Painlevé analysis and exact solutions of the Korteweg–de Vries equation with a source

We consider the Korteweg–de Vries equation with a source. The source depends on the solution as polynomials with constant coefficients. Using the Painlevé test we show that the generalized Korteweg–de Vries equation is not integrable by the inverse scattering transform. However there are some exact solutions of the generalized Korteweg–de Vries equation for two forms of the source. We present these exact solutions.     

Influence of one CO molecule on structural and electronic properties of monatomic Cu chain

By using first-principles calculations, we have systematically investigated the structural and electronic properties of an infinite linear monatomic Cu chain with an adsorbed CO molecule. We find that the bridge geometry is energeticabsally favored not only when the Cu–Cu bond below the molecule is unstretched, but also for a wide range of d_Cu–Cu up to about 4.20 Å, while the substitutional geometry is favored only in the hyperstretched situation d_Cu–Cu>4.80 Å. Charge density differences point out the electron transfer is from the Cu atoms to the adsorbed CO molecule. The binding mechanism of CO to Cu chain can be described by the Blyholder’s model, in terms of σ-donation of electron density from the nonbonding CO-5σ orbital into empty metal orbitals and π-backdonation from the occupied metal d orbitals to empty CO-2π^⁎ orbital. The donation/backdonation process leads to the formation of bonding/antibonding pairs, 5σ_b/5σ_a and 2π_b^⁎/2π_a^⁎, with the 5σ_a lying above E_f and the 2π_b^⁎ below E_f.     

Electronic structures and magnetic properties in Cu-doped two-dimensional dichalcogenides

We explore the electronic structures and magnetic properties in Cu-doped MX₂ (=MoS₂, MoSe₂, MoTe₂, and WS₂) based on density functional theory. A Cu dopant leads to a net moment of 5.0 or 1.0 μ_B in MX₂, which mainly depend on the size of crystal-field splitting relative to that of the spin splitting. No magnetism is observed in Cu-doped MoTe₂. The local distortion around the Cu atom reduces the total magnetic moment in two-Cu-doped MX₂. The magnetic coupling between the nearest neighboring Cu atoms is ferromagnetic for all the cases, but they demonstrate various magnetic ground states with the increasing distance between Cu atoms: the Cu-doped MoS₂ and WS₂ exhibit anti-ferromagnetic and nonmagnetic ground state, respectively. A long-range ferromagnetic or ferrimagnetic coupling is attributed to double-exchange interaction in Cu-doped MoSe₂. Half-metallic ferromagnetism with Curie temperature above room temperature in Cu-doped MoSe₂ provides a useful guidance to engineer the magnetic properties of MoSe₂ in experiments.     

Prototype electrochromic device and dye sensitized solar cell using spray deposited undoped and ‘Li’ doped V2O5 thin film electrodes

Lithium (Li) (0–5 wt%) doped V₂O₅ thin films were spray deposited at 450 °C onto ITO substrates. Structural analysis using X-ray diffraction and Raman spectroscopy revealed orthorhombic phase of the films. In addition to the V₂O₅ phase, presence of VO₂ peaks due to high deposition temperature is also evident from structural and optical characterization. The non-stoichiometric nature of the films due to loss of the terminal O atom was confirmed from Raman spectroscopy. The direct band gap, indirect bandgap, and phonon energies were also calculated from optical studies. Different charge states of vanadium ions present in the film were identified from X-ray photoelectron spectroscopy study. Results from cyclic voltammetry experiments reflected significant differences between the undoped and Li doped V₂O₅ samples. Transport properties by Hall-effect measured at room temperature indicated significant increase in conductivity, carrier concentration and mobility of V₂O₅ thin films on doping with Li. A Dye Sensitized Solar Cell (DSSC) was fabricated using mobility enhanced 5 wt% Li doped V₂O₅ film as photoanode and its efficiency was found to be 2.7%. A simple electrochromic cell is fabricated using undoped V₂O₅ thin film to demonstrate the colour change.     

Syntheses and flame retarding properties of DOPO polymers,melamine polymers,and DOPO‐melamine copolymers

The 9,10‐dihydro‐9‐oxa‐10‐phosphaphenanthrene‐10‐oxide (DOPO) polymers, melamine polymers, and DOPO‐melamine copolymers have been successfully synthesized, and their flame retarding properties have also been investigated by blending with polypropylene (PP)/styrene‐ethylene‐butylene‐styrene (SEBS) alloys. Experimental results establish that all of them are good polymeric flame retardants. No blooming or color stains occur when they are incorporated into PP/SEBS alloys. Among lab‐made polymeric flame retardants, DOPO‐ melamine copolymers exhibit the best thermal stability and nonflammability. PP/SEBS alloys containing DOPO‐melamine copolymers display comparable thermal resistance and flame retarding behavior (T_d = 290°C; char yield: 15.6%, LOI: 23, and flammability: UL‐94 V0) as the alloys containing common commercial flame retardants (i.e., DOPO, melamine, and ammonium polyphosphate). Copyright © 2013 John Wiley & Sons, Ltd.     

