球面上等收敛算子的有界性

设Rⁿ 是n-维欧氏空间n≥3.用Ω_n表示Rⁿ 上的单位球面,对于函数f∈L（Ω_n）,E_N^δ（f）表示其Fourier-Laplace级数的δ阶Cesaro平均所决定的等收敛算子,其中,λ:=（n-2）/2,δ是熟知的临界指标.对于0<δ≤λ,令p₀:=(2λ)/（λ+δ）,本文主要证明了如下结果:     

正反馈选模和调Q技术

把一个由GaAs光电导开关和激光腔中的普克尔盒组成的正反馈回路,用于YAG激光器中,选单纵模和调Q,获得了稳定可靠的单纵模调Q脉冲.     

GS型包合物G2PEDS·MeOH·2(H2O)和G2PEDS·naphthalene的合成与晶体结构

合成了两个由胍盐(G)和4，4’—苯醚二磺酸(PEDS)为主体框架所形成的主— 客体包合物，分别为[(CH6N3)]2[(C12H8O7S2)]·MeOH·2(H20)(1)和[(CH6N3)]2[ (C12H8O7S2)]·(C10H8)(2)．两个化合物都是以P—1空间群结晶，晶胞参数分别为 ：1a＝0．7509(4)nm，b＝1．2113(6)nm，c＝1．5936(8)nm，a＝102．636(10)° ，β＝102．703(11)°,γ＝91．318(10)°；2a＝0．75409(3)nm，b＝1．21584 (5)nm，c＝3．09376(14)nm，a＝81．506(2)°，β＝89．669(2)°，γ＝88． 890(2)°。在这两个晶体结构中，G和PEDS通过氢键形成了双夹层—双柱子的主体 框架，客体分子被包合在平行于a轴方向的晶格空间．这种双夹层—双柱子的主体 框架在由胍盐(G)和有机二磺酸(S)体系所形成的、具有通道结构的主体框架中是较 为少见的．     

Sol–Gel Processed Functional Nanosized TiO2 and SiO2-Based Films for Photocatalysts and Other Applications

Titania and silica-based porous coatings have been produced via sol–gel route in the presence of pore-creating agents PEG and viscous solvent -terpineol, or template agents CTAB, as well as triblock copolimer Pluronic P123. Porous titania films were characterised by HR TEM, UV-Vis, XRD, ellipsometry, ARS methods. The dispersion of the refractive index, the porosity (32–39%) and the thickness of the samples were estimated by integrating sphere transmission and reflection spectra with 3D angular resolved light scattering. The catalytic activity of mesoporous TiO₂ and TiO₂/ZrO₂ as well as SiO₂-benzophenone films in the process of Cr^VI to Cr^III and Ag⁺ to Ag⁰ photoreduction have been studied.     

Parameter Estimation for Observed Diffusions in Manifolds

Following the procedure described by Elworthy (1982) and Ikeda& Watanabe (1981) we construct the solution of stochasticdifferential equations (SDEs) in manifolds. We take such SDEsto describe parametrized completely observed stochastic systemsand manifold-valued state processes. The likelihood functionfor the system parameter is computed by two methods: the firstapplies to the case of parallelizable manifolds; the secondapplies to the general case, here the solution of the systemSDE is constructed in the orthonormal frame bundle of the manifold.Two examples are given.     

Crystal Structure of catena-[（Tetrakis-μ2-acetato-μ2-4,4＇-bipyridine） dicopper（Ⅱ）] Acetonitrile Solvate

1 INTRODUCTION Much attention has been paid to 1D, 2D and 3D coordination polymers because they can meet the need of functional materials with desired structures and properties[1～5]. One strategy in the design and synthesis of coordination architectures is the buil- ding-block approach. Commonly, bi- or multidentate organic ligands containing N[6, 7] or O[8, 9] atoms have ever been used in the construction. In our cur- rent work, we have selected melamine ligand as the main building bl…     

具有中孔结构的SO4^2—／Zr—HMS型固体超强酸的合成和结构表征

用TEOS－Zr-HAD-H2O-Etheanol体系合成了Zr-HAD的中孔分子筛，脱除模板剂后用0．5mol/L硫酸处理和550℃高温焙烧3h，制得一种中孔SO4^2－／Zr-HAD超强酸催化剂，采用XRD对其结构进行表征，用指示剂法，TG和NH3－TPD对其酸性进行了表征。结果表明，经过一系列处理后制得的SO4^2-／Zr-HAD催化剂具备HMS中孔分子筛的结构特征，其酸强度可达H0＝－13．75，在锆及SO4^2-含量远远低于SO4^2-／ZrO2的条件下，SO4^2-／Zr-HAD催化剂对于苯酐和正丁醇酯化反应的活性仍高于SO4^2-／ZrO2催化剂。     

Revisions of P-1 Space Groups to Higher Symmetry Space Groups

The space groups of 244 crystal structures originally reported as P-1 are revised to space groups of higher symmetry. The largest number involves revisions to P2/c and C2/c.     

Space Group of Aquaimidazolemaleatozinc, [(H2O)(C3H4N2)(O2CCH=CHCO2Zn)]n

The space group of [(H2O)(C3H4N2)(O2CCH=CHCO2Zn)]n, which was originally described in the acentric Pc space group (Liu et al., Chin. J. Struct. Chem. 2004, 23, 160～163), is re-described in the centric P21/c space group.The crystal structure of (H2O)(C3H4N2)O2C-CH=CHCO2Zn was refined in the acentric Pc space group on 266 variables to R = 0.037 for the 1926 of the 2067 obeying the I > 2σ criterion[1]. The structure is better described in the centric P21/c space group (Table 1) as the two indepen-dent formula units are related by a center of symmetry. The 21 screw axis is must be pre-sent, as noted from the systematically absent 0k0 (k = 2n + 1) reflections in the 3302 reflections that were simulated[2, 3] from the published cell dimensions and atomic coordinates. Crystallo-graphica[4] estimates the hemisphere of reflections to be 3302, so that only a little more than the minimum monoclinic data must have been collec-ted in the study. A revision from Pc to P21/c is not particularly common[5] as the P21/c space group is uniquely determined from systematic absences. The polymeric chain propagates linearly along the c-axis of the unit cell (Fig. 1).