Sharp inequalities for the generalized elliptic integrals of the first kind

The Ramanujan Journal - Elliptic integrals are of cardinal importance in mathematical analysis and in the field of applied mathematics. Since they cannot be represented by the elementary...     

基体分离-电感耦合等离子体原子发射光谱法 测定精铋中10种杂质元素

试验采用电感耦合等离子体发射光谱法测定精铋中Cd、Co、Cu、Fe、Mg、Mn、Ni、Pb、Ti、Zn十种杂质元素,样品用优级纯硝酸溶解,往60℃左右的溶液中,滴加氨水(1+1),控制pH值在3.0~4.0。考察了温度、酸度、沉降时间对铋的去除率和对检测结果的影响。根据分析线的选择原则,结合待测元素的检测范围,选择无干扰、峰形对称、灵敏度适中的谱线作为分析线Cd 228.802nm、Co 237.862nm、Cu 324.754nm、Fe 259.940nm、Mg 279.553nm、Mn 257.610nm、Ni 231.604nm、Pb 182.205nm、Ti 323.452nm、Zn 213.856nm。各元素的质量浓度在一定范围内与其发射强度呈线性,校准曲线的线性相关系数均大于0.9997,方法中各元素检出限为0.002μg/g~0.253μg/g。?按照实验方法测定精铋实际样品,结果的相对标准偏差(RSD,n=9)为2.5%~9.8%,加标回收率为95.0%~102.2%,满足检测要求。     

弹簧参与的微小振动一定是简谐运动吗

振动和波动是生活中的一种非常普遍而重要的运动形式,其中简谐振动是最简单、最基本的运动,弹簧振子是研究简谐运动的最基本模型.在研究弹簧参与的微小振动时,部分学生不能很好的判定弹簧参与的微小振动是否为简谐运动.本文讨论了系统作简谐运动的充要条件,并通过4个具体例子详细分析了弹簧参与的微小振动.     

群集建筑中大跨裙摆屋盖风荷载特性的数值模拟研究

以苏州太平金融大厦为工程背景,针对其大跨裙摆屋盖的风荷载作用,首先采用RNG k-ε模型模拟分析了其平均风压分布规律,以及风向变化对屋盖表面风荷载体型系数的影响;其次,引入干扰因子IF,探讨了周边建筑对大跨裙摆屋盖风荷载的气动干扰作用。结果表明:0°风向下,走廊上方屋盖两侧区域出现“上吸下顶”的叠加作用;90°风向下屋盖北侧飘带末端区域受到狭道风效应出现正压集中现象;风向变化对大跨裙摆屋盖的风荷载体型系数分布影响较大;且周围建筑物对大跨裙摆屋盖的气动干扰效应明显,主要表现为风压“遮挡效应”,而局部区域表现为风压“放大效应”。     

沙尘天气对AAS、ICP-AES测定的影响

以大型仪器原子吸收光谱仪、电感耦合等离子体发射光谱仪为例,说明当沙尘天气发生时,空气中的粉尘和微小颗粒进入到仪器内部会引起空气压缩机故障、射频发生器的传感器不工作、助燃气堵塞等一系列问题;并针对这些问题进行处理,给以后仪器的使用和保养提供相应的参考。     

基于可调谐二极管激光吸收光谱波长调制技术在线测量燃烧场温度

 介绍了可调谐二极管激光吸收光谱（TDLAS）波长调制技术的测温原理。通过选择水在1 397.75 nm和1 397.87 nm处两条邻近的吸收线,运用多功能数据采集卡对二极管激光器进行控制和信号采集,实现了TDLAS波长调制技术对标定燃烧炉甲烷/空气预混火焰温度的实时在线测量,测量重复频率为250 Hz。分析了温度测量数据抖动的原因,结果表明燃烧过程中火焰本身温度的抖动是测量结果波动的主要原因,测量系统的A类标准不确定度小于53 K。     

Inequalities and mathematical properties of uncertain variables

Uncertain variables are measurable functions from uncertainty spaces to the set of real numbers. In this paper, some important inequalities of uncertain variables, for example, extension of Jensen’s inequality, Liapounov’s inequality, and refined Markov inequalities are presented. In addition, some mathematical properties of uncertain variables are also given and proven.     

A fluorescence based immunoassay for galectin-4 using gold nanoclusters and a composite consisting of glucose oxidase and a metal-organic framework

The authors describe a fluorescence immunoassay for galectin-4, a candidate biomarker for various cancers. Glucose oxidase was encapsulated into a zeolitic imidazolate framework to give a composite (GOx/ZIF-8 composite) that acts as a signal-transduction tag via a biomimetic mineralization process. After modification of the composite with streptavidin, it binds biotinylated antibody against galectin-4. In the immunoassay, the response to galectin-4 results from the enzymatic oxidation of glucose. This reaction produces hydrogen peroxide (H₂O₂) that reacts with iron(II) ions to generate hydroxy radical (?OH), which leads to the quenching of the fluorescence of gold nanoclusters (AuNCs). Accordingly, the fluorescence quenching of AuNCs depends on the concentration of target galectin-4. The GOx/ZIF-8 composite has a high loading capacity for GOx at uncompromised enzymatic activity. The fluorescence of AuNCs is sensitively quenched by ?OH radicals. Galectin-4 can be detected by this method in concentrations as low as 10 pg·mL^?1. It is expected that this kind of enzyme/MOF composite-based immunoassay has a wide scope in that it may be adapted to other low-abundance proteins and biomarkers.

