The 4-canonical Maps of 3-folds of General Type

The aim of this paper is to show that the 4-canonical maps of 3-folds of general type is birational when pg≥7 under some given conditions.

3-fold Morse序列的因子复杂度以及与其相似的一个排列（英文）

我们证明3-fold Morse序列的一些性质,并且给出它的子词复杂度公式.此外,通过迭代一个映射产生一个实数序列,我们研究它的一些性质.最终证明这个实数序列与3-fold Morse产生相同的无穷排列.

Helical Coordination Polymer with a 3-Fold Interpenetration Structure Based on 5-(Hydroxymethyl)isophthalic Acid

5-（Hydroxymethyl） isophthalic acid （H2HIA） as a novel organic ligand was prepared from 3,5-bis（methoxycarbonyl）benzoic acid by a two-step method. And then, a 3D helical coor- dination polymer with a 3-fold interpenetration structure, namely [Zn1/2（HIA）1/2（DPEE）1/2]n （1）, was hydrothermally synthesized at 160 ℃, using H2HIA ligands to assemble with DPEE ligands and Zn2＋ ions. Complex 1 crystalizes in orthorhombic system, space group Pnna, with a = 8.2118（5）, b = 17.1698（7）, c =14.9922（7） ？, V = 2113.82（18） ？3, μ = 1.194 mm-1, Z = 4 and S = 0.967. Moreover, some physical characteristics of complex 1, such as powder X-ray diffraction （PXRD）, thermogravimetry analyses （TGA） and photoluminescent properties, were also investigated.

A 3-fold Interpenetrated lvt Cd(Ⅱ) Network Constructed from 4-[(3-pyridyl)methylamino]benzoate Acid

A new three-dimensional（3D） coordination polymer, [Cd（L）2H2O]n·5nH2O 1 with 4-[（3-pyridyl）methylamino]benzoate acid（HL）, has been synthesized by slow evaporation solvent at room temperature, and structurally characterized by elemental analysis, IR spectrum, thermal analysis, fluorescence spectrum and single-crystal X-ray diffraction. Compound 1 crystallizes in the tetragonal system, space group I-4, with a = 20.7937（16）, c = 13.515（2）, V = 5843.5（11） 3, C26H34CdN4O10, Mr = 674.97, Dc = 1.534 g/cm3, μ（MoKα） = 0.808 mm-1, F（000） = 2768, Z = 8, the final R = 0.0276 and wR = 0.0691 for 5323 observed reflections（I 〉 2σ（I））. The result of thermal analysis shows that 1 is stable under 290 ℃. Moreover, it exhibits blue photoluminescence at room temperature.

Two 3D Metal-organic Frameworks with 4-Fold [2＋2]-type Interpenetrated hms Nets Based on a Flexible Tricarboxylic Acid

Two 3D 4-fold interpenetrated metal-organic frameworks, [Mn（L）（bpy）]n （1） and [Cu（HL）（bpy）]n （2）（H3L = 4,4＇,4＇＇-（benzene-1,3,5-triyl-tri（methyleneoxy）） tribenzoic acid, bpy = 4,4′-bipyridine）, were synthesized under hydrothermal conditions, and characterized by element analyses, IR spectra, thermogravimetric analyses, X-ray powder diffraction and magnetic property studies. The single-crystal X-ray analyses revealed that 1 and 2 are homogeneous. 1 crystallizes in monoclinic, space group Cc with a = 26.794（2）, b = 11.6346（10）, c = 21.4614（18） ？, β = 91.570（2）°, V = 6687.9（10） A^3, Z = 8, Mr = 736.59, D = 1.463 g·cm^（-3）, μ = 0.458 mm^-1c, R（int） = 0.0524, F（000） = 3040, the final R = 0.0844 and wR = 0.2266 for 8092 observed reflections（I 〉 2σ（I））. 2 crystallizes in monoclinic, space group Cc with a = 27.609（12）, b = 11.126（10）, c = 21.490（9） ？, β = 92.131（2）°, V = 6597（5） A^3, Z = 8, Mr = 746.21, Dc = 1503 g·cm^（-3）, μ = 0.726 mm^-1, R（int） = 0.0542, F（000） = 3080, the final R =0.0681 and wR = 0.1831 for 6777 observed reflections（I 〉 2σ（I））. Two compounds are 3D [2＋2]-type 4-fold interpenetrated frameworks with（6^3）（6^9.8） hms topology. The magnetic study of compound 2 shows the presence of weak antiferromagnetic interaction between the Cu^Ⅱ ions in 2.

