双能带三维光子晶体中二能级原子的自发辐射

研究了双能带三维光子晶体中二能级原子自发辐射的性质.由于双能带各向异性色散关系的影响，辐射场中的局域场和传输场不能共存，导致原子上能级占据数不再具有准周期性振荡的性质，而是随时间趋于常数，或者随时间按幂函数形式衰减，或者随时间按指数形式衰减.这些性质不仅与原子上能级和能带带边的相对位置有关，而且与光子晶体上、下能带之间的能隙宽度有关.这些性质也有别于单能带各向同性光子晶体中二能级原子自发辐射的性质. 关键词： 光子晶体 二能级原子 自发辐射     

磁性壳聚糖复合微球的制备及其Cu~(2+)吸附性能

以球磨后的粉煤灰磁珠(MS)颗粒为磁核,通过溶胶凝胶法和反相微乳液法依次包覆SiO_2和壳聚糖(CS),制备了MS@SiO_2@CS磁性微球。利用扫描电镜及能量色散谱仪、热重分析仪、红外光谱仪、X射线衍射仪、振动样品磁强计对所得样品的结构和磁性进行了系统表征。结果表明,磁珠颗粒表面实现了逐层包覆,较均匀的分散于壳聚糖基体中,MS@SiO_2@CS微球的比饱和磁化强度可达7.04 emu·g~(-1)。Cu~(2+)离子吸附实验表明,所得磁性壳聚糖微球对Cu~(2+)具有良好的吸附能力,最大吸附量可达11.08 mg·g~(-1);而且可通过磁选法高效固液分离。吸附动力学研究表明,MS@SiO_2@CS微球对Cu~(2+)离子的吸附符合准二级动力学模型,以化学吸附为主。     

Synthesis and Crystal Structure of 3,3'-Bis(5-(N-(4-hydroxylphenyl)imidomethyl)- pyrrol-2-yl)pentane·2CH_3OH

3,3'-Bis(5-(N-(4-hydroxylphenyl)imidomethyl)pyrrol-2-yl)pentane 1 has been synthesized and characterized. The crystal of its methanol complex, 1·(CH3OH)2, belongs to the orthorhombic system, space group Pccn with a = 18.094(2), b = 11.6890(16), c = 13.3629(19) , V = 2826.3(7) 3, Z = 8, C14.5H18N2O2, Mr = 252.31, Dc = 1.186 g/cm3, F(000) = 1080 and μ(MoKα) = 0.080 mm-1. The final R = 0.0662 and wR = 0.1801 for 1908 observed reflections with I 2σ(I), and R = 0.0800 and wR = 0.1948 for all reflections. In the solid state, bridged by included methanol molecules, the molecules of compound 1 form interpenetrated grid structure through N–H···O and O–H···O hydrogen bonds.     

氨基化修饰介孔Fe3O4@SiO2@mSiO2磁性核壳复合微球的可控制备及吸附性能

以水热法制备的高磁饱和强度Fe_3O_4纳米颗粒为核,正硅酸乙酯(TEOS)为前驱体,采用改进的St觟ber法,制备介孔SiO_2包覆Fe_3O_4磁性核壳复合微球。利用XRD、SEM、TEM、N2吸附-脱附、FTIR和VSM对制备样品的物相结构、形貌和磁性能进行了测试表征。研究结果表明,制备的复合材料呈球形,粒径分布均一,材料的比表面积和磁饱和强度分别为413 m2·g-1和68.93emu·g-1。研究了TEOS的添加量对复合微球形貌的影响,随着TEOS添加量的增加,SiO_2壳层增厚,复合粒子形貌均匀,饱和磁化强度有所下降,仍具有良好的超顺磁性。在此基础上,通过接枝法在复合微球的表面接枝-NH2,制备了一种新型磁性纳米吸附剂(Fe_3O_4@SiO_2@m SiO_2-NH2),进而研究了其对水中重金属离子Cr(Ⅵ)的吸附性能。通过动力学拟合,Fe_3O_4@SiO_2@m SiO_2-NH2对Cr(Ⅵ)的吸附过程是准二级动力学模型占主导地位,探究了该材料对Cr(Ⅵ)的吸附过程和吸附机理。结果表明,其吸附机理及吸附容量与Cr(Ⅵ)的离子形态及-NH2有关,并通过吸附剂与吸附质之间的电子共用或静电吸附实现。     

