多目标博弈问题的求解算法

针对多个局中人多个支付函数的多目标博弈问题,研究每个局中人支付函数均衡协调最优值的存在性.证明了博弈系统在均衡协调意义下均衡解的存在性,并给出了求解多目标博弈问题的均衡协调算法.实例分析检验了算法的合理性和有效性.     

量子化学奠基人之一——查尔斯.阿尔弗雷德.库尔森

查尔斯·阿尔弗雷德·库尔森是量子化学领域的杰出研究者,也是“英国量子化学学派”的领导者。他将分子轨道理论应用于化学键、分子电子结构和分数价概念,并发展了许多数学技术来解决化学和物理问题;他的著作《原子价》被认为是用于量子化学教学的杰作。库尔森无疑为提升量子化学在当今化学中的作用做出了巨大贡献。本文就库尔森的生平、求学经历及其对量子化学的贡献进行了论述。     

Surfactant-mediated wetting and spreading: Recent advances and applications

Surfactant-mediated wetting and spreading are ubiquitous. Understanding of these phenomena in-depth allows precise tailoring of wetting performance which can contribute to global challenges in the food supply chain, healthcare, ecology and industrial processes. The first part of this review shows how surfactants can be used to improve the efficacy of fertilisers and pesticides in agriculture, enhanced oil recovery, treatment of lung diseases and extinguishing fires involving flammable liquids. The second part provides analysis of recent studies on wetting and spreading over solid substrates. It includes discussion on the effect of surfactants on the outcome of the impact of liquid drops, the wetting state after impact, autophobic effect and spreading kinetics for both partial and complete wetting, including superspreading. Perspectives of future development in the area of surfactant-assisted wetting and spreading on solid substrates are outlined.     

PM3级别上的最大重迭对称性分子轨道

本文提出了PM3级别上的最大重迭对称性分子轨道计算方案,采用通常的半经验分子轨道方法PM3级别中完全相同的参数,计算了各种分子的几何参数、电离能等,所得结果与实验值及PM3半经验分子轨道方法计算结果相符,说明该计算方案是可行的。同时,由于提出的计算方案过程简单,更易推广使用到从头算方法难以解决的大分子体系和超分子体系的结构和性质研究。     

轨道交通线路全断面车载式动态检测系统研究

为及时掌握轨道交通线路全断面尺寸及发展趋势,提出了融合激光扫描测量和高精度惯性基准测量技术的车载式全断面检测系统方案.详细分析了如何利用车体运动模型和卡尔曼滤波算法建立精确的动态测量基准,对振动误差进行补偿,并借助数学仿真讨论了方案的可行性.     

A measure of mutual complete dependence in discrete variables through subcopula

Siburg and Stoimenov [12] gave a measure of mutual complete dependence of continuous variables which is different from Spearman's ρ and Kendall's τ. In this paper, a similar measure of mutual complete dependence is applied to discrete variables. Also two measures for functional relationships, which are not bijection, are investigated. For illustration of our main results, several examples are given.     

New Concepts for Designing d10‐M(L)n Catalysts: d Regime,s Regime and Intrinsic Bite‐Angle Flexibility

Our aim is to understand the electronic and steric factors that determine the activity and selectivity of transition‐metal catalysts for cross‐coupling reactions. To this end, we have used the activation strain model to quantum‐chemically analyze the activity of catalyst complexes d¹⁰‐M(L)_n toward methane C?H oxidative addition. We studied the effect of varying the metal center M along the nine d¹⁰ metal centers of Groups 9, 10, and 11 (M=Co^?, Rh^?, Ir^?, Ni, Pd, Pt, Cu⁺, Ag⁺, Au⁺), and, for completeness, included variation from uncoordinated to mono‐ to bisligated systems (n=0, 1, 2), for the ligands L=NH₃, PH₃, and CO. Three concepts emerge from our activation strain analyses: 1) bite‐angle flexibility, 2) d‐regime catalysts, and 3) s‐regime catalysts. These concepts reveal new ways of tuning a catalyst’s activity. Interestingly, the flexibility of a catalyst complex, that is, its ability to adopt a bent L‐M‐L geometry, is shown to be decisive for its activity, not the bite angle as such. Furthermore, the effect of ligands on the catalyst’s activity is totally different, sometimes even opposite, depending on the electronic regime (d or s) of the d¹⁰‐M(L)_n complex. Our findings therefore constitute new tools for a more rational design of catalysts.     

A Theoretical Study on the Photochromic Mechanism of 1-Phenyl-3-methyl-4-（6-hydro-4-amino-5-sulfo-2,3-pyrazine）-pyrazole-5-one

The photochromic mechanism of 1-phenyl-3-methyl-4-（6-hydro-4-amino-5-sulfo-2,3- pyrazine）-pyrazole-5-one has been investigated using the density functional theory（DFT）. The solvent effect is simulated using the polarizable continuum model（PCM） of the self-consistent reaction field theory. According to the crystal structure of the title compound, an intramolecular proton transfer mechanism from enol to keto form was proposed to interpret its photochromism. Bader＇s atom-in-molecule（AIM） theory is used to investigate the nature of hydrogen bonds and ring structures. Time-dependent density functional theory（TDDFT） calculation results show that the photochromic process from enol to keto form is reasonable. The conformation and molecular orbital analysis of enol and keto forms explain why only intramolecular proton transfer is possible. The results from analyzing the energy and dipole moments of enol form, transition state and keto form in the gas phase and in different solvents have been used to assess the stability of the title compound.     

Theoretical investigation of the molecular structure,vibrational spectra,and molecular docking of tramadol using density functional theory

The optimized molecular structures, harmonic vibrational wavenumbers, and the corresponding vibrational assignments of (1S,2S)-tramadol and (1R,2R)-tramadol are computationally examined using the B3LYP density functional theory method together with the standard 6–311++G(d,p) and def2-TVZP basis sets. The optimized structures show that phenolic rings of both 1R,2R and 1S,2S tramadol adopt planar geometry, which are slightly distorted due to the substitution at the meta-position; and the six-membered cyclohexane adopts a slightly distorted chair conformation. The 1S,2S enantiomer is energetically more favorable than 1R,2R with the energy differences of 1.32 and 1.03 kcal/mol obtained at B3LYP/6–311++G(d,p) and B3LYP/Def2-TVZP levels, respectively. The analysis of the binding pocket in the silico molecular docking with the m-opioid receptor shows that it originated two clusters with the 1S,2S enantiomer and one cluster with the 1R,2R enantiomer of tramadol. The results point to a more stable complex of the m-opioid receptor with the 1R,2R enantiomer of tramadol.