钟摆模型极限环的存在性研究

钟摆系统是一类典型的分段光滑系统,结合Filippov系统刻画语言,解释了当钟摆无能量补充时,钟摆最终会停止在滑动集上的原因.利用数值模拟的方法,给出钟摆系统在有能量补充时,存在极限环的条件.最后,结合环域定理证明了一般的钟摆模型存在唯一稳定的极限环.     

卤氧化铋复合物光催化剂

利用半导体光催化降解有机污染物与分解水制氢对于解决能源短缺与环境污染这一世界性难题具有重要意义,引起了人们的重视.传统的光催化剂TiO2存在可见光利用率低与光生载流子的复合率高等问题[1-3],因此寻找新型高效光催化剂的工作迫     

N-月桂酰基甲基丙氨酸钠三元复配体系的协同效应北大核心CSCD

将N‑月桂酰基甲基丙氨酸钠(SLMA)依次与月桂酰胺丙基甜菜碱(LAB)、烷基糖苷(APG1214)分别进行二元及三元复配,通过吊片法、稳态荧光探针法、动态光散射及稳态荧光猝灭法,对SLMA/LAB二元复配体系及SLMA/LAB/APG三元复配体系间的协同增效作用,以及溶液组成对其微极性、平均流体力学半径及胶束聚集数的影响进行了研究,并应用正规溶液理论计算二元及三元复配体系的相互作用参数。结果表明,SLMA/LAB二元复配体系及SLMA/LAB/APG三元复配体系均表现出全面增效的协同作用,其最佳物质的量比分别为n(SLMA)∶n(LAB)=3∶7,n(SLMA/LAB)∶n(APG1214)=3∶7,对应临界胶束浓度(CMC)分别为1.054×10^(−3)和1.595×10^(−4) mol/L,SLMA/LAB二元复配体系趋于形成分布集中的单一形态聚集体,且总体偏小;SLMA/LAB/APG三元复配体系的胶束大小比单一体系分布宽,且其胶束体积明显大于二元复配体系。两种复配体系所形成的胶束聚集数均小于单一体系,形成了更加紧密、稳定、较小的胶束结构。SLMA/LAB二元复配体系及SLMA/LAB/APG三元复配体系中表面活性剂分子间的相互作用力加快了稳定胶束的形成,胶束大小分布较宽,以球状及非球状胶束的形式存在,且复配体系形成了更加紧密的胶束结构。     

基于大功率LED扩展光源的均匀光斑光辐射模拟器设计

基于边缘光线原理和光学扩展量守恒思想,结合复合抛物面聚光器和轴对称自由曲面透镜,设计并研制了大功率发光二极管扩展光源的反射/折射准直器.运用Tracepro软件对系统进行光束追迹模拟仿真和实验,研制出均匀光斑的光辐射模拟器.模拟器输出发散角为±12°光束,测量距离出射面50cm处光屏的光斑,在尺寸为14cm×14cm的光照范围内,测得光斑水平方向中心线上的光度均匀度优于4.1%,竖直方向中心线上的光度均匀度优于3.8%.     

三线摆实验中摆角偏大产生的误差及修正方法

研究了三线摆实验中摆角偏大(5°θ20°)时对测量转动惯量产生的误差和修正办法。实验发现随着摆角的增大,测得的圆盘转动惯量也会相应偏大,从而导致测量误差增大。文章通过进一步的理论分析解释了这一现象,并对测量结果进行了系统误差修正。     

Ag/C包覆对Li[Li0.2Mn0.54Ni0.13Co0.13]O2电化学性能的影响

运用共沉淀和元素化学沉积相结合的方法,制备出了具有Ag/C包覆层的层状富锂固溶体材料Li [Li0.2Mn0.54Ni0.13Co0.13]O2.通过X射线衍射(XRD)、场发射扫描电子显微镜(SEM)、透射电子显微镜(TEM)、恒流充放电、循环伏安(CV),电化学阻抗谱(EIS)和X射线能量散射谱(EDS)方法,研究了Ag/C包覆层对Li[Li0.2Mn0.54Ni03Co013]O2电化学性能的影响.结果表明,Ag/C包覆层的厚度约为25 nm,Ag/C包覆在保持了固溶体材料α-NaFeO2六方层状晶体结构的前提下,显著地改善了Li[Li0.0Mn054Ni0.13Co013]O2的电化学性能.在2.0-4.8 V (vs Li/Li+)的电压范围内,首次放电(0.05C)容量由242.6 mAh·g-1提高到272.4 mAh·g-1,库仑效率由67.6％升高到77.4％;在0.2C倍率下,30次循环后,Ag/C包覆的电极材料容量为222.6 mAh·g-1,比未包覆电极材料的容量高出14.45％;包覆后的电极材料在1C下的容量仍为0.05C下的81.3％.循环伏安及电化学交流阻抗谱研究表明,Ag/C包覆层抑制了材料在充放电过程中氧的损失,有效降低了Li[Li02Mn0.54Ni0.13Co013]O2颗粒的界面膜电阻与电化学反应电阻.     

