供/吸电子基团共轭桥联的双BODIPY衍生物的合成及性能

设计合成了4种对称的以不同供/吸电子基团为共轭桥、两端连接meso位苯或噻吩取代的新型氟化硼二吡咯甲川(BODIPY)衍生物;通过1H NMR,13C NMR和MS等手段对其进行了结构表征;并采用紫外吸收光谱、荧光发射光谱及循环伏安(CV)等方法研究了其光电性能.紫外光谱数据表明,BODIPY结构具有明显的特征吸收,中间的桥联基团无论是强供电子的苯并二噻吩(BDT)还是强吸电子的苯并噻二唑(BT)均不能使整个分子产生明显的分子内电子迁移(ICT).另一方面,meso位的取代基可与BODIPY核产生微弱的ICT,且meso位噻吩取代的分子比meso位苯环取代的分子表现出更强的ICT.紫外光谱数据和电化学测试结果表明,meso位噻吩取代的分子比meso位苯环取代的分子具有更低的氧化电位和更窄的能隙.     

素养导向的项目教学研究——以盐桥概念为例

以盐桥概念教学为项目,从“桥”的概念出发,根据桥的作用、桥的选择依据以及实际电池中桥的成分与功能设立了3个项目任务;从“盐”的概念出发,根据盐的种类与浓度对原电池电流的影响设立了4个项目任务。通过项目任务,把盐桥概念与实际生活中的电池关联起来,让学生学会运用实验方法解决问题,培养学生将理论知识与实际的工程技术整合的能力,以及跨学科知识整合与模型构建的能力。     

Novel organic dye sensitizers containing fluorenyl and biphenyl moieties for solar cells

Three novel triarylamine dyes(AFL1-AFL3) containing fluorenyl and the biphenyl moieties have been designed and synthesized for application in dye-sensitized solar cells.The light-harvesting capabilities and photovoltaic performance of these dyes were investigated systematically through comparison of different π-bridges.The dye with a furan linker exhibited a higher open-circuit voltage(V_(OC)) and monochromatic incident photon-to-current conversion efficiency(IPCE) compared to thiophene and benzene linker.Thus,AFL3 containing a furan linker exhibited the maximum overall conversion efficiency of 5.81%(V_(OC) = 760 mV,J_(SC) = 11.36 mA cm~2 and ff=0.68) under standard global AM 1.5 G solar condition.     

Continuity in law with respect to the Hurst index of some additive functionals of sub-fractional Brownian motion

In this article, first, we prove some properties of the sub-fractional Brownian motion introduced by Bojdecki et al. [Statist. Probab. Lett. 69(2004):405–419]. Second, we prove the continuity in law, with respect to small perturbations of the Hurst index, in some anisotropic Besov spaces, of some continuous additive functionals of the sub-fractional Brownian motion. We prove that our result can be obtained easily, by using the decomposition in law of the sub-fractional Brownian motion given by Bardina and Bascompte [Collect. Math. 61(2010):191–204] and Ruiz de Chavez and Tudor [Math. Rep. 11(2009):67–74], without using the result of Wu and Xiao [Stoch. Proc. Appl. 119(2009):1823–1844] by connecting the sub-fractional Brownian motion to its stationary Gaussian process through Lamperti’s transform. This decomposition in law leads to a better understanding and simple proof of our result.     

Wavelet-based estimator for the hurst parameters of fractional brownian sheet

It is proposed a class of statistical estimators H =(H_1,…,H_d) for the Hurst parameters H =(H_1,…,H_d) of fractional Brownian field via multi-dimensional wavelet analysis and least squares,which are asymptotically normal.These estimators can be used to detect self-similarity and long-range dependence in multi-dimensional signals,which is important in texture classification and improvement of diffusion tensor imaging(DTI) of nuclear magnetic resonance(NMR).Some fractional Brownian sheets will be simulated and the simulated data are used to validate these estimators.We find that when H_i ≥ 1/2,the estimators are accurate,and when H_i 1/2,there are some bias.     

