从范德华力理论看Grunwald-Winstein方程中的Y因子

应用范德华力理论,导出了动力学介质效应公式.以叔丁基氯在水—乙醇、水—甲醇、水—二氧六环和水—丙酮体系中的溶剂解反应为研究对象,分析、讨论了Grunwald-Winstein方程中Y因子的具体内容,理论计算的Y值与文献值具有较好的一致性.     

Molecular Recognition of Carbonyl Compounds by Uranyl-salophen Based Neutral Receptors Driven by Van Der Waals Forces

The complexation of the salophen-uranyl metallocleft 2 and of its half-cleft analogue 3 with enones and other carbonyl compounds was assessed in chloroform by UV-Vis titration and, occasionally, by FT-IR measurements. Complexes with receptors 2 and 3 are in all cases more stable than those with the control unsubstituted uranyl-salophen 1 , showing that in addition to the primary binding force provided by coordination of the carbonyl oxygen to the uranium, a significant driving force for complexation, typically in the range of 2-3 kcal/mol, results from van der Waals interactions of the guest with the aromatic walls. Replacement of the phenyl group in 3 with larger aromatic residues to give 4 and 5 , led to enhanced complex stabilities, due to more extended contact surfaces between host and guest.     

关于Van Der Corput不等式加强的进一步改进

利用传统方法,将Van Der Corput不等式的一个加强式做了改进,建立了Van Der Corput不等式两个更强的加强式,它们优于现有的众多结论.     

Application of Homotopy Perturbation Method and Variational Iteration Method to Nonlinear Oscillator Differential Equations

In this paper, homotopy perturbation method (HPM) and variational iteration method (VIM) are applied to solve nonlinear oscillator differential equations. Illustrative examples reveal that these methods are very effective and convenient for solving nonlinear differential equations. Moreover, the methods do not require linearization or small perturbation. Comparisons are also made between the exact solutions and the results of the homotopy perturbation method and variational iteration method in order to prove the precision of the results obtained from both methods mentioned.     

VanDerCorput不等式的推广

利用函数单凋性理论对VanDerCorput不等式进行了研究，从而建立了一个新的VanDerCorput型不等式．它不仅改进了已有的相关结果，而且形式简洁；同时表明函数单调性理论在不等式研究中具有重要的作用．     

High-throughput Synthesis of Solution-Processable van der Waals Heterostructures through Electrochemistry

Two-dimensional van der Waals heterostructures (2D vdWHs) have recently gained widespread attention because of their abundant and exotic properties, which open up many new possibilities for next-generation nanoelectronics. However, practical applications remain challenging due to the lack of high-throughput techniques for fabricating high-quality vdWHs. Here, we demonstrate a general electrochemical strategy to prepare solution-processable high-quality vdWHs, in which electrostatic forces drive the stacking of electrochemically exfoliated individual assemblies with intact structures and clean interfaces into vdWHs with strong interlayer interactions. Thanks to the excellent combination of strong light absorption, interfacial charge transfer, and decent charge transport properties in individual layers, thin-film photodetectors based on graphene/In₂Se₃ vdWHs exhibit great promise for near-infrared (NIR) photodetection, owing to a high responsivity (267 mA W⁻¹), fast rise (72 ms) and decay (426 ms) times under NIR illumination. This approach enables various hybrid systems, including graphene/In₂Se₃, graphene/MoS₂ and graphene/MoSe₂ vdWHs, providing a broad avenue for exploring emerging electronic, photonic, and exotic quantum phenomena.     

范德瓦尔斯气体的各种准静态过程

应用热力学第一定律对范围德瓦尔斯气体在各种准静态过程中所做的功,吸收或放出的热量以及内能的变化进行讨论,得出各冷静态过程中功、热量和内能的求解表达式,并与理想气体进行比较。     

应用KPK力学方法研究落体的运动

利用动量流强度,分析了在阻尼介质中的物体包括高空跳伞运动员的运动规律。首先介绍了德国卡尔斯鲁厄物理教程的力学体系,该体系将动量和速度定为力学的中心物理量,根据力的定义式与电流的定义式的类比把力看成动量流强度,利用动量的连续性方程来解决力学问题。接着运用卡尔斯鲁厄物理教程的力学方法计算了物体在空气中下落时速度变化规律,继而定性地分析了具有水平运动速度的高空跳伞运动员在达到第一收尾速率之前会有一个极小速率的原因,说明卡尔斯鲁厄物理教程的力学体系解决力学问题不仅是可行的,而且是有效的,更能让人们在新的高度认识物理学。     

The collision efficiency of spherical dioctyl phthalate aerosol particles in the Brownian coagulation

The collision efficiency in the Brownian coagulation is investigated. A new mechanical model of collision between two identical spherical particles is proposed, and a set of corresponding collision equations is established. The equations are solved numerically, thereby obtaining the collision efficiency for the monodisperse dioctyl phthalate spherical aerosols with diameters ranging from 100 to 760 nm in the presence of van der Waals force and the elastic deformation force. The calculated collision efficiency, in agreement with the experimental data qualitatively, decreases with the increase of particle diameter except a small peak appearing in the particles with a diameter of 510 nm. The results show that the interparticle elastic deformation force cannot be neglected in the computation of particle Brownian coagulation. Finally, a set of new expressions relating collision efficiency to particle diameter is established.