The injection time τ of the electron transfer from an excited electronic state of a dye molecule to a semiconducting surface is studied. An analytical expression for the injection time as a function of excitation energy is derived. The semiconductor is described as a one-dimensional chain in the tight-binding approximation, and the dye molecule is included via the coupling to the semiconductor. For a TiO 2 semiconductor, the injection time is estimated to be approximately 5 fs. The results support and characterize recent experimental studies.
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Petersson et al. (2000) studied this question.
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