Covering a Connected Curve on the Torus with Squares

We throw i.i.d. random squares S ₁,S ₂,… with respective side lengths l ₁,l ₂,… uniformly on the two-dimensional torus ?/?×?/?, where $\{l_{n}\}_{n=1}^{\infty}$ is a nonincreasing sequence with 0<l _n <1 and lim _n→∞ l _n =0. A necessary and sufficient condition for covering the connected curve {0}×?/? is $$\sum_{n=1}^{\infty}\frac{l_n}{(\sum_{i=1}^{n}l_i)^2}\exp{\Biggl(\sum _{i=1}^{n}l_i^2\Biggr)}=\infty.$$      

A Novel Binuclear Cu（Ⅱ） Complex with Nitroxide Radicals Exhibiting Ferromagnetic Interactions

A new binuclear Cu(Ⅱ) complex with nitronyl nitroxide radicals [Cu(NIT3Py)2Cl2]2(NIT3Py = 2-(3'-pyridinyl)-4,4,5,5-tetramethylimidazoline-1-oxyl-3-oxide) has been synthesized and structurally characterized by X-ray diffraction analysis.It crystallizes in monoclinic,space group C2/c with a = 38.483(4),b = 7.2450(8),c = 27.559(3) ,β = 134.0180(10)°,V = 5525.6(10) 3,C48H64Cl4Cu2N12O8,Mr = 1206.00,Z = 4,Dc = 1.450 g/cm3,μ(MoKα) = 1.025 mm-1,F(000) = 2504,S = 1.066,the final R = 0.0471 and wR = 0.1121 for 3286 observed reflections(I > 2σ(I)).The title complex consists of centrosymmetric dinuclear units [Cu(NIT3Py)2Cl2]2,in which the copper ions are square-pyramidally coordinated by two pyridyl nitrogen atoms of two radical ligands and three chlorine anions,two of which bridge the copper ions.The magnetic measurements show ferromagnetic interactions between the copper ions and the radical ligands.     

Heterometallic Trinuclear Ni2Zn and Ni2Mn Complexes of Macrocyclic Oxamide: Synthesis and Crystal Structures

Two novel heterometallic trinuclear complexes of macrocyclic oxamide [Mn(NiL)2(HBTC)H2O] (1) and [Zn(NiL)2(HBTC)H2O] (2) (NiL, H2L = 2,3-dioxo-5,6,14,15-dibenzo-1,4,8,12-tetraazacyclo-pentadeca-7,13-dien, H3BTC = 1,3,5-benzenetricarboxylic acid) have been solvothermally synthesized and structurally characterized by elemental analysis, IR spectroscopy and single-crystal X-ray diffraction. For 1, the crystals crystallize in the monoclinic system, space group P21/c with a = 11.3595(5), b = 23.1498(11), c = 17.2558(8) and =101.2530(10)°. For 2, the crystals crystallize in the monoclinic system, space group P21/c with a = 11.5214(8), b = 20.6566(14), c = 18.4126(13)  and = 92.6770(10)°. The structures of 1 and 2 have oxamido-bridged trinuclear [NiⅡ2MⅡ] units and consist of two-dimensional supramolecular architectures formed by strong O-H…O intermolecular hydrogen bonds.     

磁性壳聚糖复合微球的制备及其Cu2+吸附性能

以球磨后的粉煤灰磁珠（MS）颗粒为磁核,通过溶胶凝胶法和反相微乳液法依次包覆SiO₂和壳聚糖（CS）,制备了MS@SiO₂@CS磁性微球。利用扫描电镜及能量色散谱仪、热重分析仪、红外光谱仪、X射线衍射仪、振动样品磁强计对所得样品的结构和磁性进行了系统表征。结果表明,磁珠颗粒表面实现了逐层包覆,较均匀的分散于壳聚糖基体中,MS@SiO₂@CS微球的比饱和磁化强度可达7.04 emu·g^-1。Cu²⁺离子吸附实验表明,所得磁性壳聚糖微球对Cu²⁺具有良好的吸附能力,最大吸附量可达11.08 mg·g^-1;而且可通过磁选法高效固液分离。吸附动力学研究表明,MS@SiO₂@CS微球对Cu²⁺离子的吸附符合准二级动力学模型,以化学吸附为主。     

Crystal Structures of Fluoride and Chloride Complexes of Tris[（2-benzimidazolyl）methyl]amine

The crystal structures of fluoride and chloride complexes of tris[（2-benzimidazolyl）methyl]amine 1 were characterized by X-ray crystallography. 1 adopts （73 symmetrical geometry and cone-like conformation so as to allow its three NHs to associate with the anions through hydrogen bonds. Despite the different sizes of the anions, the two crystals are unexpectedly isostructural. The binding ability of the anions of 1 in solution was also studied by using of UV-vis spectroscopy.     

Dissipation in Parabolic SPDEs

Journal of Statistical Physics - The study of intermittency for the parabolic Anderson problem usually focuses on the moments of the solution which can describe the high peaks in the probability...