PCM study of the solvent and substituent effects on bond dissociation energies of the O?NO Bond—A DFT study

A PCM continuum model, at the B3LYP, B3P86, and B3PW91 three‐parameter hybrid DFT methods with 6‐311G** basis set, is used to study the bond dissociation energies (BDEs) of benzyl nitrites. Compared the computed results with the experimental values, it is noted that B3PW91 functional is the best method to compute the BDEs of benzyl nitrites. The solvent and substituent effects on the BDEs of the O? NO bond are analyzed, and it is shown that the BDE of the O? NO bond decreases with the increment of the Hammett constants of substituent groups on benzene for benzyl nitrites except C₆H₅CH₂O? NO. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012     

2-(1H-1,2,4-三唑-3-基)吡啶MnⅡ配合物的合成、结构及荧光性质

采用水热合成法,通过配体[2-(1H-1,2,4-三唑-3-基)吡啶](2-HTP)与MnSO₄·H₂O中的Mn²⁺离子组装配位,得到一个结构新颖的配合物[Mn(C₇H₅N₄)·(SO₄)·2H₂O](1),对其进行元素分析、红外光谱、X射线单晶衍射、固体荧光以及热重分析等测试。 结构分析表明,配合物1属于单斜晶系P2₁/n空间群,部分晶胞参数:a=1.16373(12) nm,b=0.79324(9) nm,c=1.40241(15) nm,V=1.1996(2) nm³,Z=4。 在配合物1中,配体2-HTP与Mn²⁺离子以双齿的方式配位,Mn²⁺离子还与两个结晶水分子相连并与SO42-中O原子的桥联作用连接成为一维的链状结构。 此外,配体的芳香环之间还存在弱的π-π空间堆积效应,通过对配合物进行固体荧光测试表明其具有良好的蓝光性质,在477 nm处存在较强的荧光发射峰。     

Determination of selected trace elements in marine biota samples with the application of fast temperature programs and solid sampling continuous source high resolution atomic absorption spectroscopy: method validation

Analytical procedure for the determination of As, Cd, Cu, Ni, Co and Cr in marine biota samples using solid sampling high-resolution continuum source atomic absorption spectrometry (HR CS AAS) and accelerated fast temperature programmes has been developed. Calibration technique based on the use of solid certified reference materials similar to the nature of the analysed sample and statistics of regression analysis were applied. A validation approach in line with the requirements of ISO 17025 standard and Eurachem guidelines was followed. Accordingly, blanks, selectivity, calibration, linearity, working range, trueness, repeatability and reproducibility, limits of detection and quantification and expanded uncertainty for all investigated elements were assessed. The major contributors to the combined uncertainty of the analyte mass fractions were found to be the homogeneity of the samples and the microbalance precision. Traceability to the SI system of units of the obtained with the proposed analytical procedure results was also demonstrated. The potential of the proposed analytical procedure based on solid sampling HR CS AAS technique was demonstrated by direct analysis of marine reference biota samples. Overall, the use of solid sampling HR CS AAS permits obtaining significant advantages for the determination of selected trace elements in marine biota samples, such as straightforward calibration, a high sample throughput, sufficient precision, a suitable limit of detection and reduced risk of analyte loss and contamination.     

Synthesis and properties of one-dimensional Ni(Ⅱ) and Ni(Ⅱ)Cu(Ⅱ) complexes linked by hydrogen bond

Four dithiooxalato (Dto) bridged one-dimensional Ni(ll) and Ni(ll)Cu(ll) complexes (Me6[14]dieneN4)Ni2(Dto)2) (1), (Me6[14]dieneN4)CuNi(Dto)2 (2), (Me6[14]aneN4)Ni2(Dto)2 (3), and (Me6[14]aneN4)CuNi(Dto)2(4), were synthesized. These complexes have been characterized by elemental analysis, IR, UV and ESR spectra. The crystal structure of complex 3 was determined. It crystallizes in the monoclinic system, space group C2/c with a = 2.2425(4) nm, b = 1.0088(2) nm, c=1.4665(3) nm, β= 125.32(3)° ;Z=4; R = 0.076, Rw = 0.079. In the complex, Ni(1) coordinates four sulphur atoms of two Dto ligands in plane square environment. Ni(2) lies in the center of mac-rocyclic ligand. For Dto ligand, two sulphur atoms coordinate Ni(1), and O(1) coordinates Ni(2) and forms weak coordination bond. O(2) is linked to N(2) of macrocyclic ligand through hydrogen bond.     