Hydrothermal synthesis and structure characterization of two six-connected metal–organic frameworks based on the mixed ligands

Two metal–organic frameworks, namely, [Ni₂(BIMB)₂(ndd)₂·H₂O]_n (1) and [Zn₃(ndd)_2.5(μ₃-OH)(1,3-dpp)]_n (2) (H₂ndd = 2,2′-(naphthalene-1,5-diylbis(oxy))diacetic acid, BIMB = 1,4-bis[(1H-imidazol-1-ly)methyl]benzene, 1,3-dpp = 1,3-di(pyridin-4-yl)propane) have been synthesized under hydrothermal conditions and characterized by single-crystal X-ray diffraction and thermogravimetric analysis. Compound 1 presents a two-dimensional network with point symbol of (3⁶·4⁶·5³)-hxl topology. Moreover, compound 2 displays a novel 2-fold interpenetrated structure with the point symbol of (4¹²·6³)-pcu topology based on the hexanuclear [Zn₆(CO₂)₁₀(N)₄] unit as a six-connected node. Meanwhile, compound 2 shows good fluorescence property in the solid state at room temperature.     

氨蒸发诱导法制备纳米结构LiNi_(1/3)Co_(1/3)Mn_(1/3)O_2及其作为高功率型锂离子电池正极材料的性能

采用氨蒸发诱导法成功制备出纳米结构LiNi1/3Co1/3Mn1/3O2正极材料,借助X射线衍射(XRD)分析、扫描电镜(SEM)、透射电镜(TEM)、高分辨率透射电镜(HRTEM)、能量分散谱(EDS)和比表面测试等表征手段及恒电流充放电测试研究了其晶体结构、微观形貌和电化学性能.研究表明该方法制备出的材料具有良好的α-NaFeO2层状结构,阳离子混排程度低.纳米片交错堆积而成核桃仁状形貌,片与片之间形成许多纳米孔,而且纳米片的侧面属于{010}活性面,能够提供较多的锂离子的脱嵌通道.在室温下及3.0-4.6 V充放电范围内,该材料在电流密度为0.5C、1C、3C、5C和10C时放电比容量分别为172.90、153.95、147.09、142.16和131.23mAh?g-1.说明其具有优异的电化学性能,非常有潜力用于动力汽车等高功率密度锂离子电池中.     

含混合多齿螯合配体双缺口立方烷型四核Mn配合物的合成、晶体结构与磁性研究

本文报道了一个含混合多齿螯合配体的四核Mn配合物Na2[MnIII2MnII2(pdmH)2(L)2(N3)2]·2CH3OH·2H2O(1·2CH3OH·2H2O,pdmH2为2,6-吡啶二甲醇,H2L为2,6-吡啶二甲醇与2,2-二吡啶酮水合物的脱水物),并对其进行单晶结构分析、红外、元素分析和磁性研究。单晶结构分析表明,该化合物属于三斜晶系P1空间群,分子中2个Mn2+、2个Mn3+及6个来自pdmH-或L2-配体的O原子构成1个双缺口立方烷结构。磁性研究表明Mn2+与Mn3+之间为弱的反铁磁性耦合作用(J1=-0.89 cm-1,J2=-1.13 cm-1),Mn3+离子之间为稍强的铁磁性耦合作用(J3=3.20 cm-1),基态自旋值S=2,交流磁化率研究表明,在所测试条件下,其虚部没有表现出单分子磁体所具有的频率依赖现象。     

2-氨基-4-噻唑乙酸乙酯构筑的两个镉配合物的晶体结构及荧光性质

以2-氨基-4-噻唑乙酸乙酯(EATA)和氯化镉水合物为原料,在无水乙醇和乙醇-水混合物两种溶剂中分别合成了配合物[CdCl2(EATA)]n(1)和[CdCl2(EATA)2](2),并利用X-射线单晶衍射、元素分析、红外光谱和荧光光谱对它们进行了表征。配合物1和2都属于单斜晶系,分别为P21/c和Cc空间群,它们的中心金属离子Cd2+均为扭曲的六配位八面体构型。在配合物1中,相邻的2个八面体单元通过2个μ2-Cl-阴离子双桥连形成一维链结构,该一维链进一步通过N-H…Cl分子间氢键形成了三维网络结构,而配合物2则通过大量的N-H…Cl和C-H…Cl分子间氢键等弱作用组装成二维超分子结构。固态荧光光谱分析表明,配合物1和2荧光性质相似,均可归属于由配体到金属间的电荷转移(LMCT)。