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Polarization-resolved optical spectra of magnesia-supported gold clustersAu$_N$/MgO (N=1,2,4,8), bound at a surface color center $F_s$ of the MgO(100)face, are calculated from the time-dependent density functional theory. Theoptical lines for n=1,2 are dominated by transitions that involve stronghybridization between gold and $F_s$ states whereas for n=4,8 intraclustertransitions dominate. The theoretical optical spectra are sensitive to clusterstructure and adsorbants (here CO and O$_2$ molecules on Au$_8$/MgO) whichsuggests polarization-resolved optical spectroscopy as a powerful tool toinvestigate structures and functions of chemically active, supported clusters.Comment: 4 pages,4 figures transfered to PRB referee proces

Optical absorption of magnesia-supported gold clusters and nanoscale catalysts: Effects due to the support, clusters, and adsorbants