Cobalt–Nitrogen‐Doped Helical Carbonaceous Nanotubes as a Class of Efficient Electrocatalysts for the Oxygen Reduction Reaction

The oxygen reduction reaction (ORR) is of significant importance in the development of fuel cells. Now, cobalt–nitrogen‐doped chiral carbonaceous nanotubes (l/d ‐CCNTs‐Co) are presented as efficient electrocatalysts for ORR. The chiral template, N‐stearyl‐l/d ‐glutamic acid, induces the self‐assembly of well‐arranged polypyrrole and the formation of ordered graphene carbon with helical structures at the molecular level after the pyrolysis process. Co was subsequently introduced through the post‐synthesis method. The obtained l/d ‐CCNTs‐Co exhibits superior ORR performance, including long‐term stability and better methanol tolerance compared to achiral Co‐doped carbon materials and commercial Pt/C. DFT calculations demonstrate that the charges on the twisted surface of l/d ‐CCNTs are widely separated; as a result the Co atoms are more exposed on the chiral CCNTs. This work gives us a new understanding of the effects of helical structures in electrocatalysis.     

A new cinnamic acid glycoside from roots of Heracleum dissectum

From the roots of Heracleum dissectum Lebb., one new cinnamic acid glycoside derivative named dissectumoside (1), together with eight known compounds including three phenolics, three phenolic glycosides and two phenylpropanoic glycoside were isolated using various chromatographic methods. Among them compound 2–9 was isolated from the plant for the first time. Their structures were elucidated and identified on the basis of their physicochemical properties and by extensive analyses of NMR spectroscopy and high-resolution mass spectrometry. The results of triglyceride accumulation screening in 3T3-L1 cells showed that compounds 1, 5 and 9 exhibited significantly accelerating activities of adipogenesis in adipocytes.     

A Two‐Dimensional Ruddlesden–Popper Perovskite Nanowire Laser Array based on Ultrafast Light‐Harvesting Quantum Wells

Miniaturized nanowire nanolasers of 3D perovskites feature a high gain coefficient; however, room-temperature optical gain and nanowire lasers from 2D layered perovskites have not been reported to date. A biomimetic approach is presented to construct an artificial ligh-harvesting system in mixed multiple quantum wells (QWs) of 2D-RPPs of (BA)₂(FA)_n−1Pb_nBr_3n+1, achieving room-temperature ASE and nanowire (NW) lasing. Owing to the improvement of flexible and deformable characteristics provided by organic BA cation layers, high-density large-area NW laser arrays were fabricated with high photostability. Well-controlled dimensions and uniform geometries enabled 2D-RPPs NWs functioning as high-quality Fabry–Perot (FP) lasers with almost identical optical modes, high quality (Q) factor (ca. 1800), and similarly low lasing thresholds.     

Metal-free catalytic enantioselective silylation of aromatic aldehydes in water

One-step access to chiral α-hydroxysilanes by metal-free catalytic enantioselective silylation of aromatic aldehydes in water was achieved for the first time.     

Influence of monomer structure on the properties of blue phase liquid crystal

In this paper, four kinds of polymer-stabilized blue phase liquid crystals (PS-BPLCs) with different monomer were designed and prepared. The morphology, temperature ranges and electro-optical properties of the blue phase were studied and discussed. The temperature ranges of four BPLCs are more than 90°C, and all samples can be stabilized well at room temperature. Referring to electro-optical performance, on-state voltage for mono-functional monomers systems is reduced from 75 V to 65 V at 497 nm. On-state voltage for tri-functional monomers systems is reduced from 107 V to 85 V at 497 nm. These results are helpful to the application of display and photonic devices.     

