DFT results of the simulation of model reforming catalysts: a) calculated binding energy (including Pt-Pt cohesion and metal-support interaction) of Pt_n clusters, isolated or supported on γ-Al₂O₃ [25]; the most stable Pt₃ cluster supported on chlorinated γ-Al₂O₃ is shown in inset; b) effect of hydrogen pressure on the morphology change of supported Pt₁₃ [33]; c) relative stabilities of adsorbed ethylene (H₂CCH₂) and ethylidyne (CCH₃) on Pt₁₃ supported cluster at various J = P(H₂)/P(C₂H₆) values; insets: illustrations of adsorbed ethylene and ethylidyne at J = 1 [42]; d) models of supported PtSn catalysts, without (top) or with (bottom) indium incorporated in the support [23].