Gaussian unitary ensembles with two jump discontinuities,PDEs, and the coupled Painlevé II and IV systems

We consider the Hankel determinant generated by the Gaussian weight with two jump discontinuities. Utilizing the results of Min and Chen [Math. Methods Appl Sci. 2019;42:301‐321] where a second‐order partial differential equation (PDE) was deduced for the log derivative of the Hankel determinant by using the ladder operators adapted to orthogonal polynomials, we derive the coupled Painlevé IV system which was established in Wu and Xu [arXiv: 2002.11240v2] by a study of the Riemann‐Hilbert problem for orthogonal polynomials. Under double scaling, we show that, as , the log derivative of the Hankel determinant in the scaled variables tends to the Hamiltonian of a coupled Painlevé II system and it satisfies a second‐order PDE. In addition, we obtain the asymptotics for the recurrence coefficients of orthogonal polynomials, which are connected with the solutions of the coupled Painlevé II system.     

A Mechanistic Study of the Multiple Roles of Oleic Acid in the Oil-Phase Synthesis of Pt Nanocrystals

Oleic acid (OAc) is commonly used as a surfactant and/or solvent for the oil-phase synthesis of metal nanocrystals but its explicit roles are yet to be resolved. Here, we report a systematic study of this problem by focusing on a synthesis that simply involves heating of Pt(acac)₂ in OAc for the generation of Pt nanocrystals. When heated at 80 °C, the ligand exchange between Pt(acac)₂ and OAc leads to the formation of a Pt^II–oleate complex that serves as the actual precursor to Pt atoms. Upon increasing the temperature to 120 °C, the decarbonylation of OAc produces CO, which can act as a reducing agent for the generation of Pt atoms and thus formation of nuclei. Afterwards, several catalytic reactions can take place on the surface of the Pt nuclei to produce more CO, which also serves as a capping agent for the formation of Pt nanocrystals enclosed by {100} facets. The emergence of Pt nanocrystals further promotes the autocatalytic surface reduction of Pt^II precursor to enable the continuation of growth. This work not only elucidates the critical roles of OAc at different stages in a synthesis of Pt nanocrystals, but also represents a pivotal step forward toward the rational synthesis of metal nanocrystals.     

Twist and sliding dynamics between interpenetrated frames in Ti-MOF revealing high proton conductivity

We report the design and synthesis of a titanium catecholate framework, MOF-217, comprised of 2,4,6-tri(3,4-dihydroxyphenyl)-1,3,5-triazine (TDHT) and isolated TiO₆ clusters, with 2-fold interpenetrated srs topology. The dynamics of the organic linker, breaking the C_3h symmetry, allowed for reversible twist and sliding between interpenetrated frames upon temperature change and the inclusion of small molecules. Introduction of 28 wt% imidazole into the pores of MOF-217, 28% Im-in-MOF-217, resulted in four orders of magnitude increase in proton conductivity, due to the appropriate accommodation of imidazole molecules and their proton transfer facilitated by the H-bond to the MOF structure across the pores. This MOF-based proton conductor can be operated at 100 °C with a proton conductivity of 1.1 × 10⁻³ S cm⁻¹, standing among the best performing anhydrous MOF proton conductors at elevated temperature. The interframe dynamics represents a unique feature of MOFs that can be accessed in the future design of proton conductors.

Twist and sliding dynamics observed in a titanium catecholate MOF induced by imidazole for efficient proton conduction.     

Cross‐Linked Aptamer–Lipid Micelles for Excellent Stability and Specificity in Target‐Cell Recognition

The specific binding ability of DNA–lipid micelles (DLMs) can be increased by the introduction of an aptamer. However, supramolecular micellar structures based on self‐assemblies of amphiphilic DLMs are expected to demonstrate low stability when interacting with cell membranes under certain conditions, which could lead to a reduction in selectivity for targeting cancer cells. We herein report a straightforward cross‐linking strategy that relies on a methacrylamide branch to link aptamer and lipid segments. By an efficient photoinduced polymerization process, covalently linked aptamer–lipid units help stabilize the micelle structure and enhance aptamer probe stability, further improving the targeting ability of the resulting nanoassembly. Besides the development of a facile cross‐linking method, this study clarifies the relationship between aptamer–lipid concentration and the corresponding binding ability.     

