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Growth and physical properties of crystalline rubrene - BOA Bicocca ...

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2.5 Optical <strong>properties</strong> <strong>of</strong> <strong>crystalline</strong> <strong>rubrene</strong> 19<br />

Figure 2.7: Scheme <strong>of</strong> the energy levels <strong>and</strong> transitions involved in the singlet<br />

fission process in a <strong>rubrene</strong> single crystal. TAF indicates thermally activated fission<br />

<strong>and</strong> DF indicates direct fission. From [64].<br />

excitation energy with a neighboring molecule in its ground state, leading to<br />

the formation <strong>of</strong> a couple <strong>of</strong> triplet states[65]. The main condition for this<br />

process to be predominant in a molecular crystal, which is quite infrequent, is<br />

that the energy <strong>of</strong> the lowest singlet excited state S1 must be almost exactly<br />

twice the energy <strong>of</strong> the lowest triplet excitation energy T1. This is realized<br />

in the case <strong>of</strong> orthorhombic <strong>rubrene</strong>, where S1 = 2.23eV <strong>and</strong> T1 = 1.14eV,<br />

as shown in figure 2.7, where the energy levels <strong>of</strong> <strong>crystalline</strong> <strong>rubrene</strong> relevant<br />

for the singlet fission process are reported. Thanks to singlet fission the<br />

efficiency <strong>of</strong> carrier photogeneration can theoretically extremely high values,<br />

leading to higher limits for the maximum efficiency <strong>of</strong> organic photovoltaic<br />

cells <strong>and</strong> thus motivating the interest toward this topic.<br />

Finally, another outst<strong>and</strong>ing property <strong>of</strong> excitons in orthorhombic <strong>rubrene</strong><br />

is their extremely large diffusion length. Najafov et al. have shown by pho-<br />

toconductivity measurements that the exciton diffusion length in <strong>crystalline</strong><br />

<strong>rubrene</strong> is in the range <strong>of</strong> 3÷8 µm, making it possible for excitons generated<br />

in the whole absorption region to reach the surface, where they dissociate<br />

into free charge carriers leading to generation <strong>of</strong> photocurrent[17]. By direct<br />

imaging <strong>of</strong> exciton diffusion, as shown in figure 2.8, other authors have con-<br />

firmed the large diffusion length <strong>of</strong> excitons in <strong>rubrene</strong> crystals, showing at<br />

the same time the presence <strong>of</strong> a strong anisotropy in the diffusion length,<br />

particularly large along the b lattice direction, i.e. along the same lattice

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