The largest eigenvalue distribution of the laguerre unitary ensemble

We study the probability that all eigenvalues of the Laguerre unitary ensemble of n by n matrices are in(0, t), that is, the largest eigenvalue distribution. Associated with this probability, in the ladder operator approach for orthogonal polynomials, there are recurrence coefficients, namely, α_n(t) and β_n(t), as well as three auxiliary quantities, denoted by r_n(t), R_n(t), and σ_n(t). We establish the second order differential equations for both β_n(t) and r_n(t). By investigating the soft edge scaling limit when α = O(n) as n →∞ or α is finite, we derive a P_Ⅱ, the σ-form, and the asymptotic solution of the probability. In addition, we develop differential equations for orthogonal polynomials P_n(z) corresponding to the largest eigenvalue distribution of LUE and GUE with n finite or large. For large n,asymptotic formulas are given near the singular points of the ODE. Moreover, we are able to deduce a particular case of Chazy's equation for ρ(t) = Ξ′(t) with Ξ(t) satisfying the σ-form of P_Ⅳ or P_Ⅴ.     

pH响应性可降解聚膦腈的合成和表征

采用亲核取代引入侧基再进一步修饰的方法合成了一种新型的可降解聚膦腈 ,红外光谱、氢核磁共振谱、元素分析证实了聚合物的化学组成 .体外降解实验表明当侧基修饰达一定比例时 ,聚合物降解行为表现出强烈的pH响应性 ,即聚合物的降解在pH6 0～ 7 4之间迅速加快 ,这类聚合物可望作为口服药物控释制剂的载体材料 .     

异戊橡胶中填料的絮凝及其对性能的影响

针对硫化过程对异戊橡胶中的填料絮凝及其性能的影响等问题, 通过改变硫化温度和硫化时间, 对比研究了炭黑、 白炭黑、 炭黑/白炭黑混合填料体系中的填料絮凝过程, 比较其动、 静态性能等的变化. 为了分析交联网络在填料絮凝过程中的贡献, 对比了工艺相同的含硫与不含硫胶料在不同温度和时间下的絮凝过程. 在含硫体系中, 佩恩效应主要来自于填料网络和橡胶网络的贡献; 而在不含硫体系中, 佩恩效应主要来自于填料网络的贡献. 研究结果表明, 橡胶网络的形成在一定程度上限制了填料的絮凝, 因此, 随温度升高, 含硫体系的佩恩效应减小, 而无硫体系的佩恩效应逐渐增加或先减小后增加. 随时间延长, 含硫胶料和无硫胶料的佩恩效应均增加, 但机制有所不同. 其中含硫胶料主要来自于交联网络的形成, 而无硫胶料主要来自于填料的絮凝. 絮凝动力学研究表明, 快速絮凝发生在较短的时间范围内, 在长时间范围内絮凝开始变慢但并不会停止, 且在较低温度(60 ℃)下絮凝仍会发生. 此外, 高温和长时间热处理导致材料的拉伸性能出现下降, 但动态疲劳性能有所增强.     

光交联自支撑丝素蛋白水凝胶的三维快速成型

将丝素蛋白(SF)光诱导自交联原理与挤出式三维(3D)打印相结合, 开发了光交联自支撑SF水凝胶的原位成型加工技术. 采用旋转流变仪、 光流变测试系统和改装的挤出式3D打印设备等对SF溶液的流变性能、 光交联性能和成型加工性能等进行研究. 结果表明, SF溶液主要表现为黏性特征, 结构强度和稳定性均较差. 利用SF的光诱导自交联特性, 以三联吡啶氯化钌[Ru(Ⅱ)]和过硫酸钾(KPS)为蓝光引发体系, 可实现SF水凝胶的快速光交联成型. SF光交联行为符合指数函数增长模型, 因“滤镜效应”, 当Ru(Ⅱ)的浓度为0.05 mmol/L时, SF具有最佳的光交联性能. 通过调节气压、 针头孔径、 移动速度及固化速率等参数, 采用3D打印设备可实现从单层几何结构到多层三维网络构型SF凝胶材料的高效、 精准构建, 为SF的生物3D打印提供了新思路.     

基于CeO2-Co3O4纳米纤维的催化发光式甲醛传感器研究

采用双喷嘴静电纺丝法制备了CeO2-Co3 O4纳米纤维,将制备的CeO2-Co3 O4纳米纤维均匀涂覆于 ω型加热线圈表面形成催化发光薄膜,设计了一种新型催化发光甲醛传感器.采用X射线衍射仪、 扫描电子显微镜、 全自动程序化学吸附仪和X-射线光电子能谱仪,表征了Co3 O4-CeO2纳米纤维的相组成和微观形貌,讨论了甲醛在CeO2-Co3 O4催化剂表面的电化学特性和催化发光机理.在优化条件下,即波长500 nm、 温度550℃ 、 载气流速0.2 L/min,甲醛传感器件(Ce30)催化发光强度与甲醛浓度在1.2~50μg/m3范围内有良好的线性关系,灵敏度为40.04 a.u./(μg/m3),检出限为1.2μg/m3,动态响应和恢复时间分别为2.4和3.5 s.此传感器可用于汽车尾气中甲醛浓度检测,相对误差范围为0.4%~1.1%,相对标准偏差RSD<3%(n=6).     