醇预处理载体制备的 Ir-Re/SiO2催化剂上甘油氢解反应

甘油是生物柴油的副产物,将其转化为高附加值的化学品,能提高生物柴油产业的经济性.1,3-丙二醇是聚酯和聚氨酯的单体,也用于合成医药和用作有机合成中间体,甘油直接催化氢解反应制1,3-丙二醇极具发展潜力.另外,甘油是生物质转化的重要平台分子之一,与目标产物的分子结构相比较,生物质平台分子通常含有过多的含氧基团,尤其是多余的羟基,通过甘油氢解反应研究多羟基的选择性活化和脱除,可以加深对生物质脱氧规律的认识.因此,研究甘油氢解反应制1,3-丙二醇催化剂和工艺,不仅具有潜在的应用前景,而且具有重要理论价值.然而,目前的甘油氢解催化剂性能还不够高,我们希望通过一些表面改性的方法处理载体硅胶,从而改变金属前驱体与载体表面的作用.因此,本文使用 C1–C4的正构醇处理硅胶载体,其负载的 Ir-Re催化剂上甘油氢解反应转化率从42.7%提高到59.5%,仲羟基脱除收率从21.6%提高到28.3%.研究发现,当处理载体所用正构醇的碳数从1增加到3时,对应催化剂上甘油转化率逐渐增加至最高;但当使用更正丁醇时,对应催化剂上甘油转化率下降.为了探究催化剂活性改变的原因,我们首先采用红外光谱(FT-IR)和氮气物理吸附确定烷氧基基团嫁接到硅胶载体上.程序升温还原结果发现,预处理载体相应的催化剂开始还原温度降低,表明在这些催化剂上形成了颗粒尺寸较小的Ir粒子. X-射线衍射分析发现,在新鲜的和使用后的催化剂上均未检测出Re物种的衍射峰,说明Re高度分散于催化剂表面.吸附吡啶的FT-IR结果表明,未处理和丙醇预处理硅胶负载的催化剂上均没有强酸位,它们的B/L酸比值相近,约为3.3.催化剂的吸附COFT-IR结果表明, CO线性吸附于Ir/SiO2催化剂上的主要吸收峰位置在2084 cm–1;而Re的加入使得该吸收峰红移,表明Ir和ReOx物种之间存在相互作用.透射电镜(TEM)、H2-程序升温脱附和NH3-程序升温脱附结果发现,醇预处理催化剂上具有更多的Ir-ReOx界面,而界面位点的数量与甘油转化率大小一致,表明Ir-ReOx位点可能就是甘油氢解的活性中心.反应后催化剂的TEM结果表明,醇预处理催化剂上的Ir颗粒要小于未处理催化剂的,其中丙醇预处理硅胶负载的催化剂上Ir粒径最小.这是由于醇处理催化剂上存在很多孤立的Si–OH,它们与金属前驱体相互作用有利于形成较小的金属颗粒.这些孤立的Si-OH则是由于表面烷氧基基团的隔离作用所形成的.当处理载体所用正构醇的碳数从1增加到3时,烷氧基的碳链变长,分隔作用越好,阻止金属前驱体聚集的程度越强,因而Ir物种和Re物种的分散度增加.但是当处理醇的碳数增加到4时,形成的表面烷氧基基团可能阻止了Re物种和Ir物种间相互作用,从而使得Ir和Re物种的分散度均降低,相应催化剂活性随之降低.     

MMW Source CAD in Quasi-Optical Resonator

This paper presents a quasi-optical resonator that design methode basic on IBM PC computer (CAD). There is an exellent method to calculate global optima of the fundamental mode power, fractional power of the fundamental mode and combining efficiency etc. It also presents a process of CAD of microcomputer.     

