高能量密度型锂离子电池正极材料LiNi0.5Mn1.5O4改性的研究进展

尖晶石镍锰酸锂(LiNi0.5Mn1.5O4)具有工作电压高、结构稳定、适合快充快放等特性成为高能量及高功率密度型正极材料的有力竞争者.结合了近几年的研究报道,介绍了LiNi0.5 Mn1.5O4的结构、制备方法、改性方法及其应用前景,着重介绍了LiNi0.5 Mn1.5O4材料晶型结构对其性能的影响,并指出该材料目前存在的问题和研究重点.     

Two types of loop algebras and their expanding Lax integrable models

Though various integrable hierarchies of evolution equations were obtained by choosing proper U in zero-curvature equation U_t-V_x+[U,V]=0, but in this paper, a new integrable hierarchy possessing bi-Hamiltonian structure is worked out by selecting V with spectral potentials. Then its expanding Lax integrable model of the hierarchy possessing a simple Hamiltonian operator \widetilde{J} is presented by constructing a subalgebra \widetilde{G } of the loop algebra \widetilde A₂. As linear expansions of the above-mentioned integrable hierarchy and its expanding Lax integrable model with respect to their dimensional numbers, their (2+1)-dimensional forms are derived from a (2+1)-dimensional zero-curvature equation.     

模糊Lagrange插值及其误差分析

本文基于LR模糊插值基函数,构造了模糊数值函数的Lagrange插值公式,并对模糊插值余项进行了分析。两个数值算例表明,我们所建的插值方法是有效的。     

(La0.75Sm0.25)2Zr2O7陶瓷的热导率

以Sm2O3、La2O3和ZrO2为原料,用固相反应法制备了(La0.75Sm0.25)2Zr2O7陶瓷材料.采用XRD和FT-IR技术研究了试样的相结构,用SEM分析了试样的微观组织结构,采用激光脉冲法测量试样的热导率.结果表明,所制备的陶瓷材料具有焦绿石晶体结构,其组织结构致密,晶粒大小均匀,晶界清晰.由于La3+和Sm3+质量和离子半径的差别, (La0.75Sm0.25)2Zr2O7具有比La2Zr2O7更低的热导率.其热导率明显低于现役的YSZ陶瓷,可用作新型热障涂层表面陶瓷层候选材料.     

一类代数系统及其应用

本文利用已有的loop代数$\widetilde{A}_{1}$构造出代数系统$X$,然后建立了一个新的等谱问题得到著名的Volterra lattice可积系,最后通过构造出的$X$的扩展代数系统$\widetilde{X}$得到已有的可积系的可积耦合系统.