Hyperbolic Schrödinger equation

Clifford algebra corresponds to Minkwoski space. The coupling between real object particles and light quantums can be discussed by Minkowski space’s directional strangeness. We introduce Galilei transfomation and Schr?dinger equation into Minkowski space and give a geometrical explanation for classical quantum theory.     

金属离子掺杂对TiO2光催化性能的影响

TiO₂光催化反应过程涉及光生电荷、电荷迁移、电荷在TiO₂表面的反应和溶液体相反应4个顺序相接并相互影响的步骤.在TiO₂中掺杂金属离子对以上4个步骤均有重要影响,合理的掺杂可有效地提高其光催化性能.本文综合了国内外此方面的最新研究成果,从提高TiO₂光催化性能和优化光催化反应的角度出发,在材料吸光能力、电荷扩散、表面反应、粒径和晶型等方面,全面地分析总结了金属离子掺杂的影响效果和规律性认识,并对TiO₂基光催化材料的金属离子掺杂改性研究的未来发展方向提出了建议.文中还简要介绍了相关的掺杂方法和材料表征手段.     

表面活性剂与金属离子的相互作用

烷基硫酸盐(CnS)的抗盐能力很差,在其中引进氧乙烯基(Eo)以后,形成的烷基聚氧乙烯基醚硫酸盐(CnEnS)的抗盐能力明显增强。把CnEnS加到CnS中,形成混合表面活性剂的低温抗盐能力也将明显改善。Doscher、Schott等人认为,CnEnS中的Eo与高价金属阳离子形成了一种“复合物”,这使得CnEnS具有很强的抗盐能力。Chiu则没有发现这种“复合物”。显然,了解CnEmS的抗盐机理,对于该类表面活性剂的理论研究和实际应用,都有重要的意义。     

氧乙烯基对胶团化过程热力学函数的影响

利用表面张力法测定了各种条件下C_8H_(17)(OC_2H_4)_n-SO_4Na(C_8E_nS; n=0,1,3)的cmc, 并计算了胶团的反离子结合度、胶团化过程中的自由能(ΔG°)和熵变(ΔS°)。结果发现: C_8E_nS的cmc随n的增加而下降, 并且下降的幅度逐渐变小; 胶团的反离子结合度也随n的增加而减小; ΔS°随n的增加而增加, 但增加的幅度逐渐变小, 对于离子和非离子表面活性剂都是如此。人们认为这是由于氧乙烯基(EO)具有亲水和疏水二重性, 随着EO数的增加, EO的疏水性相对减弱而亲水能力将相对增加所致。EO的这个特点, 是它在表面活性剂分子中具有特殊表现的根本原因。     

Investigation of capacitance storage and cyclic voltammetry for the electrochemical oxidation of phenol on iridium and lead oxide electrodes

Journal of Solid State Electrochemistry - The capacitance storage and cyclic voltammetry (CV) of electrochemical oxidation of phenol were investigated using IrO2–Ta2O5/Ti and β-PbO2/Ti...     

COUPLING EFFECTS OF VOID SHAPE AND VOID SIZE ON THE GROWTH OF AN ELLIPTIC VOID IN A FIBER-REINFORCED HYPER-ELASTIC THIN PLATE

The growth of a prolate or oblate elliptic micro-void in a fiber reinforced anisotropic incompressible hyper-elastic rectangular thin plate subjected to uniaxial extensions is studied within the framework of finite elasticity. Coupling effects of void shape and void size on the growth of the void are paid special attention to. The deformation function of the plate with an isolated elliptic void is given, which is expressed by two parameters to solve the differential equation. The solution is approximately obtained from the minimum potential energy principle. Deformation curves for the void with a wide range of void aspect ratios and the stress distributions on the surface of the void have been obtained by numerical computation. The growth behavior of the void and the characteristics of stress distributions on the surface of the void are captured. The combined effects of void size and void shape on the growth of the void in the thin plate are discussed. The maximum stresses for the void with different sizes and different void aspect ratios are compared.     

Microplasma electrochemistry (MIPEC) strategy for accelerating the synthesis of metal organic frameworks at room temperature

Metal organic frameworks(MOFs) are a kind of promising materials in many applications,while the fast and controllable synthesis of MOFs is still challenging.Here,taking HKUST-1 as illustration,a microplasma electrochemistry(MIPEC) strategy was developed to accelerate the synthesis process of MOFs with micro-plasma acting as cathode.Treating the HKUST-1 precursor solution with micro-plasma cathode could not only transfer the electrons into the solution leading to the deprotonation effect,but also generate radical species to trigger and accelerate the nucleation and growth of MOFs at the plasmaliquid interface.Thus,uniform and nanosize MOFs could be prepared within minutes.The obtained MOFs show similar excellent uranium adsorption properties compared with those obtained by other method,with a highly adsorption capability of uranium with 550 mg/g in minutes.The novel MIPEC strategy developed in this work provides an alternative for controllable synthesis of MOFs,and especially has potential application in accelerating traditional organic synthesis.     

Nonlinear singular traveling waves in a slightly compressible thermo-hyperelastic cylindrical shell

Nonlinear Dynamics - In this paper, we present a novel methodology for nonlinear dynamic analysis of chemical processes that are posed as differential–algebraic equations (DAE) systems. With...     

DYNAMIC CHARACTERISTICS IN INCOMPRESSIBLE HYPERELASTIC CYLINDRICAL MEMBRANES

In this paper, the dynamic characteristics are examined for a cylindrical membrane composed of a transversely isotropic incompressible hyperelastic material under an applied uniform radial constant pressure at its inner surface. A second-order nonlinear ordinary differential equation that approximately describes the radial oscillation of the inner surface of the membrane with respect to time is obtained. Some interesting conclusions are proposed for different materials, such as the neo-Hookean material, the Mooney-Rivlin material and the Rivlin-Saunders material. Firstly, the bifurcation conditions depending on the material parameters and the pressure loads are determined. Secondly, the conditions of periodic motion are presented in detail for membranes composed of different materials. Meanwhile, numerical simulations are also provided.     

一类二阶三点非齐次边值问题正解的存在性

本文讨论了一类二阶三点非齐次边值问题正解的存在性。利用Schander不动点定理，得到了正解的一个存在性结果