自旋电子学-光催化产氢交叉学科研究中的测试表征技术进展

清洁能源的研究和开发为解决化石燃料的日益枯竭问题带来了希望.氢能燃烧热值高,产物零污染,是理想的清洁能源.利用太阳能,通过光催化反应从水中制取氢气,是一条极有发展前景的制氢途径.然而,太阳能光催化制氢的发展受到许多因素的限制,特别是光电子传输过程中的电子-空穴复合及能量损失导致的电子输运效率低以及高的产氢产氧过电位导致水分解过程的势垒增大.自旋电子学的发展,为太阳能光催化制氢中的这些问题提供了解决之道.通过将自旋电子学的思路及原理应用于太阳能光催化制氢,借助自旋输运及电子隧穿可有效提高电子的输运效率,光电子的自旋极化还可降低产氢产氧过电位并抑制副产物的生成.测试表征技术的发展为揭示自旋电子学-太阳能光催化制氢交叉科学的内秉机理做出了重要贡献.然而,目前尚无相关文籍对此类测试表征技术的发展进行总结和评述.考虑到这些测试表征技术在自旋电子学-太阳能光催化制氢交叉科学研究中的重要作用,对它们进行归纳和总结,评述其发展面临的问题与挑战,探索并合理预测其未来的发展方向.     

Influence of cation on the cellulose dissolution investigated by MD simulation and experiments

Cellulose is the most abundant natural polymer on the earth, and effective solvents are essential for its wide application. Among various solvents such as alkali/urea or ionic liquids, cations all play a very important role on the cellulose dissolution. In this work, the influence of cation on the cellulose dissolution in alkali/urea via a cooling process was investigated with a combination of MD simulation and experiments, including differential scanning calorimetry (DSC) and NMR diffusometry (PFG-SE NMR). The results of DSC proved that the dissolution of cellulose in both solvents was a process within a temperature range, starting at above 0 °C and completing at low temperature (?5 °C for LiOH/urea and ?20 °C for NaOH/urea), indicating the necessity of low temperature for the cellulose dissolution. Molecular dynamic (MD) simulation suggested that the electrostatic force between OH^? and cellulose dominated the inter-molecular interactions. In our findings, Li⁺ could penetrate closer to cellulose, and displayed stronger electrostatic interaction with the biomacromolecule than Na⁺, thus possessed a greater “stabilizing” effect on the OH^?/cellulose interaction. PFG-SE NMR demonstrated a more significant binding fraction of Li⁺ than Na⁺ to cellulose, which was consistent with MD. These results indicated that the direct interactions existed between the cations and cellulose, and Li⁺ exhibited stronger interaction with cellulose, leading to stronger dissolving power.     

联苯类比率型荧光探针检测水中硫化氢

以叠氮基为识别基团,4.4'-联苯二甲酸为初始原料,合成了一种可用于H_2S检测的联苯类比率型荧光探针2-叠氮基-4,4'-联苯二甲酸乙酯(WN),并通过~1H NMR、~(13)C NMR以及MS等技术手段对其结构进行了表征。以检测水溶液中硫化氢为目的,系统地研究了其荧光特性。研究结果表明,WN对硫化氢具有高选择性和灵敏度,且对生物硫醇(Cys,Gsh)、活性氧化物(H_2O_2,ClO~-)、各种阴阳离子(H_2PO_4~-,SO_4~(2-),Cl~-,HCO_3~-,CO_3~(2-),Mg~(2+),Zn~(2+),K~+,Ca~(2+),Na~+)有很强的抗干扰能力,在较宽的pH值范围内,仍然表现出良好的荧光性能,在1.1~350μmol/L范围内,NaHS的浓度与荧光强度呈现良好的线性关系,相关系数R~2=0.9943,检出限度为1.07×10~(-6)mol/L。通过对3种不同水样的测试,表明探针WN在水体中H_2S的检测方面具有一定的应用意义。     

氯化胆碱催化合成香豆素-3-羧酸

香豆素衍生物合成方法的研究与改进已经成为国内外学者的热门研究方向。室温条件下,在水相中以水杨醛和麦氏酸为原料、氯化胆碱为催化剂、乙醇为辅助溶剂,通过Knoevenagal缩合-分子内环化串联反应以88%~96%的产率合成了一系列的香豆素-3-羧酸。该方法拓展了可用于合成香豆素-3-羧酸的催化剂的种类,具有反应条件温和、催化剂廉价易得、底物适用性广、产率较高、后处理简单和产物易于纯化等优点。     

Infrasonic waves generated from the volcano eruption in Tonga

The Hunga-Tonga-Hunga-Ha'apai volcano in Tonga erupted violently on January 15, 2022. After 8 hours and 39 minutes, an infrasound array in Kunming at a distance of 10151 km away from the volcano recorded a sequence of strong infrasonic waves. The average period of the first four infrasonic waves is 443 s with propagation speed of 321 m/s. The azimuth angle of this event has been estimated by applying the progressive multi-channel correlation(PMCC) method to process the received signals. During continuous monitoring, the infrasonic waves propagating along and opposite to the direction towards the Kunming array around the earth are recorded respectively.