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Synthesis, Spectroscopic Studies and X-Ray Diffraction of Heptacoordinated Mn(II) and Co(II) Complexes with Ligands Derived from Carbonohydrazide

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Open Journal of Inorganic Chemistry 2019年第4期9卷 35-52页

作者： Thierno Moussa Seck Adama Sy djiby lo Papa Aly Gaye Mohamed Lamine Sall Ousmane Diouf Mahy Diaw Mohamed Gaye Department of Chemistry University Cheikh Anta Diop Dakar Senegal Department of Chemistry University Gaston Berger Saint-Louis Senegal Department of Chemistry University Assane SECK Ziguinchor Senegal

The ligand 1-(1-(pyridin-2-yl)ethylidene)carbonohydrazide (H4L1) and 1-(pyridin-2-ylmethylene)carbonohydrazide (H4L2) were prepared by reaction of carbonohydrazide with 2-acetylpyridine or pyridine carbaldehyde respectively in a reflux methanol solution. The complexes are prepared by reaction of the ligand with the appropriate metal salt. These complexes are well characterized by elemental analysis, IR and UV spectroscopies and their structure were determined by single X-ray diffraction technic. In the crystal of the dinuclear complex [Mn2(H4L1)2(H2O)4]·Cl4, 1) each Mn(II) center is seven coordinated by two nitrogen atom and one carbonyl atom of the one ligand and one nitrogen atom and one carbonyl oxygen atom of another ligand molecule. The coordination sphere is completed by two water molecules. Each of the carbonyl oxygen atom acts as bridge between the two Mn(II) centers. In the mononuclear complex [Co(H4L2)(NO3)(H2O)2]·(NO3);2) the Co(II) center is heptacoordinated. The ligand acts in tridentate fashion through two nitrogen atoms and one carbonyl oxygen atom. Two water molecules lie in the apical positions. One nitrate group acts in bidentate manner while the other nitrate group remains uncoordinated. In both complexes the coordination polyhedral are best described as a pentagonal bipyramid. The molecules are linked together in each case by multiple hydrogen bond interaction resulting in a three-dimensional network. The crystallographic data has been deposited in Cambridge Crystallographic Data Centre [CCDC No. 1944387 (complex 1) and 1944386 (complex 2)].

关键词： Carbonohydrazide Manganese Cobalt Complex X-Ray Diffraction

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On the Functional Empirical Process and Its Application to the Mutual Influence of the Theil-Like Inequality Measure and the Growth

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Applied Mathematics 2013年第7期4卷 986-1000页

作者： Pape djiby Mergane Gane Samb lo LERSTAD Université Gaston Berger de Saint-Louis Saint-Louis Sénégal LERSTAD Université Gaston Berger de Saint-Louis Saint-Louis Sénégal LSTA Université Pierre et Marie Curie Paris France

We set in this paper a coherent theory based on functional empirical processes that allows to consider both the poverty and the inequality indices in one Gaussian field in which the study of the influence of the one over the other is done. We use the General Poverty Index (GPI), that is a class of poverty indices gathering the most common ones and a functional class of inequality measures including the Entropy Measure, the Mean logarithmic Deviation, the different inequality measures of Atkinson, Champernowne, Kolm and Theil called Theil-Like Inequality Measures (TLIM). Our results are given in a unified approach with respect to the two classes instead of their particular elements. We provide the asymptotic laws of the variations of each class over two given periods and the ratio of the variation and derive confidence intervals for them. Although the variances may seem somehow complicated, we provide R codes for their computations and apply the results for the pseudo-panel data for Senegalwith a simple analysis.

关键词： Functional Empirical Process Asymptotic Normality Welfare and Inequality Measure Weak Laws Pro and Anti-Poor Growth

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Functional Weak Laws for the Weighted Mean losses or Gains and Applications

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Applied Mathematics 2015年第5期6卷 847-863页

作者： Gane Samb lo Serigne Touba Sall Pape djiby Mergane LERSTAD Universit&eacute Gaston Berger de Saint-louis Saint-Louis S&eacute né gal LSTA Universit&eacute Pierre et Marie Curie Paris France Ecole Normale Supé rieure Dakar S&eacute né gal

In this paper, we show that many risk measures arising in Actuarial Sciences, Finance, Medicine, Welfare analysis, etc. are gathered in classes of Weighted Mean loss or Gain (WMLG) statistics. Some of them are Upper Threshold Based (UTH) or lower Threshold Based (LTH). These statistics may be time-dependent when the scene is monitored in the time and depend on specific functions w and d. This paper provides time-dependent and uniformly functional weak asymptotic laws that allow temporal and spatial studies of the risk as well as comparison among statistics in terms of dependence and mutual influence. The results are particularized for usual statistics like the Kakwani and Shorrocks ones that are mainly used in welfare analysis. Data-driven applications based on pseudo-panel data are provided.

关键词： Empirical Process Time Dependent Process Weak Theory Risk Measures Poverty Index loss Function Economic Welfare

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