Diffusion bound and reducibility for discrete Schr?dinger equations with tangent potential

In this paper, we consider the lattice Schr?dinger equations $$i\dot q_n (t) = \tan \pi (n\alpha + x)q_n (t) + \varepsilon \left( {q_{n + 1} (t) + q_{n - 1} (t)} \right) + \delta v_n (t)\left| {q_n (t)} \right|^{2\tau - 2} q_n (t),$$ with ?? satisfying a certain Diophantine condition, x ?? ?/?, and ?? = 1 or 2, where v _n (t) is a spatial localized real bounded potential satisfying |v _n (t)| ? Ce^???|n|. We prove that the growth of H ¹ norm of the solution {q _n (t)}_n??? is at most logarithmic if the initial data {q _n (0)} _n??? ?? H ¹ for ? sufficiently small and a.e. x fixed. Furthermore, suppose that the linear equation has a time quasi-periodic potential, i.e., $$i\dot q_n (t) = \tan \pi (n\alpha + x)q_n (t) + \varepsilon \left( {q_{n + 1} (t) + q_{n - 1} (t)} \right) + \delta v_n \left( {\theta ^0 + t\omega } \right)q_n \left( t \right).$$ Then the linear equation can be reduced to an autonomous equation for a.e. x and most values of the frequency vectors ?? if ? and ?? are sufficiently small.     

丁二烯与丙烯腈共低聚反应中共聚物组成的控制

在二元共聚反应中,为了制备具有均匀组成的共聚物,对于分批聚合,在反应过程中须补加消耗较快的单体以保持单体的浓度比为常数。本工作提出了为控制共聚物组成在反应过程中补加单体的计算方法,它不仅适用于丁二烯与丙烯腈的共低聚反应,也适合于其它二元共聚反应。用这种方法制备了具有均匀组成的丁二烯与丙烯腈共低聚物。     

Fe(Ⅲ)-苯基荧光酮-溴化十六烷基三甲胺显色反应的研究与应用

本文研究了在溴化十六烷基三甲胺存在下，苯基荧光酮与铁的显色反应。试验结果表明，显色的适宜酸度为pH等于7.3至10．5，配合物的摩尔吸光系数为1．09×105L·mol-1·cm-1，铁量在0－6μg·25mL-1范围内符合比耳定律。用于试样中铁的测定，灵敏度高，且简便可靠。     

锂盐-锍镍试金-等离子质谱法测定黑色页岩中铂族元素

建立锍镍试金-等离子质谱法测定黑色页岩中铂族元素(PGEs)的方法。在不减少称样量的前提下,结合黑色页岩成分特点,调整试金配料,利用硝酸钾的氧化性,解决形成锍扣难的问题;利用四硼酸锂的助融性,使盐酸溶解锍扣后黑色沉淀量大幅度降低,用等离子质谱法测定黑色页岩中铂族元素。PGEs的线性相关系数均不小于0.9995。Pt,Pd,Rh,Ir,Ru的检出限分别为0.30,0.36,0.032,0.028,0.041 ng/g。用该方法测定实际样品,测定值与参考值一致,测定结果的相对标准偏差为1.2%~10.6%(n=10)。该方法满足地质矿产实验室测试质量管理规范(DZ/T 0130-2006)的要求,可用于黑色页岩中铂族元素的测定。     

Tailoring the d‐Band Centers Enables Co4N Nanosheets To Be Highly Active for Hydrogen Evolution Catalysis

Endowing materials with specific functions that are not readily available is always of great importance, but extremely challenging. Co₄N, with its beneficial metallic characteristics, has been proved to be highly active for the oxidation of water, while it is notoriously poor for catalyzing the hydrogen evolution reaction (HER), because of its unfavorable d‐band energy level. Herein, we successfully endow Co₄N with prominent HER catalytic capability by tailoring the positions of the d‐band center through transition‐metal doping. The V‐doped Co₄N nanosheets display an overpotential of 37 mV at 10 mA cm^?2, which is substantially better than Co₄N and even close to the benchmark Pt/C catalysts. XANES, UPS, and DFT calculations consistently reveal the enhanced performance is attributed to the downshift of the d‐band center, which helps facilitate the H desorption. This concept could provide valuable insights into the design of other catalysts for HER and beyond.     

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木材声发射信号与其内外部损伤情况存在一定的定量关系. 依据损伤理论和含有裂 纹以及缺陷的木材不同阶段的声发射特征,分别探讨并建立了受交变载荷和单向静载荷情况下以声发 射特征参数表示的木材损伤演变模型. 分析结果与木材的实际情况相一致,表明以声发射特 征参量建立的木材损伤演变模型对木材的损伤预测具有提前性与敏感性,而且木材的不均匀 性是其提前破坏的主要原因之一.     

Rhodium(III)-Catalyzed Atroposelective Synthesis of Biaryls by C−H Activation and Intermolecular Coupling with Sterically Hindered Alkynes

Reported herein is the atroposelective synthesis of biaryl NH isoquinolones by Rh^III-catalyzed C−H activation of benzamides and intermolecular [4+2] annulation for a broad scope of 2-substituted 1-alkynylnaphthalenes, as well as sterically hindered, symmetric diarylacetylenes. The axial chirality is constructed based on dynamic kinetic transformation of the alkyne in redox-neutral annulation with benzamides, with alkyne insertion being stereodetermining. The reaction accommodates both benzamides and heteroaryl carboxamides and proceeds in excellent regioselectivity (if applicable) and enantioselectivities (average 91.8 % ee). An enantiomerically and diastereomerically pure rhodacyclic complex was prepared and offers insight into enantiomeric control of the coupling system, wherein the steric interactions between the amide directing group and the alkyne substrate dictate both the regio- and enantioselectivity.     

Analysis of Vinyl Chloride in Vapor Phase of Mainstream Cigarette Smoke by GC–MS Under ISO and Health Canada Intensive Machine Smoking Regimens

Vinyl chloride (VC) in the vapor phase of mainstream cigarette smoke was determined under both International Organization for Standardization (ISO) and Health Canada intensive (HCI) machine smoking regimens, which was suspected to be carcinogenic compound. VC was collected by passing the mainstream cigarette smoke through a Cambridge Filter Pad (CFP) into cryogenic traps containing methanol. The impinger solutions were fortified with VC-d ₃ and analyzed by GC–MS. Limits of detection for vinyl chloride was 0.9 ng mL⁻¹ with the recovery in the range of 93.2–98.4 %. Moreover, the intra-day and inter-day precision was 7.39 and 9.77 %, respectively. Under HCI machine smoking regimen, the vinyl chloride yields in vapor phase of mainstream cigarette smoke were much higher and the average increase was greater than 100 % compared with those under ISO smoking condition.