A Narrative Review of Alternate Gait Training Using Knee-ankle-foot Orthosis in Stroke Patients with Severe Hemiparesis

Impairments resulting from stroke lead to persistent difficulties with walking. Subsequently, an improved walking ability is one of the highest priorities for people living with stroke. The degree to which gait can be restored after a stroke is related to both the initial impairment in walking ability and the severity of paresis of the lower extremities. However, there are some patients with severe motor paralysis and a markedly disrupted corticospinal tract who regain their gait function. Recently, several case reports have described the recovery of gait function in stroke patients with severe hemiplegia by providing alternate gait training. Multiple studies have demonstrated that gait training can induce “locomotor-like” coordinated muscle activity of paralyzed lower limbs in people with spinal cord injury. In the present review, we discuss the neural mechanisms of gait, and then we review case reports on the restoration of gait function in stroke patients with severe hemiplegia.     

就单摆问题引入大学物理教学新模式

单摆教学的过程中引入MATLAB数值计算的教学新模式,可以有效地改善大学物理教学的枯燥方式,有助于提高学生对大学物理课中抽象的、复杂的物理现象和规律的理解,也有助于促进对所学数学知识的实际应用.这种新教学模式是深化高等工程教育改革、加快新工科建设、促进创新型工科人才培养的有效手段.     

A Chiral Helical Compound Based on Achiral Components

The title compound, [Cu(dpa)(2,2'-bipy)(H2O)2]n 1 (H2dpa = diphenic acid and 2,2'- bipy = 2,2'-bipyridine), has been synthesized and its structure was determined by single-crystal X-ray diffraction. The crystal is of orthorhombic, space group P212121 with a = 10.597(4), b = 11.317(4), c = 17.630(7) , V = 2114.3(14) 3, C24H20CuN2O6, Mr = 495.97, Z = 4, Dc = 1.558 g/cm3, μ = 1.079 mm-1, F(000) = 1020, Flack value = 0.052(18), R = 0.0430 and wR = 0.1016 for 3381 observed reflections (I > 2σ(I)). In compound 1, the dpa ligands link metal ions into helical structures in the same direction.     

Syntheses, Crystal Structures and Magnetism of Two New Coordination Polymers [Ni（bix）2Cl2]n and [Co（bix）Cl2]n

The self-assembly reactions of MIICl2 (M = Ni, Co) with the flexible bix ligand [bix = 1,4-bis(imidazole-1-ylmethyl)benzene] yielded a 2D network [NiII(bix)2Cl2]n 1 and a 1D chain [CoII(bix)Cl2]n 2. Their crystal structures have been determined by X-ray single-crystal diffraction analysis. Complex 1 characters a two-dimensional grid-type structure and crystallizes in monoclinic, space group P21/c with a = 7.7231(7), b = 12.7787(9), c = 13.9374(13) , β = 105.419(4)o, C28H28Cl2N8Ni, Mr = 606.19, Ζ = 2, V = 1326.0(2) 3, Dc = 1.518 g/cm3, μ = 0.969 mm-1, F(000) = 628, R = 0.0429 and wR = 0.0783 for 2503 observed reflections (I > 2σ(I)). Compound 2 is a one-dimensional chain and crystallizes in orthorhombic, space group Pbca with a = 11.3696(6), b = 10.2128(6), c = 14.4943(9) , C14H14Cl2CoN4, Mr = 368.12, Z = 4, V = 1683.01(17) 3, Dc = 1.453 g/cm3, μ = 1.334 mm-1, F(000) = 748, R = 0.0317 and wR = 0.0800 for 1778 observed reflections (I > 2σ(I)). Magnetic properties of the title complexes were also investigated.