Synthesis of bio‐based poly (cyclotriphosphazene‐resveratrol) microspheres acting as both flame retardant and reinforcing agent to epoxy resin

A highly cross‐linked poly (cyclotriphosphazene‐resveratrol) microsphere (PRV) was synthesized by using hexachlorocyclotriphosphazene (HCCP) and bio‐based resveratrol (REV) as raw materials, and the obtained PRV microspheres were applied to improve the flame retardancy and mechanical property of epoxy resin (EP). The TGA results showed that the PRV microsphere is an excellent charring agent and the char yield is as high as 62% at 800°C. The incorporation of PRV makes the initial degradation earlier yet significantly increases the char residue of EP composites. Moreover, the introduction of PRV microspheres into EP greatly promoted the flame retardancy performance. Under 3% of addition of PRV microspheres, the peak heat release rate (PHRR) and total heat release (THR) were decreased by 58.3% and 29.6%, respectively, the limited oxygen index (LOI) value was increased to 29.7% from 25.3% of pure EP. In addition, because of the uniform distribution in EP matrix and the enhancing effect of PRV microspheres, the mechanical properties including tensile modulus of EP composites were strengthened. PRV microspheres in this paper provide a possibility to synthesize a dual functional filler, which acts as both flame retardant and strengthening agent.     

An exponential wave integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator

In this article, an exponential wave integrator Fourier pseudospectral (EWI-FP) method is proposed for solving the nonlinear Schrödinger equation with wave operator. The numerical method is based on a Deuflhard-type exponential wave integrator for temporal integration and the Fourier pseudospectral method for spatial discretizations. The scheme is fully explicit and very efficient thanks to the fast Fourier transform. Numerical analysis of the proposed EWI-FP method is carried out and rigorous error estimates are established by means of the mathematical induction. Numerical results are reported to confirm the theoretical studies.     

On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems

In this paper, firstly, the finite difference method is explored for the fourth-order fractional diffusion-wave system. The method is proved to be uniquely solvable, stable and convergent in l_∞-norm by the energy method. Then we examine a subdiffusion system and present the numerical analysis using a different method. Numerical experiments are provided to demonstrate the accuracy and efficiency of the proposed schemes.     

Recent progress in investigations of surface structure and properties of solid oxide materials with nuclear magnetic resonance spectroscopy

In this review, some of the latest research developments on the characterization of the structure and properties of oxide materials by applying solid-state nuclear magnetic resonance spectroscopy (NMR), including the use of dynamic nuclear polarization (DNP) NMR, ¹⁷O NMR combined with surface selective labeling and ³¹P NMR coupled with phosphorous-containing probe molecules, are discussed.     

Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system

In general, proofs of convergence and stability are difficult for symplectic schemes of nonlinear equations. In this paper, a symplectic difference scheme is proposed for an initial-boundary value problem of a coupled nonlinear Schrödinger system. An important lemma and an induction argument are used to prove the unique solvability, convergence and stability of numerical solutions. An iterative algorithm is also proposed for the symplectic scheme and its convergence is proved. Numerical examples show the efficiency of the symplectic scheme and the correction of our numerical analysis.     

Controlled assembly of poly(vinyl pyrrolidone) fibers through an electric-field-assisted electrospinning method

In this paper, we develop an effective electric-field-assisted electrospinning method for the controlled deposition of poly(vinyl pyrrolidone) fibers. The electric field distribution becomes uniform and convergent due to the introduction of a metal plate and a focusing aid into the conventional electrospinning setup. As a result, the bending instability is suppressed and the jet is restricted to moving to the collector along a straight line. Helical structure of fibers with lateral width of about 10 μm is formed and aligned on a rotating substrate. The morphology of helical fibers can also be effectively adjusted by varying the collecting velocity.     

求解耦合Schrdinger方程组的数值逼近算法(英文)

对耦合Schrdinger方程组提出一个非耦合的线性化差分格式并对其进行分析.证明格式保持原方程组的守恒律,在先验估计的基础上证明格式依L2模的绝对稳定性和无条件二阶收敛性.对孤波碰撞的各种现象进行模拟.     

Hydrophobic Functionalization of ZnO Nanosheets by In Situ Center‐Substituted Synthesis for Selective Photocatalysis under Visible Irradiation

The selective degradation of specific substances in mixed contaminants is quite challenging. And a general approach for sensitized oxide semiconductor relies on dip‐coating method with sensitizer. Here, hydrophilic 2D, nest‐like architecture ZnO (ZnO NA) was hydrophobicly functioned by monomolecular–layer tetraphenylporphyrin zinc (ZnTPP), where ZnTPP was synthesized by means of an in situ center‐substituted (ISCS) process., i.e., the hydrogen atoms in the core of metal‐free tetraphenylporphyrin (H₂TPP) are substituted by the unsaturated zinc ions in ZnO NAs. ZnTPP/ZnO NA was exhibited with significant hydrophobicity, benefitting to absorb hydrophobic phenol (PL). Further, it is realized to selectively photodegradate PL in the mixture by ZnTPP/ZnO NAs under visible irradiation. Note that the rate of degradation to hydrophobic PL by ZnTPP/ZnO NA is 9.17 times of that for ZnO NA within 150 min; on the contrary, the degradation rate of hydrophilic rhodamine B (RhB) by ZnTPP/ZnO is reduced by 40%. Radiative lifetime of photogenerated charges is obviously increased by ZnTPP/ZnO NA compared with that of ZnTPP, indicating the effective charge separation for ZnTPP/ZnO NAs. In addition, ZnTPP/ZnO NA produced more superoxide radicals (·O₂^?) in comparison to ZnO NA. With surface functionalization, the feasibility of selective photocatalysis under visible irradiation is demonstrated.     

十六烷基膦酸配合的复合氧化物纳米催化剂稳定的O/W乳液中甲苯单一氧化为苯甲醛（英文）

苯甲醛是一种用途广泛的重要化学品,通过O₂氧化甲苯制取苯甲醛是最佳生产途径,也是近几十年来工业界迫切需要的反应之一.虽然该反应在苄基上结合一个氧再脱除两个氢即可,对该反应的多相催化过程也已经研究了几十年,但其性能仍远远低于工业要求.当前的工业过程主要有甲苯氯化水解法和甲苯均相氧化法两种,但都存在严重的环境污染和腐蚀问题,且产品中含有少量卤素,阻碍了其在诸如香水或食品中的高端应用.近年来,以O₂作为氧化剂及Pd,Au,Pt,Ag,Ru等贵金属或它们间的合金为催化剂的甲苯液相氧化反应研究取得了一些很好的进展,但仍然不能在高甲苯转化率下高选择性地得到苯甲醛.本课题组曾报道了一种高效的混相催化体系,以O₂作为氧化剂将甲苯专一地催化氧化为苯甲醛,其中十六烷基膦酸-氧化铁(HDPA-FeO_x)纳米颗粒处在甲苯和水的界面上,稳定了该O/W类皮克林乳液(Pickering).为了进一步提高催化剂晶格氧的移动性以提升催化活性,本文采用Mn, Co, Ni, Cu, Cr, Mo, V和Ti等一系列金属氧化物对催化剂H...     

ON THE ERROR-SUM FUNCTION OF ALTERNATING LǖIROTH SERIES

The error-sum function of alternating Lǖroth series is introduced, which, to some extent, discerns the superior or not of an expansion comparing to other expansions. Some elementary properties of this function are studied. Also, the Hausdorff dimension of graph of such function is determined.