On Hr(curl,Ω) estimates for a Maxwell type system in convex domains

In bounded convex domains, the regularity of a vector field u with its $\mathrm{div}\mathbf{u}$, $\mathrm{curl}\mathbf{u}$ in $L^r$ space and the tangential component or the normal component of u over the boundary in $L^r$ space, is established for $1<r<\infty$. As an application, we derive an $H^r(\mathrm{curl},\mathrm{\Omega })$ estimate for solutions to a Maxwell type system with an inhomogeneous boundary condition in convex domains. In contrast to the well-posed region of r in the space $H^r(\mathrm{curl},\mathrm{\Omega })$ for the Maxwell type system in Lipschitz domains given by Kar and Sini (2016) [16], we extend the well-posed region to be optimal.     

Hudson模型适用性及储层微观建模应用*

为明确裂缝间相互作用对各向异性的影响，本文以Hudson模型为例分析了裂缝密度、裂缝倾角对地震波波场、弹性常数和Thomsen系数的影响规律，然后采用“基质-骨架-流体”组合化的方法进行了裂缝储层微观尺度的建模，并与实际测井资料进行了对比。结果表明该模型适用条件为低裂缝密度储层，二阶模型适用的裂缝密度范围比一阶模型大，但在裂缝密度过大时，二阶模型会出现不收敛的现象，模型便不再适用。裂缝储层纵横波速度随裂缝倾角增大而增大，纵波速度对裂缝倾角更为敏感。另外，在与实际测井曲线对比时，在高裂缝密度地层二阶模型的应用效果明显优于一阶模型，说明了在高裂缝密度储层考虑裂缝间的相互作用的必要性。     

Semiconvergence analysis of the randomized row iterative method and its extended variants

The row iterative method is popular in solving the large‐scale ill‐posed problems due to its simplicity and efficiency. In this work we consider the randomized row iterative (RRI) method to tackle this issue. First, we present the semiconvergence analysis of RRI method for the overdetermined and inconsistent system, and derive upper bounds for the noise error propagation in the iteration vectors. To achieve a least squares solution, we then propose an extended version of the RRI (ERRI) method, which in fact can converge in expectation to the solution of the overdetermined or underdetermined, consistent or inconsistent systems. Finally, some numerical examples are given to demonstrate the convergence behaviors of the RRI and ERRI methods for these types of linear system.     

“联用技术及元素形态”国际课程探索与实践*

充分利用线上教学的优势,对化学院本科生开设了“联用技术及元素形态”国际课程,避免了传统教学中组织、协调外籍/外地专家资源过程中必要的各种消耗,极大程度地整合教学资源、改善教学效果。在该课程的探索与实践过程中,学生们对痕量元素形态及基于等离子体质谱的各种联用技术产生了极大的兴趣,激发了他们的主动学习热情;教师之间及师生之间的沟通趋向更简单、更灵活、更实时,为后续线上线下混合式国际课程建设提供了良好的基础和借鉴。     

微波法制备CaMoO4:Tb3+,Eu3+白色荧光粉及其发光性能研究

通过微波法制备了CaMoO4:Tb3+,Eu3+白色荧光粉.采用X射线粉末衍射仪、扫描电子显微镜和荧光光谱仪对样品材料的结构、形貌和发光性能进行了表征.分别讨论了在不同助剂、不同反应浓度、不同反应温度及稀土离子Eu3+和Tb3+共掺比例变化对荧光粉的发光性能的影响.结果表明:不加活性剂所得CaMoO4:Tb3+,Eu3+样品在反应浓度为0.06 mol/L、反应温度为120℃时发光性能最好;通过调节CaMoO4:Tb3+,Eu3+荧光粉中稀土离子Eu3+和Tb3+共掺比例荧光粉的发光颜色可以很容易地从冷白光变为暖白光.     

