“…Figure 1cpresents the simulated absorbance spectrum of [Ag 15 (CCÀCH 3 ) 12 ] + along with the experimental one.T osimplify the calculation, all C C-t Bu ligands are replaced with C C À CH 3 ,w hich has been regarded as ac ommon choice in the simulation of organic ligand-protected clusters. [32][33][34][35][36][37] Note that this simplified treatment of the side groups has been demonstrated to show negligible effect on the electronic,optical, and catalytic behaviors when compared to the experimental bulky ligands, since the main optical transition and the catalytic active sites mainly derive from the metals,w hile the contributions from the side groups of the ligands are less significant. It can be seen that the main peak (a peak, 2.04 eV) deviates from the experimental 2.20 eV due to the PBE (Perdew-Burke-Ernzerhof) function, which underestimates the excitation energy.T he main peak primarily comes from HOMO !…”