从银行利率谈起

编者按这是一名高中学生写的数学应用论文．作者能够以敏锐的眼光从现实生活中发现问题，并且运用掌握的数学知识解决问题，还提出了具有创造性的见解．上高中了，我们又学到了不少数学知识．平时总以为数学知识在生活中应用不上．但通过认真观察，却发现，数学知识在实际...     

基于Logistic回归建模和马尔可夫链蒙特卡罗方法计算后验描述丁酸梭菌株对于给定辐照剂量区的应答趋势

利用马尔可夫链蒙特卡罗（Markov Chain Monte Carlo,MCMC）方法估计Logistic回归模型中的参数,就是要构造一个以参数的后验分布为其平稳分布的非周期不可约的马尔可夫链,然后用该平稳分布中抽出的样本点计算蒙特卡罗积分。上述理论方法可以解决实验样本数据由于存在定和约束和多重共线性、在进行经典的logistic回归建模时的困难问题。基于此方法,研究了丁酸梭菌株对于给定辐照区间剂量的应答趋势,用模型挖掘数据所隐含的内在信息并导出了Logistic回归模型参数的贝叶斯框架下的50%,90%,95%和99%的置信区间。结果表明,运用Logistic与马尔可夫链耦合模型在有关给定辐射剂量对于微生物作用效果问题的logistic回归建模中具有较大的科学性与很好的使用性,从而可以为辐照诱变处理微生物制定辐照剂量区提供理论支持和回归技术借鉴。Using the Markov Chain Monte-Carlo method to estimate the parameters in the Logistic regression model, we constructed a non-periodic irreducible Markov Chain with the posterior distribution of the parameters as stationary distribution, and then used the sample points extracted from the stationary distribution to calculate the Monte-Carlo integral. The above theoretical method can solve the difficult problem of classical logistic regression modeling because of the existence and limitation of the experimental sample data and the multicollinearity. In the classical regression setup with a continuous response, the predicted values can range over all real numbers. Therefore, a different modelling technique is needed. In this work, the results describe in detail a previously unknown lethality trend following 12C6+ heavy-ion irradiation of Clostridium tyrobutyricum. By Markov Chain Monte-Carlo can calculate the model fit for a randomly selected subset of the chain and calculate the predictive envelope of the model. The grey areas in the plot correspond to 50%, 90%, 95%, and 99% posterior regions. More importantly, although this study focused on the use of the method in heavy-ion irradiation of microbial, its results are broadly applicable.     

Tandem organic light-emitting diode with a molybdenum tri-oxide thin film interconnector layer

A 10-nm-thick molybdenum tri-oxide(MoO3) thin film was used as the interconnector layer in tandem organic lightemitting devices(OLEDs).The tandem OLEDs with two identical emissive units consisting of N,N-bis(naphthalen-1-yl)N,N-bis(phenyl)-benzidine(NPB) /tris(8-hydroxyquinoline) aluminum(Alq3) exhibited current efficiency-current density characteristics superior to the conventional single-unit devices.At 20 mA/cm2,the current efficiency of the tandem OLEDs using the interconnector layers of MoO3 thin film was about 4.0 cd/A,which is about twice that of the corresponding conventional single-unit device(1.8cd/A).The tandem OLED showed a higher power efficiency than the conventional single-unit device for luminance over 1200cd/m2.The experimental results demonstrated that a MoO3 thin film with a proper thickness can be used as an effective interconnector layer in tandem OLEDs.Such an interconnector layer can be easily fabricated by simple thermal evaporation,greatly simplifying the device processing and fabrication processes required by previously reported interconnector layers.A possible explanation was proposed for the carrier generation of the MoO3 interconnector layer.     

红光颜色转换层调节的顶发射有机白光器件

采用倒置结构顶发射蓝光器件和非掺杂型红光染料NPAMLI制备了TWOLED,研究了器件结构和光电性能的关系,器件结构为Glass/Al/Cs2CO／Alq3／AND/NPB/MoO3/Au/Alq3/NPAMLI.NPAMLI的吸收谱与ADN的发光谱有较大的重叠,NPAMLI能够吸收ADN发出的部分蓝光并发射红光.实验...     

