k-Hessian方程径向解的存在性与多解性

该文主要研究了 k-Hessian方程的Dirichlet问题.利用Leggett-Williams不动点定理,得到了一些关于非平凡径向解的存在性与多解性结论.     

5 TW/40 fs级台式钛宝石激光系统研究

在TSA-25系统输出35 mJ,800 nm啁啾脉冲的基础上,建立了以钛宝石作为增益介质的二级啁啾脉冲放大(CPA)系统。使用0.6 J和1.6 J,532 nm,10 Hz Nd∶YAG激光抽运,输出脉冲能量达到500 mJ,经压缩脉冲宽度为41 fs,压缩器的能量转换效率为63%,峰值功率可达7.6 TW。通过对放大器系统的钛宝石晶体、抽运密度以及多通结构通道数的选择等实验,有效地提高了能量放大器的萃取效率。其主放大器能量萃取效率达到32%,整个系统占用尺寸不到10 m2。     

线电荷串产生的史密斯-帕塞尔辐射

采用积分方法分析了线电荷串,沿周期性理想金属光栅表面平行移动时产生的史密斯帕塞尔辐射。分别对短周期光栅、低能量线电荷串与长周期光栅、高能量线电荷串的辐射情况进行了数值计算。相对单个线电荷而言,N个线电荷与反射光栅作用产生的辐射场密度,在频率是线电荷串调制频率的整数倍处出现最大,辐射谱宽变窄;随电荷能量增高,辐射能量向高频方向移动,并具有强烈的定向性;可以通过调节线电荷调制频率等参量实现辐射电磁波频率锁定。研究结果表明,对高能量与低能量的电荷参量,适当选择光栅尺寸与线电荷串间隔周期,都可使辐射波工作于太赫兹波段。     

4.8 nm Concave {M_(72)}(M=Co,Ni,Fe) metal-organic polyhedra capped by 18 calixarenes

Three 4.8 nm isostructural{M₇₂}(M=Co^Ⅱ for CIAC-128,Ni^Ⅱ for CIAC-129,Fe^Ⅱ for CIAC-130) metal-organic polyhedra(MOPs) are constructed by eighteen M₄-p-tert-butylthiacalix[4]arene (M₄-TC4A) units bridged via sixteen four-connected 5,5′-(1H-1,2,4-triazole-3,5-diyl) diisophthalic acid (H₄TADIPA) linkers.These MOPs are featured with a rarely reported concave coordination cage,which can be simplified as a squeezed double-decker hexagonal prism pressed from the top and bottom hexagonal faces.Furthermore,CIAC-128,CIAC-129 and CIAC-130 are the highest nuclearity discrete clusters of Co,Ni and Fe reported so far.CIAC-128 has higher separation selectivity of C₃H₈ than CH₄ under ambient conditions,and also exhibits separation selectivity for C₂H₆/CH₄,C₂H₂/CH₄,and C₂H₄/CH₄.In addition,CIAC-128 can provide the cavity for the confined synthesis of noble metal nanoclusters such as Pd nanoclusters and the resulting Pd@CIAC-128 hybrids show higher electrocatalytic activity than commercial Pt/C towards hydrogen evolution reaction (HER).     

Compatibility of weak approximation for zero-cycles on products of varieties

The Brauer-Manin obstruction is conjectured to be the only obstruction to weak approximation for zero-cycles on proper smooth varieties defined over number fields. We prove that the conjecture is compatible for products of rationally connected varieties, K3 surfaces, Kummer varieties and one curve.     

直接甲醇燃料电池中的涉水传递现象及数值模拟

直接甲醇燃料电池（DMFC）的开发设计日渐成为燃料电池领域的研究热点。利用数学模型对内部传递现象进行数值模拟,不仅具有很强的理论意义,而且对结构设计和操作条件优化有很强的指导意义。本文基于两相流模型和CFD（computer fluid dynamics）技术的应用,综述了电池内部绝大多数的传递过程,特别是近些年开发的电池内部与水相关的传递过程的物理模型和数学模型,并以二者的相互联系加以组织。这些模型思想综合考虑了微观传递机理,描述了电池内复杂的传递现象并提供了相应的数值模拟方法和模型验证方法。这些方法能够加深人们对电池内部传质现象的理解,而其实用意义在于能够指导设计和优化电池结构、提高电池的体积和重量比能量密度和缩短开发周期和大幅度降低开发成本。     

采用新型引发剂乳液聚合法合成高相对分子质量聚乙烯醇

采用新型引发剂偶氮二异(N-胺乙基)丁脒(ABEA)对醋酸乙烯酯的低温乳液聚合进行了研究。通过正交试验得出了高相对分子质量聚醋酸乙烯酯的最佳工艺配方。讨论了引发剂浓度、反应温度和乳化剂浓度对聚合物相对分子质量和转化率的影响。对高相对分子质量聚醋酸乙烯酯醇解工艺进行了探讨,并获得了聚合度为3500~4000的聚乙烯醇。     

Optimizing the quasi-equilibrium state of hot carriers in all-inorganic lead halide perovskite nanocrystals through Mn doping: fundamental dynamics and device perspectives

Hot carrier (HC) cooling accounts for the significant energy loss in lead halide perovskite (LHP) solar cells. Here, we study HC relaxation dynamics in Mn-doped LHP CsPbI₃ nanocrystals (NCs), combining transient absorption spectroscopy and density functional theory (DFT) calculations. We demonstrate that Mn²⁺ doping (1) enlarges the longitudinal optical (LO)–acoustic phonon bandgap, (2) enhances the electron–LO phonon coupling strength, and (3) adds HC relaxation pathways via Mn orbitals within the bands. The spectroscopic study shows that the HC cooling process is decelerated after doping under band-edge excitation due to the dominant phonon bandgap enlargement. When the excitation photon energy is larger than the optical bandgap and the Mn²⁺ transition gap, the doping accelerates the cooling rate owing to the dominant effect of enhanced carrier–phonon coupling and relaxation pathways. We demonstrate that such a phenomenon is optimal for the application of hot carrier solar cells. The enhanced electron–LO phonon coupling and accelerated cooling of high-temperature hot carriers efficiently establish a high-temperature thermal quasi-equilibrium where the excessive energy of the hot carriers is transferred to heat the cold carriers. On the other hand, the enlarged phononic band-gap prevents further cooling of such a quasi-equilibrium, which facilitates the energy conversion process. Our results manifest a straightforward methodology to optimize the HC dynamics for hot carrier solar cells by element doping.

Mn doping modulates the hot carrier dynamics in all-inorganic lead halide perovskite nanocrystals according to the excitation energy.     

反应条件对钌基氨合成催化剂性能的影响

用氨合成催化剂性能评价装置,研究了反应温度、压力、空速和氢氮比对以活性炭为载体的钌基氨合成催化剂活性的影响。研究表明,低于400℃时,随着反应温度降低,催化剂的活性急剧降低。随着压力升高,催化剂活性增大。但钌催化剂具有较高的低压活性,适宜低压合成氨。随着空速的降低,催化剂的活性明显提高。在空速和压力一定的条件下,最佳氢氮比随反应温度而异,并且当空速较高或反应温度较低时,氢氮比的变化对催化剂活性的影响更加明显。