Determination of BTEX Compounds by Dispersive Liquid–Liquid Microextraction with GC–FID

Rapid, inexpensive, and efficient sample-preparation by dispersive liquid–liquid microextraction (DLLME) then gas chromatography with flame ionization detection (GC–FID) have been used for extraction and analysis of BTEX compounds (benzene, toluene, ethylbenzene, and xylenes) in water samples. In this extraction method, a mixture of 25.0 μL carbon disulfide (extraction solvent) and 1.00 mL acetonitrile (disperser solvent) is rapidly injected, by means of a syringe, into a 5.00-mL water sample in a conical test tube. A cloudy solution is formed by dispersion of fine droplets of carbon disulfide in the sample solution. During subsequent centrifugation (5,000 rpm for 2.0 min) the fine droplets of carbon disulfide settle at the bottom of the tube. The effect of several conditions (type and volume of disperser solvent, type of extraction solvent, extraction time, etc.) on the performance of the sample-preparation step was carefully evaluated. Under the optimum conditions the enrichment factors and extraction recoveries were high, and ranged from 122–311 to 24.5–66.7%, respectively. A good linear range (0.2–100 μg L⁻¹, i.e., three orders of magnitude; r ² = 0.9991–0.9999) and good limits of detection (0.1–0.2 μg L⁻¹) were obtained for most of the analytes. Relative standard deviations (RSD, %) for analysis of 5.0 μg L⁻¹ BTEX compounds in water were in the range 0.9–6.4% (n = 5). Relative recovery from well and wastewater at spiked levels of 5.0 μg L⁻¹ was 89–101% and 76–98%, respectively. Finally, the method was successfully used for preconcentration and analysis of BTEX compounds in different real water samples.

     

Familles maximales de systèmes de points surabondants dans P2

Sans résumé     

A note on some constants related to the zeta-function and their relationship with the Gregory coefficients

In this article, new series for the first and second Stieltjes constants (also known as generalized Euler’s constant), as well as for some closely related constants are obtained. These series contain rational terms only and involve the so-called Gregory coefficients, which are also known as the (reciprocal) logarithmic numbers, the Cauchy numbers of the first kind and the Bernoulli numbers of the second kind. In addition, two interesting series with rational terms for Euler’s constant \(\gamma \) and the constant \(\ln 2\pi \) are given, and yet another generalization of Euler’s constant is proposed and various formulas for the calculation of these constants are obtained. Finally, we mention in the paper that almost all the constants considered in this work admit simple representations via the Ramanujan summation.     

A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation

An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error representations based on space-time cells is presented such that it can be used for adaptive strategies based on dual weighted residual methods. A posteriori error estimates based on weighted global projections and local projections are also proved.     

Mild and highly efficient method for the synthesis of 2-arylbenzimidazoles and 2-arylbenzothiazoles

A new, convenient method for the syntheses of 2-substituted benzimidazole and benzothizole is described. Short reaction times, large-scale synthesis, easy and quick isolation of the products, excellent chemoselectivity, and excellent yields are the main advantages of this procedure.     

修饰的多壁碳纳米管糊电极用于生物与制药样品中苄丙酮香豆素电催化氧化和测定

采用一种简单灵敏的方法开发了在多壁碳纳米管修饰的ZnCrFeO4糊电极(MWCNTs/ZnCrFeO4/CPE)表面测定苄丙酮香豆素的新型传感器.运用循环伏安法、差示脉冲伏安法、计时电流法和电化学阻抗谱考察了该化学修饰电极上苄丙酮香豆素的电化学性能.结果表明,MWCNTs/ZnCrFeO4/CPE电极对苄丙酮香豆素氧化表现出较高的电催化活性,在pH=4时,产生峰值氧化电流约0.97 vs Ag/AgCl参比电极.当苄丙酮香豆素浓度在0.02-920.0 μmol/L范围内,该峰电流与其呈线性关系,检测极限(3σ)为0.003 μmol/L.另外,运用差示脉冲伏安法测定了MWCNTs/ZnCrFeO/CPE电极上苄丙酮香豆素的催化反应速率常数和扩散系数.     

Dibenzofuran Derivatives Inspired from Cercosporamide as Dual Inhibitors of Pim and CLK1 Kinases

Pim kinases (proviral integration site for Moloney murine leukemia virus kinases) are overexpressed in various types of hematological malignancies and solid carcinomas, and promote cell proliferation and survival. Thus, Pim kinases are validated as targets for antitumor therapy. In this context, our combined efforts in natural product-inspired library generation and screening furnished very promising dibenzo[b,d]furan derivatives derived from cercosporamide. Among them, lead compound 44 was highlighted as a potent Pim-1/2 kinases inhibitor with an additional nanomolar IC₅₀ value against CLK1 (cdc2-like kinases 1) and displayed a low micromolar anticancer potency towards the MV4-11 (AML) cell line, expressing high endogenous levels of Pim-1/2 kinases. The design, synthesis, structure–activity relationship, and docking studies are reported herein and supported by enzyme, cellular assays, and Galleria mellonella larvae testing for acute toxicity.     

Nouvelles expressions des formules de Hasse et de Hermite pour la fonction Zêta d’Hurwitz

This article presents an interesting relation between the Hurwitz zeta function ζ(s,x)$\zeta (s,x)$ and a modification of the Bell polynomials through the rewriting of two classical identities discovered by Hasse and Hermite, respectively. Some applications of these new expressions to Euler's sums are also underscored.     

Original one-pot microwave-promoted Hunsdiecker-Suzuki strategy: straightforward access to trans-1,2-diarylethenes from cinnamic acids

An original strategy combining a Hunsdiecker-type bromodecarboxylation and a Suzuki cross-coupling reaction starting from various cinnamic acids has been developed in one-pot and under microwave heating to give trans-1,2-diarylethenes in few minutes.