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Graphical abstract Schematic of a fluorescence immunoassay for galectin-4, a candidate biomarker for various cancers. It is based on a composite consisting of glucose oxidase and a metal-organic framework (GOx/ZIF-8 composite) as well as gold nanoclusters (AuNC)-iron(II) system.

     

Synthesis and characterization of 2D transition metal dichalcogenides: Recent progress from a vacuum surface science perspective

Layered transition metal dichalcogenides (TMDs) are a diverse group of materials whose properties vary from semiconducting to metallic with a variety of many body phenomena, ranging from charge density wave (CDW), superconductivity, to Mott-insulators. Recent interest in topologically protected states revealed also that some TMDs host bulk Dirac- or Wyle-semimetallic states and their corresponding surface states. In this review, we focus on the synthesis of TMDs by vacuum processes, such as molecular beam epitaxy (MBE). After an introduction of these preparation methods and categorize the basic electronic properties of TMDs, we address the characterization of vacuum synthesized materials in their ultrathin limit-mainly as a single monolayer material. Scanning tunneling microscopy and angle resolved photoemission spectroscopy has revealed detailed information on how monolayers differ in their properties from multi-layer and bulk materials. The status of monolayer properties is given for the TMDs, where data are available. Distinct modifications of monolayer properties compared to their bulk counterparts are highlighted. This includes the well-known transition from indirect to direct band gap in semiconducting group VI-B TMDs as the material-thickness is reduced to a single molecular layer. In addition, we discuss the new or modified CDW states in monolayer VSe₂ and TiTe₂, a Mott-insulating state in monolayer 1T-TaSe₂, and the monolayer specific 2D topological insulator 1T′-WTe₂, which gives rise to a quantum spin Hall insulator. New structural phases, that do not exist in the bulk, may be synthesized in the monolayer by MBE. These phases have special properties, including the Mott insulator 1T-NbSe₂, the 2D topological insulators of 1T′-MoTe₂, and the CDW material 1T-VTe₂. After discussing the pure TMDs, we report the properties of nanostructured or modified TMDs. Edges and mirror twin grain boundaries (MTBs) in 2D materials are 1D structures. In group VI-B semiconductors, these 1D structures may be metallic and their properties obey Tomonaga Luttinger quantum liquid behavior. Formation of Mo-rich MTBs in Mo-dichalcogenides and self-intercalation in between TMD-layers are discussed as potential compositional variants that may occur during MBE synthesis of TMDs or may be induced intentionally during post-growth modifications. In addition to compositional modifications, phase switching and control, in particular between the 1H and 1T (or 1T′) phases, is a recurring theme in TMDs. Methods of phase control by tuning growth conditions or by post-growth modifications, e.g. by electron doping, are discussed. The properties of heterostructures of TMD monolayers are also introduced, with a focus on lateral electronic modifications in the moiré-structures of group VI-B TMDs. The lateral potential induced in the moiré structures forms the basis of the currently debated moiré-excitons. Finally, we review a few cases of molecular adsorption on nanostructured monolayer TMDs. This review is intended to present a comprehensive overview of vacuum studies of fundamental materials' properties of TMDs and should complement the investigations on TMDs prepared by exfoliation or chemical vapor deposition and their applications.     

可搬运铷喷泉原子钟量子化轴磁场的设计与优化

喷泉钟量子化轴磁场的空间均匀性和时间稳定性是制约原子钟输出频率稳定度和不确定度的重要因素.从外磁场屏蔽、磁场线圈设计、线圈电流源稳定性等方面考虑,构建并优化设计了一套可搬运铷喷泉原子钟量子化轴磁场系统.为了消除环境磁场对量子化轴磁场的影响,使用5层坡莫合金磁屏蔽进行外磁场的屏蔽;利用4组对称的补偿线圈,通过计算给予合适的电流,获得喷泉钟内部30 cm原子自由飞行尺度内磁场波动小于1 nT;通过改善C场供电电流方式,从而优化量子化轴磁场的时间稳定性,磁场随时间的波动小于0.1 nT.优化后喷泉钟长期频率稳定度达2.9×10-16,磁场空间分布不均匀性带来的二阶塞曼频移不确定度为3.4×10-19,由磁场随时间波动带来的二阶塞曼频移的不确定度为5.1×10-17.