2D Nb4N5 Nanosheets Synthesized by a Template Method

Niobium nitrides possess superconductivity and stable chemical stability, which render them desirable candidates for energy storage. Therefore, they deserve exploration for potential energy storage applications. Here we report on the synthesis of 2D Nb₄N₅ nanosheets by ammonization of NbS₂ nanosheets as templates at 700 °C. The obtained 2D Nb₄N₅ nanosheets retain their hexagon shape and display a porous structure with a pore size of 3.716 nm. These 2D Nb₄N₅ nanosheets exhibit capacitor behavior as electrode materials for energy storage. This study opens a new avenue in synthesizing 2D materials based on 2D templates.     

一种平面保凸插值构造光滑曲线的方法

Ａ．Ｍｅｈａｕｔｅ和Ｆ．Ｕｔｒｅｒａｓ（１９９４）给出了一种平面函数型保凸插值构造光滑曲线的方法（以下简称为Ｍ－Ｕ方法）．本文在利用其方法本质的基础上，给出了一种平面上参数型保凸插值构造光滑曲线的方法，同Ｍｅｈａｕｔｅ和Ｕｔｒｅｒａｓ的方法一样，这里的方法也有局部性．另外这种方法还可以构造平面上的封闭曲线．     

Antimicrobial polymers containing melamine derivatives. II. Biocidal polymers derived from 2‐vinyl‐4,6‐diamino‐1,3,5‐triazine

Poly(2‐vinyl‐4,6‐diamino‐1,3,5‐triazine) (PVDAT) and a series of poly(styrene‐co‐2‐vinyl‐4,6‐diamino‐1,3,5‐triazine) (PS‐co‐VDAT) copolymers were synthesized via conventional free‐radical polymerizations. The polymer structures were confirmed by Fourier transform infrared, NMR, and elemental analysis. The molecular weights were determined by gel permeation chromatography studies, and the thermal properties were characterized by differential scanning calorimetry and thermogravimetric analysis. After treatment with chlorine bleach, PVDAT and PS‐co‐VDAT provided potent antimicrobial functions against multidrug‐resistant Gram‐negative and Gram‐positive bacteria. The antimicrobial functions were durable for longer than 3 months and rechargeable for more than 50 times. The structure–property relationship of the polymers was further discussed. © 2005 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 43: 4089–4098, 2005     

Double-layer TiO2 inverse opal-based quantum dot-sensitized solar cells

Journal of Solid State Electrochemistry - The operation of dye-sensitized solar cells and quantum dot-sensitized solar cells (QDSSCs) depends strongly on the photoanode material employed. This is...     

Structurally Stable Ni(OH)2 Composite with Super Long-term Cycling Life for Aqueous High-performance Supercapacitor

We synthesized an electrochemical structurally stable composite electrode, containing Ni-doped Co(CO₃)_0.5OH ⋅ 0.11H₂O nanoneedles and nanoflake-/nanofrustum-like Ni(OH)₂ with highly hydrophilic group, leading to enhanced rare performance. The electrode exhibits an outstanding ultra-long cycle life of more than 140,000 cycles. Specially, the assembled aqueous hybrid supercapacitor presents more than 80 % capacity retention even after 170,000 cycles and high energy density of 44.5 Wh kg⁻¹. This work highlights a feasible strategy to design and develop high-efficiency electrodes via engineering on composition and nanostructure.     

三角域上Bernstein多项式的Lipschitz常数

设T是平面上以T₁,T₂,T₃为顶点的三角形,f(p)为定义在T上的函数,称Bⁿ(f,P):=(?)f(i/n,j/n,k/n)B_i,j,kⁿ(P),为f的n次Bernstein多项式,这儿B_i,j,kⁿ(P):(n!)/(i!j!k!)uⁱv^jω^k是Bernstein基函数,(u,v,w)是P关于T的重心坐标。 B.M.Brown等人对单变量的Bernstein多项式证明了如果f∈Lip_Aλ,0<λ≤1,则对所有的n,都有B^α(f,x)∈Lip_Aλ。本文的目的是对定义在三角域T:{(x,y):x≥0,y≥0,x+y≤1}上的Bernstein多项式证明了类似的结果: 设f(P)∈Lip_Aλ,0<λ≤1,则对所有的n,Bⁿ(f,P)∈Lip_(2^1/2λA)λ,并且,在一定意义上,常数2^1/2λA是最好的。 上述结果对于任意的锐角或直角三角形T,也是成立的。 最后还指出,当T可为钝角三角形时,则不存在同一常数C,使对所有的n和任意三角形T,有Bⁿ(f,P)∈Lip_cλ。     

Durable and refreshable polymeric N‐halamine biocides containing 3‐(4′‐vinylbenzyl)‐5,5‐dimethylhydantoin

A novel vinyl‐hydantoin monomer, 3‐(4′‐vinylbenzyl)‐5,5‐dimethylhydantoin, was synthesized in a good yield and was fully characterized with Fourier transform infrared (FTIR) and ¹H NMR spectra. Its homopolymer and copolymers with several common acrylic and vinyl monomers, such as vinyl acetate, acrylonitrile, and methyl methacrylate, were readily prepared under mild conditions. The polymers were characterized with FTIR and ¹H NMR, and their thermal properties were analyzed with differential scanning calorimetry studies. The halogenated products of the corresponding copolymers exhibited potent antibacterial properties against Escherichia coli, and the antibacterial properties were durable and regenerable. The structure–property relationships of the polymers were further discussed. © 2001 John Wiley & Sons, Inc. J Polym Sci Part A: Polym Chem 39: 3348–3355, 2001     

CUTTING CORNERS PRESERVES LIPSCHITZ CONTINUITY

ＣＵＴＴＩＮＧＣＯＲＮＥＲＳＰＲＥＳＥＲＶＥＳＬＩＰＳＣＨＩＴＺＣＯＮＴＩＮＵＩＴＹ￥ＦＥＮＧＹＵＹＵ（Ｄｅｐｔ．ｏｆＭａｔｈ．ＵＳＴＣ，Ｈｅｆｅｉ，２３００２６，Ｐ．Ｒ．Ｃｈｉｎａ）ＪＥＲＮＥＪＫＯＺＡＫ（Ｄｅｐｔ．ｏｆＭａｔｈ．Ｕｎｉｖｅｒｓｉｔ...