序压缩映射的不动点定理

本文在序Banach空间中引入了几种按序压缩的压缩型映射,证明了相应的不动点定理.     

芳基汞化合物的性质研究——Ⅶ.邻位取代苯基氯化汞的质子分解反应

本文研究了邻位取代苯基氯化汞o-XC_6H_4HgCl(X=CH_3、H、Cl、Br、COOC_2H_5、NO_2)与HCl(NaI)在85％对氧陆圜水溶液中的质子分解反应,证明反应按S_El历程进行。视取代基不同,反应速度次序如下:CH_3>H>Cl>COOC_2H_5～Br>NO_2。从化学反应与紫外光谱的研究以及理论计算结果表明,p或π电子的邻位取代基对水原子有分子内配位,它对反应速度有重要影响。测定了15种p-、m-、o-取代苯基氯化汞在80％对氧陆圜水溶液中在40.0℃的质子分解反应的速度常数k_1,表明给电性取代基加速反应,吸电性取代基使反应减慢,这可以看作是反应中心在芳环上的芳基汞化合物的S_E1反应所具有的一个特点。     

One Novel Vanadium-Phosphate Cluster [PV_(2.5)O_(8.5)]-3.83{H_2O} with Three-Dimensional Architecture

A novel vanadium-phosphate compound [PV_2.5O_8.5]·3.83{H_2O}(1)was obtained from the hydrothermal reac-tion and structurally characterized by elemental analysis and single-crystal X-ray diffraction,which exhibited thatthe title complex crystallized in cubic space group I-43m with crystal data:a=1.6115(1)nm,V=4.1848(1)nm~3,Z=12,D_c=1.783 g/cm~3,F(000)=2278,R_1=0.0528,and wR_2=0.1329[I>2σ(I)](all data).The basic unit of{PV_2.5O_8.5}symmetrically extended to closed sphere-like structure of{P_4V_(10)O_(34)},which was further linked to in-terleaving three-dimensional network via sharing four phosphate through μ_3-oxygen atoms around the closedsphere-like structures.     

含三螺吡喃单元大环分子的合成和酸致变色效应

合成了含有3个螺吡喃单元的大环分子,采用点击化学方法实现高效的闭环反应,大环分子产率为64％.使用红外、核磁和质谱等方法检测和表征了反应中间产物和目标产物,质谱分析结果证实环化结构.使用紫外-可见光谱仪观察到大环产物和线性螺吡喃前体分子在pH值接近4时的酸致变色效应.与线性螺吡喃前体分子的最大紫外吸收峰位置(476 nm)相比,螺吡喃大环分子在最大紫外吸收峰位置(464 nm)发生蓝移.螺吡喃大环分子比线性前体分子具有更大的摩尔消光系数,其pH响应性能更加优异.     

Topologically Finite Intersection Property and Minimax Theorems

ＴＯＰＯＬＯＧＩＣＡＬＬＹＦＩＮＩＴＥＩＮＴＥＲＳＥＣＴＩＯＮＰＲＯＰＥＲＴＹＡＮＤＭＩＮＩＭＡＸＴＨＥＯＲＥＭＳＺｈａｎｇＳｈｉ－ｓｈｅｎｇ（张石生）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｉｃｈｕａｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈｅｎｇｄ...     

锥Pf的若干性质

利用实赋范线性空间E上非零连续线性泛函f,确定了E上半序关系和锥Pf,证明了锥Pf的几个性质,给出了H ilbert空间中Pf的对偶锥的表现形式及由Pf确定的H ilbert投影距离与T hom pson距离.     

一个一般的拓扑型极大极小定理

本文得出一个一般形式的拓扑型的极大极小定理，它包含的主要结果为特例，而且回答了［３］中提出的一个未解决问题。     

几个拓扑型极大极小定理

我们证明了几个新的拓扑型极大极小定理，我们的结果推广了[5]中的相应结论。     

∫f(x)dx(x∈(a, ∞))收敛与limf(x)=0(x→ ∞)

讨论了当广义积分∫ ∞a f (x) dx收敛时 ,极限 limx→ ∞ f (x) =0的各种条件 .     

Synthesis and Structure of One Novel Polyoxometalate Compound Connected via Cerium(III) Cation with Three-dimensional Framework H_2{[K(H_2O)_2]_2[Ce(H_2O)_5]_2(H_2Mo_(1.16)W_(10.84)O_(42))}·8H_2O

One novel polyoxometalate compound connected via trivalent cerium cation as bridge H2{[K(H2O)2]2[Ce(H2O)5]2(H2Mo1.16W10.84O42)}·8H2O 1 was designed and synthesized in aqueous solution. X-ray diffraction analysis reveals that the structure of 1 is a three-dimensional framework assembled from the arrangement of H2Mo1.16W10.84O42 (named paradodecmetalate-B) and Ce(H2O)53+ containing two planes, which are constructed through the unification of H2Mo1.16W10.84O4210- and Ce(H2O)53+ along the [100] and [001] directions. Crystal data: H96Ce4K4Mo2.32O128W21.68, Mr = 7074.89, monoclinic, P21/n, a = 12.5037(17), b = 17.002(2), c = 12.7473(17) A, β = 105.966(2)°, V = 2605.4(6) 3, Z = 1, Dc = 4.509 g/cm3, F(000) = 3132, μ = 26.098 mm-1, R = 0.0377 and wR = 0.0789 (I > 2σ(I)).