一锅法可控合成金属有机框架材料Mn-荧光素用于核磁共振/荧光成像

通过一锅法,首次将核磁共振成像试剂Mn²⁺和荧光成像试剂荧光素（FSD）自组装于一个简单的金属有机框架材料（Mn-FSD）上。实验结果表明,Mn-FSD的粒径可被控制在微纳米水平内并进行生物成像。体外和体内实验结果证实,Mn-FSD可在细胞和裸鼠中显示强绿色荧光。同时,Mn-FSD表现出较高的弛豫值（r₁=4.95 L·mmol^-1·s^-1）。     

Thermal behaviors and kinetic analysis of two natural kaolinite samples selected from Qingshuihe region in Inner Mongolia in China

Journal of Thermal Analysis and Calorimetry - The thermal characteristic behaviors of two kaolinite samples selected from Qingshuihe region in Inner Mongolia in China were studied through...     

两个dpa类配体的铜(Ⅱ)配合物的合成、结构、核酸酶活性及细胞毒性

以dpa衍生配体4-methyl-N,N-bis（pyridin-2-ylmethyl）aniline（L）合成2个单核铜配合物[CuL（NO₃）₂]（1）和[CuL（OAc）（H₂O）]ClO₄（2）,并对其进行了表征。单晶结构显示,配合物1中的Cu中心可以描述为畸变的五角双锥构型,而2的Cu中心为畸变的八面体构型。运用电子吸收和发射光谱法研究了配合物与CT-DNA的键合作用,结果表明2个配合物与DNA的相互作用均为部分插入模式。通过改变浓度、时间进一步检测配合物切割DNA的能力,以及验证其切割机理,结果表明在外界诱导剂存在下,2个配合物均表现出强的切割DNA的能力,其作用机理为氧化切割机理,其中活性氧可能为·OH和¹O₂。利用MTT法测定了配合物对体外HeLa、HepG-2和SGC-7901肿瘤细胞增殖的抑制能力。     

SrMoO_4∶Sm~(3+),Na~+红色荧光粉的形貌调控和发光性能

以Sm~(3+)为激活剂,Na~+为电荷补偿剂,柠檬酸为配位剂,乙二醇作为辅助配位剂,采用溶胶-凝胶法合成前驱体,然后在800℃下焙烧,成功制备了一系列SrMoO_4∶Sm~(3+),Na~+红色荧光粉。用X射线衍射仪、扫描电镜、荧光光谱和傅里叶变换红外光谱等手段对样品的物相、形貌、组成、发光性能和量子效率等进行测试和表征。分析结果表明:制备的SrMoO_4∶Sm~(3+),Na~+荧光粉均为四方晶系结构,掺杂离子的加入对基质晶体结构影响不大。在403 nm近紫外光激发下,产物有4个发射峰,分别位于563、600、647和707 nm处,归属于~5G_(5/2)→~6HJ(J=5/2,7/2,9/2,11/2)的电子跃迁,其中位于647 nm处的主发射峰的相对发光强度最大。当Sm~(3+)的掺杂物质的量分数为1%~3%时,发光强度最好,当浓度超过1%~3%时,会发生荧光猝灭。对实验数据进行分析,确定荧光猝灭机理是由于钐离子间交换作用引起的,并计算了能量传递的临界距离为1.77~2.56 nm。此外,还详细研究了乙二醇对SrMoO_4∶Sm~(3+),Na~+荧光粉形貌的影响,研究结果表明:乙二醇加入量为5 m L时,产物形貌均匀,呈球形或椭球形;且分散性较好;荧光强度最大。     

带有Sobolev-Hardy临界指标项的非齐次椭圆方程的解

考虑带有Hardy和Sobolev-Hardy临界指标项的非齐次椭圆方程{-Δu-u(u/(|x|~2))=λu+(((|u|~(2~*(s)-2))/(|x|~s))u+f,在Ω中,u=0,在Ω上,这里2~*(s)=(2(N-s))/(N-2)是临界Sobolev-Hardy指标,N≥3,0≤s2,0≤μ=((N-2)~2)/4,ΩR~N是一个开区域.假设0≤λ≤λ_1时,λ_1是正算子-△-μ/(|x|~2)的第一特征值.f∈H~1_0(Ω)~*,f(x)≠0.当f满足适当的条件时,此方程在H~1_0(Ω)中至少具有两个解u_0和u_1.而且,当f≥0时,有u_0≥0和u_1≥0.     

Some inequalities for the Bell numbers

In this paper, we present derivatives of the generating functions for the Bell numbers by induction and by the Faà di Bruno formula, recover an explicit formula in terms of the Stirling numbers of the second kind, find the (logarithmically) absolute and complete monotonicity of the generating functions, and construct some inequalities for the Bell numbers. From these inequalities, we derive the logarithmic convexity of the sequence of the Bell numbers.     

完整Coriolis力作用下带有外源强迫的非线性KdV方程

利用摄动方法,从描写既有Coriolis力垂直分量又含有水平分量的位涡方程出发,给出了近赤道非线性Rossby波所满足的具有外源强迫的非线性KdV方程,并利用Jacobi椭圆函数展开法,求解了改进后的非线性KdV方程的行波解及孤立波解.通过分析KdV方程的行波解,指出Coriolis力的水平分量和外源对Rossby波动的影响.     

具任意次非线性项的Camassa-Holm方程的双孤子新解

给出辅助方程、函数变换与变量分离解相结合的方法,构造了具任意次非线性项的Camassa-Holm方程的双孤子和双周期新解.首先,通过两个辅助方程、函数变换与变量分离解,将具任意次非线性项的Camassa-Holm方程的求解问题转化为非线性代数方程的求解问题.然后,借助符号计算系统Mathematica求出该方程组的解,并用辅助方程的相关结论,构造了双周期解和双孤子新解.     

Metal sulfide: An efficient promoter for the synthesis of 2-mercaptobenzothiazoles from 2-haloanilines and carbon disulfide

A convenient method has been developed for the preparation of a variety of 2-mercaptobenzothiazoles from 2-haloanilines and CS₂ mediated by metal sulfide. In this reaction, 2-haloanilines reacted with CS₂ in the presence of Na₂S?·?9H₂O to form 2-mercaptobenzothiazoles. Na₂S?·?9H₂O functioned both as an activator of CS₂ and as a base. Furthermore, NMR analysis was used to identify the different reaction mechanisms of 2-haloanilines and CS₂ mediated by Na₂S or 1,8-diazabicyclo[5.4.0]undec-7-ene (DBU), which demonstrated that Na₂S interacted only with CS₂, while DBU reacted with both 2-iodoaniline and CS₂.     

Edge agreement of second-order multi-agent system with dynamic quantization via the directed edge Laplacian

This work explores the edge agreement problem of second-order multi-agent systems with dynamic quantization under directed communication. To begin with, by virtue of the directed edge Laplacian, we propose a model reduction representation of the closed-loop multi-agent system depending on the spanning tree subgraph. Considering the limitations of the finite bandwidth channels, the quantization effects of second-order multi-agent systems under directed graph are considered. The static quantizers generally contain a fixed quantization interval and infinite quantization level, which are, to some extent, inefficient and impractical. To further reduce the bit depth (number of bits available) and to obtain better precision, the dynamic quantized communication strategy referring to zooming in-zooming out scheme is required. Based on the reduced model associated with the essential edge Laplacian, the asymptotic stability of second-order multi-agent systems under dynamic quantized effects with only finite quantization level can be guaranteed. Finally, the simulation of altitude alignment of micro air vehicles is provided to verify the theoretical results.