Efficient Degradation of Iopromide by Using Sulfite Activated with Mackinawite

Iopromide (IOP), an iodinated X-ray contrast medium (ICM), is identified as a precursor to iodide disinfection byproducts that have high genotoxicity and cytotoxicity to mammals. ICM remains persistent through typical wastewater treatment processes and even through some hydroxyl radical-based advanced oxidation processes. The development of new technologies to remove ICMs is needed. In this work, mackinawite (FeS)-activated sulfite autoxidation was employed for the degradation of IOP-containing water. The experiment was performed in a 500 mL self-made temperature-controlled reactor with online monitoring pH and dissolved oxygen in the laboratory. The effects of various parameters, such as initial pH values, sulfite dosages, FeS dosages, dissolved oxygen, and inorganic anions on the performance of the treatment process have been investigated. Eighty percent of IOP could be degraded in 15 min with 1 g L⁻¹ FeS, 400 μmol L⁻¹ sulfite at pH 8, and high efficiency on the removal of total organic carbon (TOC) was achieved, which is 71.8% via a reaction for 1 h. The generated hydroxyl and oxysulfur radicals, which contributed to the oxidation process, were identified through radical quenching experiments. The dissolved oxygen was essential for the degradation of IOP. The presence of Cl⁻ could facilitate IOP degradation, while NO₃⁻ and CO₃²⁻ could inhibit the degradation process. The reaction pathway involving H-abstraction and oxidative decarboxylation was proposed, based on product identification. The current system shows good applicability for the degradation of IOP and may help in developing a new approach for the treatment of ICM-containing water.     

Highly Dispersed and Small‐Sized Nickel(II) Hydroxide Co‐Catalyst Prepared by Photodeposition for Hydrogen Production

Photodeposition has been widely used as a mild and efficient synthetic method to deposit co‐catalysts. It is also worth studying how to synthesize non‐noble metal photocatalysts with uniform dispersion. Different synthetic conditions in photodeposition have a certain influence on particle size distribution and photocatalytic activity. Therefore, we designed experiments to prepare the inexpensive composite photocatalyst Ni(OH)₂/g‐C₃N₄ by photodeposition. The Ni(OH)₂ co‐catalysts disperse uniformly with particle sizes of about 10 nm. The photocatalytic hydrogen production rate of Ni(OH)₂/g‐C₃N₄ reached about 19 mmol g^?1 h^?1, with the Ni(OH)₂ deposition amount about 1.57 %. During 16 h stability testing, the rate of hydrogen production did not decrease significantly. The composite catalyst also revealed a good hydrogen production performance under sunlight. The Ni(OH)₂ co‐catalyst enhanced the separation ability of photogenerated carriers, which was proved by surface photovoltage and fluorescence analysis.     

Effect of energy dependent cross-section on flow velocity measurements with charge exchange spectroscopy in magnetized plasma

Charge exchange spectroscopy (CXS) is widely used to measure plasma flow velocity. Accurate measurement is heavily affected by energy dependent cross section between neutral atoms and impurity ions. One symmetric layout of poloidal CXS is applied on Large Helical Device. Correction velocity due to the cross section is exacted from total velocity when actual plasma flow velocity is acquired with the benefit of this layout. A linear relationship between correction velocity and ion temperature is observed. Abundant discharges with wide plasma conditions are investigated and the ratio of correction velocity to ion temperature with the same beam energy shows the normal distribution. The impact of beam energy on the ratio of correction velocity to ion temperature of the carbon system and the hydrogen system is discovered based upon the statistics. Effective emission coefficient (Q) from Atomic Data and Analysis Structure (ADAS) is utilized to study the dependence of correction velocity on Q. The relationship in which the ratio of correction velocity to ion temperature increases linearly with the increasing normalized effective emission coefficient ((1/Q)dQ/dv) is observed. Experimental (1/Q)dQ/dv is obtained according to this observation, and comparison with different fractions of n?=?2 excited state is also discussed. The influence of different receivers (carbon and hydrogen) is also presented. The experimental (1/Q)dQ/dv from the carbon system decreases with beam energy decreasing when beam energy is less than 30 keV/amu. This tendency of (1/Q)dQ/dv at low beam energy indicates the existence of the contribution of n?=?2 excited state donors to the cross section.