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多相椭圆问题的局部高阶可积性
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作者 沈毅 马梦璐 佟玉霞 《广西大学学报(自然科学版)》 CAS 北大核心 2024年第5期1120-1125,共6页
为了研究Musielak Orlicz Sobolev空间上与多相泛函相对应的非一致椭圆方程,给出适当的检验函数,利用Young不等式、Sobolev Poincaré不等式、Gehring引理等,建立解的Caccioppoli不等式和逆H lder不等式,进而获得解的局部高阶可积性。
关键词 高阶可积性 椭圆问题 多相泛函
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Design of p-n homojunctions in metal-free carbon nitride photocatalyst for overall water splitting 被引量:7
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作者 Gang Zhao Shuhua Hao +3 位作者 Jinghua Guo Yupeng Xing Lei Zhang Xijin Xu 《Chinese Journal of Catalysis》 SCIE EI CAS CSCD 2021年第3期501-509,共9页
Two-dimensional(2D)carbon nitride(CN)photocatalysts are attracting extensive attention owing to their excellent photocatalytic properties.In this study,we successfully prepared CN materials with heterogeneous structur... Two-dimensional(2D)carbon nitride(CN)photocatalysts are attracting extensive attention owing to their excellent photocatalytic properties.In this study,we successfully prepared CN materials with heterogeneous structures via hydrothermal treatment,high-temperature roasting,ball milling,sintering,and other processes.Benefitting from interface interactions in hybrid architectures,the CN photocatalysts exhibited high photocatalytic activity.The rate of hydrogen production using these CN photocatalysts reached 17028.82μmol h^(−1)g^(−1),and the apparent quantum efficiency was 11.2%at 420 nm.The ns-level time-resolved photoluminescence(PL)spectra provided information about the time-averaged lifetime of fluorescence charge carriers;the lifetime of the charge carriers causing the fluorescence of CN reached 9.99 ns.Significantly,the CN photocatalysts displayed satisfactory results in overall water splitting without the addition of sacrificial agents.The average hydrogen and oxygen production rates were 270.95μmol h^(−1)g^(−1)and 115.21μmol h^(−1)g^(−1)in 7 h,respectively,which were promising results for the applications of the catalysts in overall water splitting processes.We investigated the high efficiency of the prepared CN photocatalysts via a series of tests(UV-vis diffuse reflectance spectroscopy,photocurrent response measurements,PL emission spectroscopy,time-resolved PL spectroscopy,and Brunauer-Emmett-Teller analysis).Furthermore,the Mott-Schottky plot and current-voltage curve were acquired via electrochemical tests.The fabricated CN photocatalyst had a small p-n junction in its heterogeneous structure,which further enhanced its photocatalytic efficiency.Therefore,this work can promote the development of CN photocatalysts. 展开更多
关键词 2D Metal-free photocatalyst Carbon nitride Overall water splitting Time-resolved photoluminescence SPECTRA Density-functional theory Heterogeneous structure
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Theoretical insight into the selectivities of copper-catalyzing heterogeneous reduction of carbon dioxide 被引量:1
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作者 Xitong Sun Xiaoming Cao P.Hu 《Science China Chemistry》 SCIE EI CAS CSCD 2015年第4期553-564,共12页
The chemical reduction of carbon dioxide(CO2) has always drawn intensive attentions as it can not only remove CO2 which is the primary greenhouse gas but also produce useful fuels. Industrial synthesis of methanol uti... The chemical reduction of carbon dioxide(CO2) has always drawn intensive attentions as it can not only remove CO2 which is the primary greenhouse gas but also produce useful fuels. Industrial synthesis of methanol utilizing copper-based catalysts is a commonly used process for CO2 hydrogenation. Despite extensive efforts on improving its reaction mechanism by identifying the active sites and optimizing the operating temperature and pressure, it is still remains completely unveiled. The selectivities of CO2 electroreduction at copper electrode could mainly be towards carbon monoxide(CO), formic acid(HCOOH), methane(CH4) or ethylene(C2H4), which depends on the chemical potentials of hydrogen controlled by the applied potential. Interestingly, methanol could hardly be produced electrochemically despite utilizing metallic copper as catalysts in both processes. Moreover, the mechanistic researches have also been performed aiming to achieve the higher selectivity towards more desirable higher hydrocarbons. In this work, we review the present proposals of reaction mechanisms of copper catalyzing CO2 reduction in industrial methanol synthesis and electrochemical environment in terms of density functional theory(DFT) calculations, respectively. In addition, the influences of the simulation methods of solvation and electrochemical model at liquid-solid interface on the selectivity are discussed and compared. 展开更多
关键词 methanol synthesis electrocatalytic reduction of CO2 CO2 hydrogenation SELECTIVITY
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