溶剂效应对DCM发光特性的影响

有机发光二极管利用有机半导体光电功能材料的电致发光效应,具有许多优异性能,是新一代有发展前途的平板显示器件及光源。有机发光材料的光电特性、光物理、光化学过程直接决定了有机发光二极管的性能。利用荧光光谱方法观察典型高效有机小分子激光染料DCM在不同溶剂中的发光特性,研究其与溶剂分子的相互作用,即溶剂效应对其发光特性的影响。结果表明DCM溶液的荧光光谱中心波长随溶剂极性增大而红移,相对发光强度基本上随溶剂极性增大。同时,还观察了不同浓度DCM溶液的发光特性,研究DCM分子间相互作用导致的浓度猝灭效应,结果表明DCM溶液浓度为10^-6mol／L时,DCM溶液相对发光强度最大。     

一种基于能量法则的爆炸成形弹丸速度的工程计算方法

为了准确预报爆炸成形弹丸的速度,提出了以药型罩中所有内部微元都变处于流动状态的时刻作为爆炸成形弹丸成形结束的标志,并因此得出药型罩自身变形时所消耗的变形能应与使整个药型罩都处于流动状态的熔化能相等。在此基础上利用能量守恒原理,建立了爆炸成形弹丸速度的计算公式,并通过试验和数值模拟验证。实验和计算结果表明,本文中所建立的爆炸成形弹丸速度的计算公式具有较好的工程实用价值。     

具有Au/MoO_3空穴注入层的有机发光二极管

研究了单层MoO3(5nm)和复合Au(4nm)/MoO3(5nm)HILs对OLEDs器件性能的影响,器件结构为ITO/HIL/NPB(40nm)/Alq3(60nm)/LiF(1nm)/Al(100nm)。与单层MoO3HIL的器件相比,具有复合Au/MoO3HIL的器件具有较大的电流和亮度。这是由于Au的功函数介于ITO和MoO3之间,导致Au的引入提高了空穴的注入效率。     

关联法和类比法在生物化学教学中的应用

“生物化学”涉及到生命科学与化学2个知识体系的交叉,内涵非常丰富,正因为如此,在课堂教学中往往容易遇到知识点过于分散的问题,而导致学生难以系统而有效地抓住重点。为解决这一问题,在“生物化学”的教学中引入关联法和类比法,紧扣生物大分子复杂性与分子层面的同一性兼具的特点,利用“关联”与“类比”相结合的教学模式,将书本中繁杂的知识点联系成一个彼此相互联系的树状的网络,向学生讲述这个生命之树相关的故事,从而提升“生物化学”的教学效果。     

MoO3/Ag/AI/ZnO intermediate layer for inverted tandem polymer solar cells

We report an MoO3/Ag/Al/ZnO intermediate layer connecting two identical bulk heterojunction subcells with a poly（3-hexylthiophene） and [6,6]-phenyl-C61-butyric acid methyl ester （P3HT and PCBM） active layer for inverted tan- dem polymer solar cells. The highly transparent intermediate layer with an optimized thickness realizes an Ohmic contact between the two subcells for effective charge extraction and recombination. A maximum power conversion efficiency of 3.76% is obtained for the tandem cell under 100 mW/cm2 illumination, which is larger than that of a single cell （3.15%）. The open-circuit voltage of the tandem cell （1.18 V） approaches double that of the single cell （0.61 V）.     

FC(O)O2的结构及其自由基与NO反应的微观机理研究

用密度泛函理论(DFT)和哈特里-福克(HF)从头计算方法和半经验势方法等研究了FC(O)O₂ 的结构和振动性质.在DFT中采用B3LYP方法,在6-311G(d)基组上对FC(O)O₂自由基与NO反应的微观过程进行了分析.首先给出了各反应物、中间体、过渡态和生成物的几何构型,然后计算了它们的能量和频率,通过频谱分析得到反应的中间体和过渡态信息,即FC(O)O₂与NO反应为多反应通道,势垒高度和反应速度给出主要通道是FC(O)O₂