一维链状冠醚配合物:[{Na(18-C-6)}2(H2O)]n[M(SCN)4]n(M=Pd、Pt)的合成与结构

The reactions of 18-crown-6 with Na₂[M(SCN)₄] (M= Pd,Pt) were studied and the complex 1 [{Na(18-C-6)}₂(H₂O)]_n[Pd(SCN)₄]_n and complex 2 [{Na(18-C-6)}₂(H₂O)]_n[Pt(SCN)₄]_n were characterized by ele-mental analysis, IR and X-ray diffraction analysis. The complexes belong to monoclinic, space group P2₁/n with cell dimensions, 1:a=1.05734(7),b=1.42250(10),c=1.47762(10) nm,β=107.5330(10)°,V=2.1192(2)nm³,Z=2,D_calcd=1.460g·cm^-3,F(000)=964,R₁=0.0406,wR₂=0.1264 and 2:a=1.05985(19),b=1.4237(3),c=1.4744(3) nm,β=107. 096(3)°, V=2.1264(7)nm³,Z=2,D_calcd=1.690g·cm^-3,F(000)=1028,R₁=0.0292,wR₂=0.0859. In the solid state, the complexes 1 and 2 show an one-dimensional chain of [{Na(18-C-6)}₂(H₂O)]²⁺ complex cations and [M(SCN)₄]^2- (M=Pd,Pt) complex anions bridged by Na-N in-teractions.     

Liquid–Vapor Phase Transitions for Systems with Finite-Range Interactions

We consider particles in ^d , d2, interacting via attractive pair and repulsive four-body potentials of the Kac type. Perturbing about mean-field theory, valid when the interaction range becomes infinite, we prove rigorously the existence of a liquid–gas phase transition when the interaction range is finite but long compared to the interparticle spacing for a range of temperature.     

Rules and reals

A ``-rule" is a sequence of pairwise disjoint sets , each of cardinality and subsets . A subset (a ``real') follows a rule if for infinitely many , .

Two obvious cardinal invariants arise from this definition: the least number of reals needed to follow all -rules, , and the least number of -rules with no real that follows all of them, .

Call a bounded rule if is a -rule for some . Let be the least cardinality of a set of bounded rules with no real following all rules in the set.

We prove the following: and for all . However, in the Laver model, .

An application of is in Section 3: we show that below one can find proper extensions of dense independent families which preserve a pre-assigned group of automorphisms. The original motivation for discovering rules was an attempt to construct a maximal homogeneous family over . The consistency of such a family is still open.

     

Homogeneity and the disjoint arcs property

Some previous results of the author towards a classification of homogeneous metric continua are improved. The disjoint arcs property is fully revealed in this context. In particular, closed -manifolds, , are characterized as those homogeneous continua which do not have the disjoint arcs property.

     

消费者连续统集合下一种投入产出经济的均衡和一般均衡价格

本给出了一个经济模型把跨期间的一般均衡理论和neo-Ricardian的生产价格理论联系起来，并改进了Roce-Anne Oana模型[1][2]。即把消费有限改变消费连续统，并在Rose-Anne Dana模型的基础上，加了条件C.4和C.7，得出了两个重要的结果：（1）在标准条件下，此模型有一均衡使得每一个生产的每期最大利润是相等的；（2）如考虑生产价格是稳定价格；且等于最大利润；则在适当的条件下，这样的价格系统是存在且唯一的，而所定义的均衡的非折扣的价格序列收敛于生产价格。因此均衡价格依赖于技术和消费特征，但在取极限时，有关价格仅依赖于技术。