Synthesis and Crystal Structure of 3-Methyl-4-phenyl-5-(2-pyridyl)-1,2,4-triazole

Abstract  

The title compound, 3-methyl-4-phenyl-5-(2-pyridyl)-1,2,4-triazole was synthesized by reaction of diphenylphosphazoanilide with N-acetyl-N′-(2-pyridoyl)hydrazine. Crystals suitable for X-ray analysis were obtained from a mixed solution of water and ethanol in a one-to-one volume ratio. The crystal is orthorhombic, space group P2₁2₁2₁ with crystallographic parameters: a = 19.414(4) Å, b = 17.172(3) Å, c = 7.4850(15) Å, β = 90.00°, μ = 0.079 mm⁻¹, V = 2495.3(8) Å³, Z = 8, Dc = 1.258 g/cm³, F(000) = 992, T = 295(2) K. The X-ray results showed that in the crystal structure of the title compound, the 1,2,4-triazole, pyridine and benzene rings are not coplanar.     

MH/Ni电池用稀土系储氢合金的失效及回收研究

探讨了深度过放电对MH／Ni电池负极储氢合金的影响。发现在过放电后，负极储氢合金的XRD结构图中，除了储氢合金的主相外，还出现了十分明显的Al(OH3),La(OH)3的衍射峰。结合各种情况下储氢合金失效的,原因利用化学处理及再熔炼的方法对失效MH／Ni电池的负极粉进行了回收实验，并对比了回收合金与原合金的结构及电化学性能。XRD测试结果表明回收合金与原合金的结构相同，均为CaCu5型。恒电流充放电实验发现，回收合金与原合金粉相比，放电容量接近，放电电位高。不寿命测试结果表明，回收合金较原合金容量衰减更缓慢。     

Synthesis,structural and spectroscopic characterization of the α and β forms of bis(imidazole)copper(II) dibenzoate, [Cu(im)2(OBz)2]

Two modifications of the and forms of bis(imidazole)copper(II) dibenzoate, [Cu(im)₂(OBz)₂], have been obtained by recrystallization from EtOH. X-ray analysis reveals that the two modifications have the same structure with different geometric parameters. The form crystallizes in the C2/c space group and the form, in the P2(1)/n space group. The crystal structures of both consist of centrosymmetric monomeric molecules of [Cu(im)₂(OBz)₂] with a distorted octahedral geometry for the CuN₂O₂O₂ chromophore. The e.s.r. spectra of the and forms exhibit a shf structure that consists of 9 lines, and these signals are also different from those of monomeric tetra(imidazole)copper(II) diacetate. Electronic and i.r. spectra are in agreement with the structural data.     

On Piterbarg theorem for maxima of stationary Gaussian sequences

Limit distributions of maxima of dependent Gaussian sequence are different according to the convergence rate of their correlations. For three different conditions on convergence rate of the correlations, in this paper, we establish the Piterbarg theorem for maxima of stationary Gaussian sequences.     

Conditions based on conditional moments for max-stable limit laws

Let X ₁, X ₂, ...X _n be independent and identically distributed random variables with common distribution function F. Necessary and sufficient conditions for F to belong to the domains of attraction of Φ _α and Ψ _α are derived in terms of conditional moments.      

Almost Sure Central Limit Theorem for Partial Sums of Markov Chain

The authors prove an almost sure central limit theorem for partial sums based on an irreducible and positive recurrent Markov chain using logarithmic means,which realizes the extension of the almost sure central limit theorem for partial sums from an i.i.d.sequence of random variables to a Markov chain.     

Kinetic study on the reaction of lauric acid with ethanol catalyzed by deep eutectic solvent based on cetyl trimethyl ammonium bromide

In this work, a novel type of deep eutectic solvents (DES: CTAB–DES) based on cetyl trimethyl ammonium bromide (CTAB) was successfully synthesized by mixing CTAB with p-toluenesulfonic acid monohydrate and applied as catalysts for the esterification reaction of ethanol and lauric acid. The kinetics of the reaction of ethanol and lauric acid catalyzed by CTAB–DES was investigated in the temperature range of 328.15–348.15 K. The influence of different parameters including agitation speed, temperature, catalyst loading, and the lauric acid to ethanol molar ratio on the conversion of lauric acid was discussed. The kinetic experimental data obtained were correlated by the pseudo-homogeneous model, and the results show that it can predict the reaction process well. Moreover, CTAB–DES can be reused six times without any significant decrease in catalytic activity.     

Almost sure central limit theorem for partial sums and maxima

Let X, X₁, X₂, … be i.i.d. random variables with nondegenerate common distribution function F, satisfying EX = 0, EX² = 1. Let X_i and M_n = max{X_i, 1 ≤ i ≤ n }. Suppose there exists constants a_n > 0, b_n ∈ R and a nondegenrate distribution G (y) such that Then, we have almost surely, where f (x, y) denotes the bounded Lipschitz 1 function and Φ(x) is the standard normal distribution function (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)