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A Markov observation model with dividend is defined and the interpretation of the practical significance is given. We try to use an irreducible and homogeneous discrete-time Markov chain to modulate the inter-observation times and embed a dividend strategy. In the Markov observation model with dividend, a system of liner equations for the expected discounted value of dividends until ruin time is derived. Moreover, an explicit expression is obtained and proved. Finally, some interesting properties are illustrated by numerical analysis and by comparing with the complete compound binomial model with dividend.     

一类核具有连续横截面变换半群的秩

设X_n={1,2,…,n}并赋予自然数序,MCK_n是X_n上核具有连续横截面保序或反序变换所构成的半群.K_n是MCK_n的最大正则子半群.本文将考虑K_n的理想K(n,r)={α∈K_n:|im(α)|≤r}(3≤r≤n-1).证明了K(n,r)的秩为(n-r+1)(n-r+2)(n-r+3)/6.     

绿色双溶剂法制备高效稳定钙钛矿太阳能电池

采用毒性小、环境友好的乙二醇甲醚(ethylene glycol monomethyl ether,EGME)与水混合的双溶剂(体积比为1∶1)溶解CsBr,通过提高CsBr的溶解度,减少了后续CsBr的甲醇溶液的旋涂遍数,简化了电池制备流程。通过优化CsBr的甲醇溶液的旋涂遍数发现,在旋涂1遍200 mg·mL^-1 CsBr的水/EGME溶液的基础上旋涂2遍15 mg·mL^-1 CsBr的甲醇溶液,所制备的CsPb-Br₃钙钛矿太阳能电池(perovskite solar cells,PSCs)拥有最佳的性能,实现了1.44 V的开路电压(open-circuit voltage,V_OC),6.26mA·cm^-2的短路电流密度(short circuit current density,J_SC),74.57%的填充因子(fill factor,FF)及最高6.72%的光电转换效率(pho-toelectric conversion efficiency,PCE)。     

回归知识本原 构建生命课堂——以“常见物质的检验”为例

以“常见物质的检验”的教学为例,运用化学史料帮助学生自主建构知识体系,促进学生追寻知识本原,实现思维进阶,发展核心素养,并阐述运用化学史料构建高中化学生命课堂的实施策略。     

以模型认知素养为导向的电化学模拟题的命制*——以双极膜的应用为例

以双极膜发展进程为线索,以海水淡化、钠碱循环法脱除烟气中的SO₂等现实发展中真实问题为载体,结合中学生的认知能力水平,构建了电化学双极膜认识模型;命制了双极膜及其应用的电化学模拟题,以此测查学生模型认知素养的水平等级。阐述命题策略及过程,提供以模型认知素养为导向的试题命制思路;从模型建构的角度对2020年高考新课标Ⅰ卷第12题进行了评析。     

萘基相互连接的多孔碳纳米囊的制备及超电容性能

以萘为碳源, 采用MgO模板诱导耦合KOH裁剪技术制备了相互连接的多孔碳纳米囊(ICNC). 结果表明所制备的ICNC₂具有大的比表面积(1811 m²/g)、 高的压实密度(1.38 g/cm³)和微孔孔容含量(58.93%). 在对称的超级电容器(SC)中, ICNC₂电极的体积比容在不同电流密度下分别高达420.8 F/cm³(0.069 A/cm³)和315 F/cm³(27.6 A/cm³), 容量保持率为74.82%. 在38 W/L功率密度下, ICNC₂基SC的体积能量密度为14.6 W?h/L. 经过20000次循环后, 其体积比容仅衰减1.4%, 库伦效率为99.1%, 为从萘基小分子制备储能用功能碳材料提供了一种可行的方法.     

Multilayer Porous Vanadium Nitride Microsheets Anodes for Highly Stable Na-ion Batteries

Sodiumion batteries(SIBs)have attracted intensive attention as promising alternative to lithium-ionbatteries(LIBs)for large scale energy storage systems because of low cost of sodium,similar energy storage mechanism and the reasonable performance.However,it is still a great challenge to search and design a robust structure of anode materials with excellent cycling stability and high rate capability for SIBs.Herein,multilayer porous vanadium nitride(VN)microsheets are synthesized through a facile and scalable hydrothermal synthesis-nitrogenization strategy as an effective anode material for SIBs.The multilayer porous VN microsheets not only offer more active sites for fast Na+insertion/extraction process and short diffusion pathway,but also effectively buffer the volume change of anode due to more space in the multilayer porous structure.The large proportions of capacitive behavior imply that the Na+charge storage depends on the intercalation pseudocapacitive mechanism.The multilayer porous VN microsheets electrodes manifest excellent cycling stability and rate capability,delivering a discharge capacity of 156.1 mA·h/g at 200 mA/g after 100 cycles,and a discharge capacity of 111.9 mA·h/g at 1.0 A/g even after 2300 cycles with the Coulombic efficiency of nearly 100%.     

Host-Guest Interactions of Cyclopentanocucurbit[6]uril with Alkyl Imidazolium Hydrochlorides

The host-guest interactions between cyclopentanocucurbit-[6]uril(CyP₆Q[6]) as host and six alkyl imidazolium hydrochloride as guests(g1, g2, g3, g4, g5, and g6) have been studied by various techniques, such as ¹H NMR spectroscopy, isothermal titration calorimetry, mass spectrometry, and single-crystal X-ray diffraction analysis. The experimental results showed that CyP₆Q[6] formed 1:1 inclusion complexes with each of guests g1-g6. The part of the guest entered the cavity of CyP₆Q[6] changes as the alkyl chain increases in length. It can be seen that the length of the alkyl chain plays a key role in determining the mode of host-guest interactions.     

原位合成H2O2在水处理技术中的应用研究进展

从过氧化氢(H₂O₂)的原位生成技术角度总结了近年来利用原位合成H₂O₂处理水中污染物的研究,分析了当前可充当氢源材料的种类及不同的氢源材料对于提高H₂O₂产率的影响,以及不同的催化剂材料和催化反应环境提高H₂O₂利用率对污染处理效果的影响因素,并对原位合成H₂O₂在水处理领域中面临的挑战和发展前景做了展望,从而为该技术的大规模应用提供指导和借鉴。     

Au@ZIF-8核壳结构中金纳米粒子分布的调控及其在荧光分子光致发光传感中的应用

控制金属@MOF核壳纳米结构中金属纳米粒子的分布不容易实现。我们应用了合成MOF胶体粒子所用到的配位调制方法来合成Au@ZIF-8核壳纳米结构。通过使用过量的2-甲基咪唑和不同用量的1-甲基咪唑可获得不同的Au@ZIF-8。该合成方法可在ZIF-8纳米晶体中灵活调整Au纳米粒子（Au NPs）的分布。此外,我们分别研究了2种不同尺寸的荧光分子与Au@ZIF-8结合后的光致发光光谱和寿命。ZIF-8的孔径可以决定这2种分子是否可通过多孔壳结构接近Au NPs。分子光学特性对Au NPs近场的发光增强和荧光猝灭的竞争非常敏感。