Acquiring descriptors to guide catalyst design is an ideal but challenging topic in the field of heterogeneous catalysis.Herein,the adsorption energy of H^(*)(E_(ad)(H))has been established to describe the catalytic activity of dual-active sites of single-atom metals and frustrated Lewis pairs(FLPs)on the porous nanorod of CeO_(2)surface(M_1/PN-CeO_(2))for reverse water-gas shift(RWGS)reaction.H_(2)and CO_(2)molecules are adsorbed and activated on single-atom metals and FLP sites,respectively,facilitating the RWGS reaction through the H^(*)spillover from single-atom metals to PN-CeO_(2)supports.Mechanistic investigations illustrate that the generation of H^(*)on the single-atom metals and subsequent migration towards FLP are critical steps,determining the performance of M_(1)/PN-CeO_(2)for RWGS reaction.A volcanic correlation is observed between E_(ad)(H)and catalytic activity of M_(1)/PN-CeO_(2)for RWGS.The Pt_(1)/PN-CeO_(2)catalysts with a minimal deviation of-0.01 eV from the experimentally optimized E_(ad)(H)of-1.88 eV,exhibited an exceptional turnover frequency of 33,605 h^(-1)and surpassed a turnover number of 20,000,000 for each Pt active site during a period of 650 h at 600°C.These findings could pave the way for the rational design of highly active and durable catalysts for RWGS reaction.
In this paper,{z_(n)}_(n=1)^(∞)acts as an interpolating sequence for Q_(p)∩H^(∞).An analytic function f is constructed,and f(z_(n))=∑_(j)λ_(j)f_(z_(j))(z_(n))=λ_(n),n=1,2,…for any{λ_(n)}∈l~∞,wheref and{λn}∈l^(∞),where f and f_(zj)belong to Q_(p)∩H^(∞).As a result,the study achieves a comparable outcome for F(p,p-2,s)∩H^(∞).
