The average H2 production rate changed with the size of the clusters deposited. These quantum size effects are particularly strong for clusters with a few tens of atoms.
If a photon energy larger than the band gap is illuminated, an electron pair is created in the semiconductor. In order for the H2 gas to be formed with the electron created from the photon, the electron has to be trapped efficiently at the cluster and then transferred to the protons. For the efficient trapping, its Lowest Unoccupied Molecular Orbital has to be lower in energy than the lower edge of the conduction band of the semiconductor.
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