This paper studies the prescribed contact angle boundary value problem of a certain type of mean curvature equation.Applying the maximum principle and the moving frame method and based on the location of the maximum p...This paper studies the prescribed contact angle boundary value problem of a certain type of mean curvature equation.Applying the maximum principle and the moving frame method and based on the location of the maximum point,the boundary gradient estimation of the solutions to the equation is obtained.展开更多
In a search for triangle-free graphs with arbitrarily large chromatic number,Mycielski developed a graph transformation that transforms a graph G into a new graph(G),which is called the Mycielskian of G.A generalisati...In a search for triangle-free graphs with arbitrarily large chromatic number,Mycielski developed a graph transformation that transforms a graph G into a new graph(G),which is called the Mycielskian of G.A generalisation of this transformation is the generalised Mycielskian,denoted bym(G),where m is a positive integer.This paper investigates the hamiltonicity and some matching-related properties of generalized Mycielskianm(G).展开更多
Rapid industrialization has accordingly increased the demand for energy.This has resulted in the increasingly severe energy and environmental crises.Hydrogen production,based on the photocatalytic water splitting driv...Rapid industrialization has accordingly increased the demand for energy.This has resulted in the increasingly severe energy and environmental crises.Hydrogen production,based on the photocatalytic water splitting driven by sunlight,is able to directly convert solar energy into a usable or storable energy resource,which is considered to be an ideal alternative energy source to assist in solving the energy crisis and environmental pollution.Unfortunately,the hydrogen production efficiency of single phase photocatalysts is too low to meet the practical requirements.The construction of heterostructured photocatalyst systems,which are comprised of multiple components or multiple phases,is an efficient method to facilitate the separation of electron‐hole pairs to minimize the energy‐waste,provide more electrons,enhance their redox ability,and hence improve the photocatalytic activity.We summarize the recent progress in the rational design and fabrication of nanoheterostructured photocatalysts.The heterojunction photocatalytic hydrogen generation systems can be divided into type‐I,type‐II,pn‐junction and Z‐scheme junction,according to the differences in the transfer of the photogenerated electrons and holes.Finally,a summary and some of the challenges and prospects for the future development of heterojunction photocatalytic systems are discussed.展开更多
Co0.85Se magnetic nanoparticles supported on carbon nanotubes were prepared by a one‐step hydrothermal method.The saturation magnetization and coercivity of the MWCNTs/Co0.85Se nanocomposites increased due to a decre...Co0.85Se magnetic nanoparticles supported on carbon nanotubes were prepared by a one‐step hydrothermal method.The saturation magnetization and coercivity of the MWCNTs/Co0.85Se nanocomposites increased due to a decrease in the Co0.85Se nanoparticle size in the MWCNTs/Co0.85Se nanocomposites and an increase in the distance between the Co0.85Se nanoparticles,which increased the specific surface area,thereby benefiting the electrocatalytic performance of the catalyst.Moreover,the MWCNTs/Co0.85Se nanocomposites exhibited an excellent hydrogen evolution reaction performance owing to the presence of MWCNTs,which enhanced the mass transport during the electrocatalytic reactions.Furthermore,in an acid solution,the 30 wt%MWCNTs/Co0.85Se composite catalyst exhibited a current density of 10 mA cm^‒2 at a small overpotential of 266 mV vs.RHE,a small Tafel slope of 60.5 mV dec^‐1,and good stability for HER.展开更多
基金supported by the National Natural Science Foundation of China (No.12061078)。
文摘This paper studies the prescribed contact angle boundary value problem of a certain type of mean curvature equation.Applying the maximum principle and the moving frame method and based on the location of the maximum point,the boundary gradient estimation of the solutions to the equation is obtained.
文摘In a search for triangle-free graphs with arbitrarily large chromatic number,Mycielski developed a graph transformation that transforms a graph G into a new graph(G),which is called the Mycielskian of G.A generalisation of this transformation is the generalised Mycielskian,denoted bym(G),where m is a positive integer.This paper investigates the hamiltonicity and some matching-related properties of generalized Mycielskianm(G).
基金supported by the National Natural Science Foundation of China (51572253,21271165)Scientific Research Grant of Hefei Science Center of CAS (2015SRG-HSC048)Cooperation between NSFC and Netherlands Organization for Scientific Research (51561135011)~~
文摘Rapid industrialization has accordingly increased the demand for energy.This has resulted in the increasingly severe energy and environmental crises.Hydrogen production,based on the photocatalytic water splitting driven by sunlight,is able to directly convert solar energy into a usable or storable energy resource,which is considered to be an ideal alternative energy source to assist in solving the energy crisis and environmental pollution.Unfortunately,the hydrogen production efficiency of single phase photocatalysts is too low to meet the practical requirements.The construction of heterostructured photocatalyst systems,which are comprised of multiple components or multiple phases,is an efficient method to facilitate the separation of electron‐hole pairs to minimize the energy‐waste,provide more electrons,enhance their redox ability,and hence improve the photocatalytic activity.We summarize the recent progress in the rational design and fabrication of nanoheterostructured photocatalysts.The heterojunction photocatalytic hydrogen generation systems can be divided into type‐I,type‐II,pn‐junction and Z‐scheme junction,according to the differences in the transfer of the photogenerated electrons and holes.Finally,a summary and some of the challenges and prospects for the future development of heterojunction photocatalytic systems are discussed.
文摘Co0.85Se magnetic nanoparticles supported on carbon nanotubes were prepared by a one‐step hydrothermal method.The saturation magnetization and coercivity of the MWCNTs/Co0.85Se nanocomposites increased due to a decrease in the Co0.85Se nanoparticle size in the MWCNTs/Co0.85Se nanocomposites and an increase in the distance between the Co0.85Se nanoparticles,which increased the specific surface area,thereby benefiting the electrocatalytic performance of the catalyst.Moreover,the MWCNTs/Co0.85Se nanocomposites exhibited an excellent hydrogen evolution reaction performance owing to the presence of MWCNTs,which enhanced the mass transport during the electrocatalytic reactions.Furthermore,in an acid solution,the 30 wt%MWCNTs/Co0.85Se composite catalyst exhibited a current density of 10 mA cm^‒2 at a small overpotential of 266 mV vs.RHE,a small Tafel slope of 60.5 mV dec^‐1,and good stability for HER.