复合电极La-Ni-B的制备及电催化偏硼酸钠的性能

为进一步提高对偏硼酸钠电催化还原的效率,采用化学镀的方法,以铜片为基体,PdCl2乙醇胶体溶液为活化剂,乙醇为化学镀溶剂,制备了稀土复合电极La-Ni-B.并采用XRD、SEM、EDS方法对催化剂进行表征分析,结果表明稀土合金以纳米颗粒的形式附着在基体表面,所得合金膜是非晶态的.通过循环伏安法研究了复合电极La-Ni-B用于电解偏硼酸钠制备硼氢化钠的可行性.以硼氢化钠实际生产量为指标,探讨了直流、脉冲两种不同供电方式、脉冲电流频率、电解时间对电解行为的影响.结果表明稀土镧对电解偏硼酸钠有催化作用,以20 mL镀液制备的复合电极,在脉冲频率阳极时间T1=1 s,阴极时间T2=1 s时,最佳电解时间为4h.复合电极在重复使用3次的情况下,硼氢化钠产量降低15;,催化剂的重复使用性能良好.     

基于NiCo2O4纳米片电极的非对称混合电容器

The looming global energy crisis and ever-increasing energy demands have catalyzed the development of renewable energy storage systems. In this regard, supercapacitors (SCs) have attracted widespread attention because of their advantageous attributes such as high power density, excellent cycle stability, and environmental friendliness. However, SCs exhibit low energy density and it is important to optimize electrode materials to improve the overall performance of these devices. Among the various electrode materials available, spinel nickel cobaltate (NiCo₂O₄) is particularly interesting because of its excellent theoretical capacitance. Based on the understanding that the performances of the electrode materials strongly depend on their morphologies and structures, in this study, we successfully synthesized NiCo₂O₄ nanosheets on Ni foam via a simple hydrothermal route followed by calcination. The structures and morphologies of the as-synthesized products were characterized by X-ray diffraction, scanning electron microscopy, and Brunauer-Emmett-Teller (BET) surface area analysis, and the results showed that they were uniformly distributed on the Ni foam support. The surface chemical states of the elements in the samples were identified by X-ray photoelectron spectroscopy. The as-synthesized NiCo₂O₄ products were then tested as cathode materials for supercapacitors in a traditional three-electrode system. The electrochemical performances of the NiCo₂O₄ electrode materials were studied and the area capacitance was found to be 1.26 C·cm^-2 at a current density of 1 mA·cm^-2. Furthermore, outstanding cycling stability with 97.6% retention of the initial discharge capacitance after 10000 cycles and excellent rate performance (67.5% capacitance retention with the current density from 1 to 14 mA·cm^-2) were achieved. It was found that the Ni foam supporting the NiCo₂O₄ nanosheets increased the conductivity of the electrode materials. However, it is worth noting that the contribution of nickel foam to the areal capacitance of the electrode materials was almost zero during the charge and discharge processes. To further investigate the practical application of the as-synthesized NiCo₂O₄ nanosheets-based electrode, a device was assembled with the as-prepared samples as the positive electrode and active carbon (AC) as the negative electrode. The assembled supercapacitor showed energy densities of 0.14 and 0.09 Wh·cm^-3 at 1.56 and 4.5 W·cm^-3, respectively. Furthermore, it was able to maintain 95% of its initial specific capacitance after 10000 cycles. The excellent electrochemical performance of the NiCo₂O₄ nanosheets could be ascribed to their unique spatial structure composed of interconnected ultrathin nanosheets, which facilitated electron transportation and ion penetration, suggesting their potential applications as electrode materials for high performance supercapacitors. The present synthetic route can be extended to other ternary transition metal oxides/sulfides for future energy storage devices and systems.     

无需热处理高炉渣微晶玻璃的制备与表征

采用熔融法熔制具有金色星点的微晶玻璃,制备过程无需热处理.利用DSC-TG、XRD、SEM、EDS、TEM、BSE、FTIR和热膨胀研究该微晶玻璃配合料的高温熔制过程和不同熔制温度、保温时间对微晶玻璃晶体含量、显微结构和性能的影响.研究表明:配合料在850℃生成钙铝黄长石晶体并在1010℃逐渐转变为辉石,配合料在1200℃时大量熔化,仅含有熔点较高的正方铬铁矿石,随着温度的升高,正方铬铁矿溶解,玻璃液中析出绿铬石晶体;晶体含量随着熔制温度的升高而减少,随着保温时间的延长而增加.