The Production of CNT Flower-Like Structures with 3-Fold and 4-Fold Symmetries on a Pt/Si Substrate

Carbon nanotubes flower (CNTs-F) films were prepared by catalytic chemical vapor deposition (CVD) on a platinum (Pt) thin layer, supported on a silicon wafer. The products were synthesized from an aerosol composed of ferrocene and toluene, as catalyst and carbon precursor respectively, at 820. The high synthesis temperature induces a modification of a Pt thin layer to a nano-structured island giving rise to the formation of CNTs-F during the following films growth step by CVD process. The suggested mechanism involves the selective diffusion of the catalyst and carbon atoms through the Pt grain boundaries. This results in the appearance of flower-like structures with 3-and 4-fold symmetries.

Two Interpenetrated and Polycatenated Zn(Ⅱ)Coordination Polymers:Syntheses,Structures and Luminescent Properties

Two fascinating Zn（II）entangled coordination polymers,[Zn（eoba）(bbi)];·nH;O（1）and[Zn（boba）(bbi);];（2）,(bbi=1,1?-（1,4-butanediyl）-bis（imidazole）,H;eoba=4,4?-（ethane-1,2-diyldioxy）-dibenzoic acid,H;boba=4,4?-（butane-1,4-diyldioxy）-dibenzoic acid),were obtained by hydrothermal technology and characterized by elemental analysis,infrared spectrum,thermogravimetric analysis and single-crystal X-ray diffraction.1 is a rare 2D→3D example with a 3-fold parallel interpenetration and polycatenaned architecture.2 features a scarce2D→2D example with a 3-fold parallel interpenetrating network which possesses polyrotaxane and polycatenane characters.Moreover,the luminescent properties of 1 and 2 have been discussed.

Compact Solvmanifolds with a Closed G₂-Structure

We consider a parametrized family of compact G2-calibrated solvmanifolds, and construct associative (so volume-minimizing submanifolds) 3-tori with respect to the closed G2-structure. We also study the Laplacian flow of this closed G2 form on the solvable Lie group underlying to each of these solvmanifolds, and show long time existence of the solution.

Syntheses, Crystal Structures, and Fluorescence Properties of Two 2D→2D Coordination Polymers Based on the Flexible 4-Substituted Bis(1,2,4-triazole) Ligand

Two new 2 D → 2 D zinc(II) coordination polymers, [Zn(btre)0.5(nbdc)(H2 O)]n(1) and {[Zn(btre)0.5(Me Oip)(H2 O)2]·H2 O}n(2)(btre = 1,2-bis(1,2,4-triazol-4-yl)ethane, nbdc=3-nitro-1, 2-benzenedicarboxylate, Me Oip=4-methoxybenzene-1, 3-dicarboxylate) were synthesized at room temperature condition and characterized by IR spectra, elemental analyses, single-crystal and powder X-ray diffractions. Three sets of equivalent 2 D(6, 3) networks parallel polycatenated with each other to give a 2 D → 2 D network in 1 and 2. There are strong π-π interactions and hydrogen bonding interactions between adjacent parallel polycatenated 2 D(6, 3) network in 1. Only hydrogen bonding interactions exist in 2. Thermal stabilities and luminescence of 1 and 2 were investigated.