The copper-based electrocatalysts feature attractive potentials of converting CO_(2)into multi-carbon(C_(2+))products,while the instability of Cu-O often induces the reduction of Cu^(+)/Cu^(0) catalytic sites at the c...The copper-based electrocatalysts feature attractive potentials of converting CO_(2)into multi-carbon(C_(2+))products,while the instability of Cu-O often induces the reduction of Cu^(+)/Cu^(0) catalytic sites at the cathode and refrains the capability of stable electrolysis especially at high powers.In this work,we developed an Erbium(Er)oxide-modified Cu(Er-O-Cu)catalyst with enhanced covalency of Cu-O and more stable active sites.The f-p-d coupling strengthens the covalency of Cu-O,and the stability of Cu^(+)sites under electroreduction condition is critical for promoting the C-C coupling and improving the C_(2+)product selectivity.As a result,the Er-O-Cu sites exhibited a high Faradaic efficiency of C_(2+)products(FEC_(2+))of 86%at 2200 mA cm^(-2),and a peak partial current density of|j_(C2+)|of 1900 mA cm^(-2),comparable to the best reported values for the CO_(2)-to-C_(2+)electroreduction.The CO_(2)electrolysis by the Er-O-Cu sites was further scaled up to 100 cm^(2)to achieve high-power(~200 W)electrolysis with ethylene production rate of 16 mL min^(-1).展开更多
Convexity and generalized convexity play important roles in optimization theory. With the development of programming problem, there has been a growing interest in the higher-order dual problem and a lot of related gen...Convexity and generalized convexity play important roles in optimization theory. With the development of programming problem, there has been a growing interest in the higher-order dual problem and a lot of related generalized convexities are given. In this paper, we give the convexity of (F, α ,p ,d ,b , φ )β vector-pseudo- quasi-Type I and formulate a higher-order duality for minimax fractional type programming involving symmetric matrices, and give the weak, strong and strict converse duality theorems under the condition of higher-order (F, α ,p ,d ,b , φ )β vector-pseudoquasi-Type I.展开更多
基金the National Key Research and Development Program of China(2024YFB4106400,2024YFB4106401)the National Natural Science Foundation of China(22025502,U23A20552)。
文摘The copper-based electrocatalysts feature attractive potentials of converting CO_(2)into multi-carbon(C_(2+))products,while the instability of Cu-O often induces the reduction of Cu^(+)/Cu^(0) catalytic sites at the cathode and refrains the capability of stable electrolysis especially at high powers.In this work,we developed an Erbium(Er)oxide-modified Cu(Er-O-Cu)catalyst with enhanced covalency of Cu-O and more stable active sites.The f-p-d coupling strengthens the covalency of Cu-O,and the stability of Cu^(+)sites under electroreduction condition is critical for promoting the C-C coupling and improving the C_(2+)product selectivity.As a result,the Er-O-Cu sites exhibited a high Faradaic efficiency of C_(2+)products(FEC_(2+))of 86%at 2200 mA cm^(-2),and a peak partial current density of|j_(C2+)|of 1900 mA cm^(-2),comparable to the best reported values for the CO_(2)-to-C_(2+)electroreduction.The CO_(2)electrolysis by the Er-O-Cu sites was further scaled up to 100 cm^(2)to achieve high-power(~200 W)electrolysis with ethylene production rate of 16 mL min^(-1).
文摘Convexity and generalized convexity play important roles in optimization theory. With the development of programming problem, there has been a growing interest in the higher-order dual problem and a lot of related generalized convexities are given. In this paper, we give the convexity of (F, α ,p ,d ,b , φ )β vector-pseudo- quasi-Type I and formulate a higher-order duality for minimax fractional type programming involving symmetric matrices, and give the weak, strong and strict converse duality theorems under the condition of higher-order (F, α ,p ,d ,b , φ )β vector-pseudoquasi-Type I.
