Massive particles＇ tunnelling radiation from the black hole with a mass-quadruple moment

In this paper, we extend Zhang and Zhao's recent work to the black hole with a mass-quadruple moment. The behaviour of the tunnelling massive particles is investigated, and the emission rate at which massive particles tunnel across the event horizon of the black hole is calculated. The result is consistent with an underlying unitary theory, and takes the same functional form as that of a massless particle.     

氮杂冠醚取代基对schiff碱锰(Ⅲ) 配合物催化苯乙烯环氧化反应的影响

合成并表征了苯并-10-氮杂-15-冠-5或吗啉基取代的单和双Schiff碱锰（Ⅲ）配合物MnL2^1Cl,MnL2^2Cl,Mnl^3Cl和MnL^4Cl．研究了它们作为仿P450模型化合物催化苯乙烯环氧化反应的性能,并考察了催化反应的动力学．结果表明,氮杂冠醚取代的Schifft碱锰（Ⅲ）配合物优于相应的吗啉基取代的Schiff碱锰（Ⅲ）配合物,且反应遵从Michaelis—Menten规律．这是由于具有特殊功能和空间构型的氮杂冠醚大环的引入。改善了催化中心周围的微环境,从而显著地提高了Schiff碱锰（Ⅲ）配合物的催化活性．     

关于调和级数的部分和的推导及证明

中世纪后期,数学家Oresme证明了所有调和级数都是发散的,但是调和级数的拉马努金和存在,且为Euler常数.Euler在1734年利用Newton的成果,首先给出了调和级数的部分和的表达式.通过分析Ross,S.M.对经典概率论问题"优惠券收集问题"的解决方法,得到了调和级数的部分和的不同表达式,并运用数学归纳法,变量代换证明了表达式的正确性.     

Generalized coupled Fokas–Lenells equation: modulation instability,conservation laws,and interaction solutions

Nonlinear Dynamics - This paper focuses on the modulation instability, conservation laws, and interaction solutions of the generalized coupled Fokas–Lenells equation. Based on the theory of...     

A low-temperature synthesis-induced defect formation strategy for stable hierarchical porous metal–organic frameworks

A stable hierarchical porous metal–organic framework PCN-56 with abundant Lewis acid sites (denoted as Defective-PCN-56) was synthesized by the low-temperature synthesis-induced defect formation method. The existence of mesopore in structure was confirmed by N₂ sorption isotherm and the successful encapsulation of large dye molecules. The Defective-PCN-56 has higher loading capacity toward anti-cancer drug Doxo compared with that of “nearly ideal-crystal” (denoted as Ideal-PCN-56) synthesized at high temperature, showing potential application as drug carrier. The low-temperature synthesis-induced defect formation strategy presented here provides a new and facile way to synthesize stable MOFs with the combination of intrinsic micropore and additional mesopore as well as abundant Lewis acid sites.     

A new-structure grey Verhulst model: Development and performance comparison

The structure defect of the traditional grey Verhulst model is a key factor leading to its unstable performance. A new-structure grey Verhulst model (N_Verhulst) was proposed by introducing a new non-homogeneous exponential function. The N_Verhulst model has a better structure and stronger modeling ability; Meanwhile, it overcomes the shortcomings of the traditional Verhulst model including parameter dislocation and unreasonable selection of initial values. Four typical cases were used to test the performance of N_Verhulst, and the simulation/prediction results of the new model were compared with the traditional Verhulst model and the Pearl model. Results showed that the N_Verhulst model had evidently superior performance to the traditional grey Verhulst model, which confirms that the structure development of the new model is reasonable and effective.     

Geometry,stability and aromaticity of β-diketiminate-coordinated alkaline-earth compounds

The nucleus-independent chemical shifts (NICS), anisotropy of the induced current density (AICD), and molecular orbital (MO) analyses demonstrated the non-aromaticity of the β-diketiminate-coordinated Ae compounds. The DFT calculations revealed relatively high isomerization energies (ISE) for β-diketiminatecoordinated Ae compounds, which contribute to their stability.     

前驱体Ni(OH)2对LiCo0.3Ni0.7O2正极材料的影响研究

研究了两种不同前驱体Ni(OH)₂对LiCo_0.3Ni_0.7O₂锂离子电池正极材料的结构与电化学性能的影响，并用XRD、SEM及电性能测试考察了材料的结构、形貌与电化学性能。结果表明，前驱体Ni(OH)₂的形貌、结晶形态对LiCo_0.3Ni_0.7O₂正极材料的性能有极大的影响。与目前镍酸锂合成需高密度球形镍前驱体Ni(OH)₂认识不同，本文发现呈枝晶网络状结构、表面蓬松、比表面积高和振实密度低的前驱体Ni(OH)₂具有较高的化学活性，可有效抑制产物LiCo_0.3Ni_0.7O₂正极材料中阳离子混排产物的生成。由其制备的目标正极材料LiCo_0.3Ni_0.7O₂显示出较优的电化学性能，首次放电容量为175 mAh·g^-1，首次放电效率为93.9%，40次循环容量保持率为94.8%，显示较好的循环稳定性。     

移动随机荷载作用下梁桥非平稳随机振动的PEM-FFT方法

针对移动随机载荷作用下桥梁结构非平稳随机振动问题,建立了一种基于频域分析的虚拟激励-傅里叶变换方法(PEM-FFT)。与通常的非平稳随机振动的时频分析方法不同,提出的方法完全在频域上执行。其主要特色是能够给出随机输入与随机输出的频域关系,表明移动载荷作用下结构非平稳随机振动分析仅需对载荷的确定性移动函数项进行计算。数值算例考虑了等截面/变截面简支梁受移动随机载荷作用的问题,首先与通常的时频分析方法进行对比,验证了PEM-FFT方法的正确性和有效性,进一步讨论了不同结构形式以及不同载荷移动速度对响应演变统计量的影响。