不同KIT-6老化温度制备的介孔MnO2孔径对其催化氧化乙醇的影响

乙醇既是一种被广泛使用的溶剂, 也大量存在于乙醇燃料车尾气中. 它是一种挥发性有机化合物(VOCs), 能直接参与光化学反应影响空气质量, 因此去除乙醇很有必要. 催化氧化法消除VOCs 是很有前景的技术, 其关键是催化剂的制备和筛选. 目前, 用于乙醇催化氧化的催化剂主要是贵金属催化剂(Pt, Pd, Rh, Au, Ag)和金属氧化物催化剂(Cu, Mn, Co, Fe),此外, 还有一些钙钛矿型催化剂. MnO2具有多种结构(α, β, γ和δ)和形貌(管状, 棒状, 球状和孔状等). 不同形貌和结构的MnO2具有不同的VOCs 催化氧化性能. 我们已经报道了介孔MnO2, 特别是三维有序介孔MnO2, 具有良好的乙醇催化氧化活性, 有一定的应用前景. 然而, KIT-6老化温度对介孔MnO2孔径的影响, 以及MnO2孔径对催化氧化乙醇活性的影响尚不清楚. 如果通过调整KIT-6老化温度改变介孔MnO2的孔径, 很有可能改善催化剂低温还原性, 氧物种和活性位等, 进而提高其催化性能. 本文以40, 100和150 ℃ 老化合成的KIT-6介孔硅为硬模板, 制备出不同的介孔MnO2催化剂, 分别记作Mn-40, Mn-100和Mn-150, 用于乙醇氧化反应中, 讨论了催化剂孔径对其活性的影响. 采用X 射线粉末衍射(XRD), 氮气吸附-脱附(BET), 扫描电子显微镜(SEM), 氢气程序升温还原(H2-TPR), 氧气程序升温脱附(O2-TPD), X 射线光电子能谱(XPS)等技术对催化剂进行了表征. XRD 广角结果表明, 各催化剂均具有软锰矿型MnO2晶相, 其中Mn-40催化剂存在少量Mn2O3晶相. XRD 小角和SEM结果表明, 各催化剂均为介孔材料, Mn-100催化剂的有序度和对称性最好, KIT-6老化温度的改变使Mn-40和Mn-150的有序度和对称性降低. BET 结果表明, Mn-40, Mn-100和Mn-150分别具有三孔, 双孔和单孔体系. 随着KIT-6老化温度的降低, KIT-6的孔径降低, 而介孔MnO2催化剂的孔径增加. XPS 结果表明, Mn-40因少量Mn2O3晶相的存在而具有较多的Mn3+阳离子和表面晶格氧物种, 能增加催化剂氧空位的数量, 有利于氧物种的吸附, 活化和迁移, 从而增强催化活性. TPR 和TPD表明, Mn-40催化剂具有良好的低温还原性, 它的氧物种容易在低温下脱附并参与氧化反应. 催化剂活性测试结果表明, 随着介孔MnO2催化剂的孔径增加, 其活性增加. 催化剂孔径和活性从大到小的顺序为Mn-40>Mn-100>Mn-150. 以老化温度为40 ℃的KIT-6模板制备的Mn-40催化剂, 具有较高的乙醇转化频率 (TOF), 120 ℃的TOF 为0.11 s-1. Mn-40催化剂具有良好的乙醇氧化催化活性归因于较大孔径, 其孔径呈三孔体系分布, 最大孔径分布在1.9, 3.4和6.6 nm 处, 三孔体系的形成是因为催化剂孔道的对称性和有序度降低. 此外, Mn-40催化剂具有良好的乙醇氧化催化活性也归因于由较多Mn3+阳离子引起的较多表面晶格氧物种和氧空位以及较好的低温还原性.     

Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid

In this paper, we study a nonlinear first-order singularly perturbed Volterra integro-differential equation with delay. This equation is discretized by the backward Euler for differential part and the composite numerical quadrature formula for integral part for which both an a priori and an a posteriori error analysis in the maximum norm are derived. Based on the a priori error bound and mesh equidistribution principle, we prove that there exists a mesh gives optimal first order convergence which is robust with respect to the perturbation parameter. The a posteriori error bound is used to choose a suitable monitor function and design a corresponding adaptive grid generation algorithm. Furthermore, we extend our presented adaptive grid algorithm to a class of second-order nonlinear singularly perturbed delay differential equations. Numerical results are provided to demonstrate the effectiveness of our presented monitor function. Meanwhile, it is shown that the standard arc-length monitor function is unsuitable for this type of singularly perturbed delay differential equations with a turning point.     

A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations

In this paper, we develop a two-grid method (TGM) based on the FEM for 2D nonlinear time fractional two-term mixed sub-diffusion and diffusion wave equations. A two-grid algorithm is proposed for solving the nonlinear system, which consists of two steps: a nonlinear FE system is solved on a coarse grid, then the linearized FE system is solved on the fine grid by Newton iteration based on the coarse solution. The fully discrete numerical approximation is analyzed, where the Galerkin finite element method for the space derivatives and the finite difference scheme for the time Caputo derivative with order $\alpha\in(1,2)$ and $\alpha_{1}\in(0,1)$. Numerical stability and optimal error estimate $O(h^{r+1}+H^{2r+2}+\tau^{\min\{3-\alpha,2-\alpha_{1}\}})$ in $L^{2}$-norm are presented for two-grid scheme, where $t,$ $H$ and $h$ are the time step size, coarse grid mesh size and fine grid mesh size, respectively. Finally, numerical experiments are provided to confirm our theoretical results and effectiveness of the proposed algorithm.     

A Characteristic Mixed Finite Element Two-Grid Method for Compressible Miscible Displacement Problem

A nonlinear parabolic system is derived to describe compressible miscible displacement in a porous medium. The concentration equation is treated by a mixed finite element method with characteristics (CMFEM) and the pressure equation is treated by a parabolic mixed finite element method (PMFEM). Two-grid algorithm is considered to linearize nonlinear coupled system of two parabolic partial differential equations. Moreover, the $L^q$ error estimates are conducted for the pressure, Darcy velocity and concentration variables in the two-grid solutions. Both theoretical analysis and numerical experiments are presented to show that the two-grid algorithm is very effective.     

截断调和Bergman空间上小Hankel算子的代数性质

本文主要研究了截断调和Bergman空间$b_{n}^{2}$上以拟齐次函数为符号的小Hankel算子的有限秩乘积、换位子和半换位子问题.我们得到以拟齐次函数为符号的小Hankel算子的换位子和半换位子的秩总是有限的良好结论.