A copper(I) isonitrile complex as a heterogeneous catalyst for azide-alkyne cycloaddition in water

A structurally well-defined copper(I) isonitrile complex is shown to be an efficient, heterogeneous catalyst for the Huisgen azide-alkyne 1,3-dipolar cycloaddition under mild conditions in water. Notably, this catalyst can also be utilized in a three-component reaction of halides, sodium azide and alkynes to form 1,4-disubstituted 1,2,3-triazoles in high yields. Furthermore, it can be readily recovered by precipitation and filtration and recycled for at least five runs without significant loss of activity.     

Salt effects on the aggregation behavior of tripolar zwitterionic surfactants with different inter-charge spacers in aqueous solution

Salt effects on the aggregation behavior of tripolar zwitterionic surfactants in aqueous solutions have been investigated using surface tension, dynamic light scattering (DLS), freeze-fracture transmission electron microscopy (FF-TEM), and ¹H NMR. The tripolar zwitterionic surfactants with different inter-charge spacers are [C₁₄H₂₉(CH₃)₂N⁺C_sN⁺(CH₃)₂CH₂CH₂CH₂SO₃ ^?]Br^? (C₁₄C_sTri, C_s?=?–(CH₂)₂–, –(CH₂)₆–, –(CH₂)₁₀–, and p-xylyl). It is found that the critical micelle concentration (CMC) values of the corresponding traditional zwitterionic surfactant C₁₄H₂₉(CH₃)₂N⁺CH₂CH₂CH₂SO₃ ^? (TPS) are almost constant with the increase of the NaBr concentration. However, the CMC values of C₁₄C_sTri decrease sharply at a lower NaBr concentration and then level off at a higher NaBr concentration. Moreover, the decreasing extents of the CMC values for C₁₄C₂Tri, C₁₄C₆Tri, and C₁₄C_pxTri are very close, but more significant than that for C₁₄C₁₀Tri, suggesting that the self-assembly ability of the tripolar zwitterionic surfactants with a longer inter-charge spacer is less sensitive to NaBr. The DLS and FF-TEM results reveal that C₁₄C₂Tri, C₁₄C₆Tri, and C₁₄C_pxTri form micelles without NaBr and that the size slightly increases with the increase of NaBr concentration, whereas micelles and vesicles coexist for C₁₄C₁₀Tri and TPS without NaBr and then transfer to micelles upon the addition of NaBr. The salt-induced morphological transition for C₁₄C₁₀Tri is further studied using ¹H NMR. The addition of NaBr reduces both the electrostatic repulsion between the same charged ammoniums and the electrostatic attraction between the oppositely charged ammonium and sulfonate. Thus, the longer inter-charge spacer of C₁₄C₁₀Tri tends to be more bended and the sulfonate group becomes available to contact the ammonium, which promotes micellization.     

ZrO2添加对BaO-La2O3-TiO2介质陶瓷介电性能的影响

BaO-La2O3-TiO2(BLT)是典型的高介电常数微波介质陶瓷,其作为微波谐振器与滤波器的关键材料,在微波通讯技术上有着重要的应用. 选用ZrO2对BLT进行改性研究,当ZrO2的加入量z＜0.5mol时,烧结体的主晶相为Ba6-3xLa8 2x(Ti1-zZrz)18O54(x=1/2)钨青铜结构(TB)固溶体,随ZrO2加入量的增多,烧结体中产生第二相,当z＝1.0mol时,烧结体的主晶相为La2Zr2O7和BaZrO3,这与结构许容因子的变化密切相关,获得较优介电性能如下εr=103.71,Q·f=4862.53 GHz,τf=168.97×10-6/℃,优于不添加ZrO2时烧结体介电性能(εr=139.73,Q·f=1238.96 GHz,τf=179.97×10-6/℃) ,说明少量ZrO2的加入可以改善BLT陶瓷的品质因数和频率温度系数,略降低介电常数. SEM分析表明,少量ZrO2的加入没有改变烧结体的微观形貌,改性前后烧结体内部均为典型的柱状TB固溶体形貌.     

Quasi-periodic Solutions for the Derivative Nonlinear SchrÖdinger Equation with Finitely Differentiable Nonlinearities

The authors are concerned with a class of derivative nonlinear Schr¨odinger equation iu_t + u_(xx) + i?f(u, ū, ωt)u_x=0,(t, x) ∈ R × [0, π],subject to Dirichlet boundary condition, where the nonlinearity f(z1, z2, ?) is merely finitely differentiable with respect to all variables rather than analytic and quasi-periodically forced in time. By developing a smoothing and approximation theory, the existence of many quasi-periodic solutions of the above equation is proved.     

Synthesis and characterization of a novel three-dimensional open-framework: Metal diphosphonate,Zn[HO3PCH2(C6H4)CH2PO3H]

A novel zinc diphosphonate, Zn[HO₃PCH₂(C₆H₄)CH₂PO₃H] (1) was synthesized from tetraethyl para-xylylenediphosphonate, Et₂O₃PCH₂C₆H₄CH₂PO₃Et₂, and Zn (AcO)₂·2H₂O under solvothermal conditions. The structure of compound 1 was determined by single-crystal X-ray diffraction, which reveals that the structure crystallizes in the monoclinic space group C2/c (No. 15), with a = 22.4844(19) Å, b = 6.4361(5) Å, c = 8.1194(7) Å, β = 102.595(2)°, V = 1146.70(16) Å³, T = 298(2) K, Z = 8. The novel three-dimensional (3D) construction is simply built up from linear inorganic chains of corner-sharing four-rings of tetrahedral [ZnO₄] and [PO₃C] which connected adjacent chains by the organophosphorus ligand para-xylylenediphosphonate. The framework has 10 Å × 4 Å (containing the van der Waals radii of atoms) channels running along the b-axis.     

Interactions of delta shock waves for the transport equations with split delta functions

This paper is concerned with the interactions of δ-shock waves and the vacuum states between the two contact discontinuities for the transport equations. The solutions are obtained constructively when the initial data are three piecewise constant states. The global structure and large time-asymptotic behaviors of the solutions are analyzed case by case. Moreover, it can be found that the Riemann solutions are stable for such small perturbations with initial data by studying the limits of the solutions when the perturbed parameter ε tends to zero.