分数扩散模型的参数估计及其应用

研究分数扩散模型的参数估计及其应用问题.分数扩散模型是一类由分数Brownian运动驱动的随机微分方程.主要结果有:(1)利用二次变差方法给出模型中扩散系数的估计量,通过最小二乘法给出模型中漂移系数的估计量;(2)证明这些估计量的一致收敛性和渐近正态性;(3)利用MCMC方法对此估计量进行验证,并通过R软件将上述模型以及参数估计量应用到SHIBOR利率中进行实证研究.     

Besov空间中双参数Volterra型重分数过程的弱逼近

In this paper, we prove that two-parameter Volterra multifractional process can be approximated in law in the topology of the anisotropic Besov spaces by the family of processes{B_n(s,t)},n∈N defined by B_n(s,t)=∫_0~s ∫_0~tk_(a(s))(s,u)K_(β(t))(t,u)θ_(n(u,v))dudv,here {θ_n(u, v)}n∈N is a family of processes, converging in law to a Brownian sheet as n→∞,based on the well known Donsker's theorem.     

Pattern‐avoiding permutations and Brownian excursion part I: Shapes and fluctuations

Permutations that avoid given patterns are among the most classical objects in combinatorics and have strong connections to many fields of mathematics, computer science and biology. In this paper we study the scaling limits of a random permutation avoiding a pattern of length 3 and their relations to Brownian excursion. Exploring this connection to Brownian excursion allows us to strengthen the recent results of Madras and Pehlivan [25] and Miner and Pak [29] as well as to understand many of the interesting phenomena that had previously gone unexplained. © 2016 Wiley Periodicals, Inc. Random Struct. Alg., 50, 394–419, 2017     

桥连对嵌段共聚物自组装的调控

通过嵌段共聚物自组装形成“桥连”是制备具有优异力学性能的网络结构的有效途经, 具有重要的应用价值. 但是, 过去的研究工作很少讨论“桥连”对嵌段共聚物自组装行为本身的影响. 该研究评论主要总结了最近几年利用“桥连”对嵌段自组装行为进行调控的工作进展. 作者设计了BABCB三组分线性多嵌段共聚物, 当其自组装形成二元“介观晶体”(球、柱)结构时, 中间B嵌段连接A和C相区(嵌段聚集成的“大原子”), 自然地形成桥连; 减小中间桥连B嵌段的相对长度, 就可以增加其拉伸程度, 从而降低介观晶体的配位数; 另外, 两个末端B嵌段的相对长度可以直接调控A和C“大原子”之间的相对配位数. 基于这两个机理, 自洽场理论计算预测了各种配位数相等和不相等的二元介观晶体结构. 进一步, 将“拉伸桥连”概念拓展到AB型嵌段共聚物体系中, 并且通过多臂星型嵌段共聚物分子结构中的“组合构型熵效应”在AB型嵌段共聚物中形成高比率的桥连构型, 使传统的六角柱状结构转变为了四配位的四方柱状和三配位的石墨烯类柱状结构. 未来, 在ABC三组分嵌段共聚物体系的设计中引入拓扑结构以及使用共混等方法, 有望在介观尺度重铸大多数已知的原子/离子二元晶体结构, 甚至超越原子/离子晶体结构.     

斜交连续梁桥数值分析研究

在分析了矩阵位移法和传递矩阵法的理论基础上，将二者组合而成矩阵混合法。矩阵混合法的实质就是将结构物的一端未知向量通过矩阵的简单乘法传递到另一端，再将已知条件代入求解的过程。在矩阵传递的过程中引入位移法中的前进代入的概念，即将未知向量不断地以新的未知向量替换，可以防止误差的传递和积累。将矩阵混合法运用于斜交连续梁桥内力计算，完成了矩阵混合法在斜交连续梁桥内力计算中的理论推导和程序的设计，给出了实际算例并与有限元法进行了比较。