The acidic gases such as SO2,NOx,H2 S and CO2 are typical harmful pollutants and greenhouse gases in the atmosphere,which are also the main sources of PM2.5.The most widely used method of treating these gas molecules ...The acidic gases such as SO2,NOx,H2 S and CO2 are typical harmful pollutants and greenhouse gases in the atmosphere,which are also the main sources of PM2.5.The most widely used method of treating these gas molecules is to capture them with different adsorption materials,i.e.,metal and nonmetallic materials such as MnO2,MoS2 and carbon-based materials.And doping transition metal atoms in adsorption materials are beneficial to the gas adsorption process.The first-principles calculation is a powerful tool for studying the adsorption properties of contaminant molecules on different materials at the molecular and atomic levels to understand surface adsorption reactions,adsorption reactivity,and structureactivity relationships which can provide theoretical guidance for laboratory researches and industrial applications.This review introduces the adsorption models and surface properties of these gas molecules on metal and nonmetallic surfaces by first-principles calculation in recent years.The purpose of this review is to provide the theoretical guidance for experimental research and industrial application,and to inspire scientists to benefit from first-principles calculation for applying similar methods in future work.展开更多
For a cubic algebraic extension K of Q, the behavior of the ideal counting function is considered in this paper. More precisely, let aK（n） be the number of integral ideals of the field K with norm n, we prove an asy...For a cubic algebraic extension K of Q, the behavior of the ideal counting function is considered in this paper. More precisely, let aK（n） be the number of integral ideals of the field K with norm n, we prove an asymptotic formula for the sum.展开更多
Let K be an algebraic number field of finite degree over the rational field ~, and aK （n） the number of integral ideals in K with norm n. When K is a Galois extension over Q, many authors contribute to the integral ...Let K be an algebraic number field of finite degree over the rational field ~, and aK （n） the number of integral ideals in K with norm n. When K is a Galois extension over Q, many authors contribute to the integral power sums of aK（n）,This paper is interested in the distribution of integral ideals concerning different number fields. The author is able to establish asymptotic formulae for the convolution sumwhere K1 and K2 are two different quadratic fields.展开更多
基金supported by the National Nature Science Foundation of China(No.51778383)Sichuan Science and Technology Program(No.2019YFS0500)
文摘The acidic gases such as SO2,NOx,H2 S and CO2 are typical harmful pollutants and greenhouse gases in the atmosphere,which are also the main sources of PM2.5.The most widely used method of treating these gas molecules is to capture them with different adsorption materials,i.e.,metal and nonmetallic materials such as MnO2,MoS2 and carbon-based materials.And doping transition metal atoms in adsorption materials are beneficial to the gas adsorption process.The first-principles calculation is a powerful tool for studying the adsorption properties of contaminant molecules on different materials at the molecular and atomic levels to understand surface adsorption reactions,adsorption reactivity,and structureactivity relationships which can provide theoretical guidance for laboratory researches and industrial applications.This review introduces the adsorption models and surface properties of these gas molecules on metal and nonmetallic surfaces by first-principles calculation in recent years.The purpose of this review is to provide the theoretical guidance for experimental research and industrial application,and to inspire scientists to benefit from first-principles calculation for applying similar methods in future work.
文摘For a cubic algebraic extension K of Q, the behavior of the ideal counting function is considered in this paper. More precisely, let aK（n） be the number of integral ideals of the field K with norm n, we prove an asymptotic formula for the sum.
基金supported by the Fundamental Research Funds for the Central Universities(No.14QNJJ004)
文摘Let K be an algebraic number field of finite degree over the rational field ~, and aK （n） the number of integral ideals in K with norm n. When K is a Galois extension over Q, many authors contribute to the integral power sums of aK（n）,This paper is interested in the distribution of integral ideals concerning different number fields. The author is able to establish asymptotic formulae for the convolution sumwhere K1 and K2 are two different quadratic fields.
