <strong>of</strong> the prevalence <strong>of</strong> annihilation as a relaxation<br />

process for singlets under these conditions, the singlet<br />

population is proportional to Iex 1/2 . Triplets formed by singlet<br />

fission were also observed at high excitation intensities.<br />

Triplets formed by intersystem crossing have a density<br />

proportional to Iex 1/2 , whereas those formed by singlet fission<br />

have a density proportional to Iex. Thin films were excited<br />

with various intensities <strong>of</strong> 3.49 eV light. At Iex < 2 × 10 21<br />

photons cm -2 s -1 , intersystem crossing accounted for all<br />

triplet generation. At Iex > 2 × 10 22 photons cm -2 s -1 , the<br />

density <strong>of</strong> triplets is proportional to the excitation intensity.<br />

By subtracting the triplet density expected from intersystem<br />

crossing, the triplet quantum yield from singlet fission was<br />

determined to be 30%.<br />

Benzophenone (11)<br />

<strong>Singlet</strong> fission has been observed in single crystals <strong>of</strong> 11<br />

under two different excitation intensities using ps timeresolved<br />

absorption spectroscopy. 214 At lower excitation<br />

intensities, the triplet rise time equals the decay time <strong>of</strong><br />

excited singlet absorption, indicating that intersystem crossing<br />

is solely responsible for triplet formation. At four times<br />

higher excitation intensities, the total triplet rise time was<br />

faster than would be expected from intersystem crossing<br />

alone. A two-photon absorption to a highly excited singlet,<br />

followed by singlet fission, was consistent with the observed<br />

triplet formation. A good fit <strong>of</strong> the triplet rise time under<br />

high excitation intensity was obtained assuming that 40%<br />

<strong>of</strong> triplets are formed by fission.<br />

Rubrene (12)<br />

In a recent study <strong>of</strong> exciton diffusion in rubrene single<br />

crystals using photoconductivity measurements, long-lived<br />

excitons assigned as triplets were observed. <strong>Singlet</strong> fission<br />

was suggested as a possible source <strong>of</strong> these triplets, but no<br />

attempts to obtain direct evidence for singlet fission were<br />

made. 235<br />

4. Aggregates<br />

As crystal size diminishes, the relative importance <strong>of</strong><br />

surface molecules increases, and by the time nanocrystal size<br />

is reached, order tends to decrease. Very small nanocrystals<br />

are difficult to differentiate from molecular aggregates. The<br />

exact structure <strong>of</strong> such species is frequently known only<br />

approximately or not at all. The limiting cases are noncovalent<br />

dimers.<br />

With one exception, no singlet fission work seems to have<br />

been done on nanocrystals and aggregates. This is unfortunate,<br />

because one can easily imagine that they could be used<br />

as sensitizers on semiconductor nanoparticles in photovoltaic<br />

cells. The striking exception is the carotenoids, which occur<br />

naturally in the photosynthetic apparatus in the form <strong>of</strong><br />

aggregates and have been almost exclusively investigated<br />

for singlet fission in aggregates only.<br />

4.1. Carotenoids<br />

Carotenoids contain a series <strong>of</strong> linearly conjugated double<br />

bonds and can be viewed as oligomers on the way from<br />

ethylene and 1,3-butadiene to the simplest conjugated<br />

polymer, polyacetylene. As mentioned in section 2.2.2 and<br />

summarized in more detail in the introduction to section 5,<br />

in the usual all-anti configuration <strong>of</strong> such structures the<br />

lowest excited singlet electronic state S1 is the doubly excited<br />

2Ag - state that can be viewed as a singlet-coupled combination<br />

<strong>of</strong> triplet excitations localized in two different parts <strong>of</strong><br />

the chromophore. The strongly allowed 1Bu + HOMO-LUMO<br />

state that represents the usual optical entry into the excited

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