Re-nnd generalized inverses

In this paper, we give some necessary and sufficient conditions for the existence of Re-nnd and nonnegative definite {1,3}$\{1,3\}$- and {1,4}$\{1,4\}$-inverses of a matrix A∈C^n×n$A\in {\mathbb{C}}^{n\times n}$ and completely described these sets. Moreover, we prove that the existence of nonnegative definite {1,3}$\{1,3\}$-inverse of a matrix A   is equivalent with the existence of its nonnegative definite {1,2,3}$\{1,2,3\}$-inverse and present the necessary and sufficient conditions for the existence of Re-nnd {1,3,4}$\{1,3,4\}$-inverse of A.     

On the similarity of some three-point methods for solving nonlinear equations

In this short note we discuss certain similarities between some three-point methods for solving nonlinear equations. In particular, we show that the recent three-point method published in [R. Thukral, A new eighth-order iterative method for solving nonlinear equations, Appl. Math. Comput. 217 (2010) 222-229] is a special case of the family of three-point methods proposed previously in [R. Thukral, M.S. Petkovi?, Family of three-point methods of optimal order for solving nonlinear equations, J. Comput. Appl. Math. 233 (2010) 2278-2284].     

Equilibrium studies on complex formation reactions of dichlorido[(R,R)-trans-1,2-diaminocyclohexane]platinum(II) complex with ligands of biological significance

Abstract  

The hydrolysis and complex formation equilibria of [Pt(dach)(H₂O)₂]²⁺, where dach is (R,R)-trans-1,2-diaminocyclohexane, with some sulfur- and nitrogen-bonding ligands, such as l-methionine, glutathione, inosine, inosine-5′-monophosphate, and guanosine-5′-monophosphate, were studied in aqueous 0.10 M NaClO₄ solution at 298 K by potentiometric titrations. The experimentally determined pK _a values for the studied diaqua complex were 6.00 and 10.03, respectively. The acid dissociation constants of the ligands were also determined. The stoichiometry and stability constants of the formed complexes are reported, as well as the concentration distribution of the various complex species evaluated as a function of pH. In all studied systems, species with one coordinated molecule of ligand were detected. However, only in systems with l-methionine and inosine, complexes with two molecules of ligand directly coordinated to the Pt(II) ion were found. The results also show that glutathione formed the most stable complexes. These results could contribute to better understanding of the interactions between Pt(II) complexes and biologically significant molecules.     

Silica Gel as a Promoter of Sequential Aza‐Michael/Michael Reactions of Amines and Propiolic Esters: Solvent‐ and Metal‐Free Synthesis of Polyfunctionalized Conjugated Dienes

We present an efficient, simple, metal‐ and solvent‐free silica‐gel‐promoted synthesis of functionalized conjugated dienes by sequential aza‐Michael/Michael reactions by starting from commercially available primary amines and propiolic esters. The scope and usefulness of the method is demonstrated for 31 examples, including a range of propiolic esters, aliphatic amines, and differently substituted aromatic amines. For aliphatic amines, the products were obtained within 0.5 to 4 h in 52 to 85 % yield, compared with 3.5 to 22 h under classical solution‐phase synthesis, which proceeds with similar or lower yields. The method was found to be particularly useful for weakly nucleophilic aromatic amines, which provided products in 21 to 73 % yield over 2.5 to 9.5 h compared with yields of 0 to 49 % over 1 to 6 d under standard solution‐phase conditions, and for more hydrophobic esters that gave products in yields of 47 to 79 % over 1 to 3 h compared with 0 to 45 % over 4 to 114 h in solvent.     

The effect of segment length and concentration on dielectric properties of polypropyleneoxide-based polyurethanes

Three series of segmented polyurethanes based on MDI, variable chain extender, and polypropylene oxide of MW=1000, 2000, and 3000 were synthesized and their dielectric behavior examined.Dielectric relaxations in the segmented polyurethanes were investigated between –150°C and +150°C in the 100 Hz to 10 kHz range. In general, three transitions, designated as, , and were observed, and ascribed in accordance with calorimetric relaxations to glass transitions of the hard and soft segments, and Shatzki-type motions, respectively. The effect of structure variables such as soft segment size, type of chain extender (ethylene glycol, butane diol, and hexane diol) and soft segment concentration, as well as the effect of interaction of the phases on dielectric properties was discussed. It was found that a certain degree of phase mixing exists in all series, detected by the variation of theT _g of the soft segment with soft segment concentration, contrary to DSC results, which was ascribed to thermal treatment prior to the dielectric measurements. It appears that interfacial polarization becomes important only above the transition temperature.     

Electronic spectra of Cu(II) crystal complexes with S-methylthiosemicarbazones

Electronic spectra for a series of coordination compounds of copper(II) with tridentant ligands of salicyl aldehyde S-methylthiosemicarbazone and 8-quinoline aldehyde S-methylthiosemicarbazone were investigated. Coordinations of central ions were determined on the basis of X-ray data and IR spectra. Electronic transitions were detected by processing the diffusion-reflection spectra according to theKubelka-Munk theory. Identifications proved the presence of bands corresponding to intraligand transition, charge transfer spectra and the transition of d-d type which are the result of the elimination of d-orbital degeneration for Cu(II) ions in the crystal field. The effect of the symmetry of coordination polyhedrons is discussed.

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Elektronenspektren von Cu(II) Kristall-Komplexen mit S-Methylthiosemicarbazonen

Zusammenfassung Es wurden Elektronenspektren einer Serie von Koordinationsverbindungen des Kupfer(II) mit tridentaten Liganden (Salizylaldehyd-S-methylthiosemicarbazon und 8-Chinolinylaldehyd-S-methylthiosemicarbazon) untersucht. Die Zentralionkoordination wurde durch Röntgenstrahlenuntersuchungen und auf Grund der IR-Spektren festgestellt. Die Elektronenübergänge wurden nach derKubelka-Munk-Theorie aus den diffusen Reflexionsspektren ermittelt. Die Banden wurden den Intraligandübergängen, dem charge-transfer-Spektrum und den d-d-Typ-Übergängen, die als Resultat der Entartungsbeseitigung der Cu(II)-d-Orbitale im Kristallfeld verschiedener Symmetrie entstehen, zugeschrieben.

     

Controlled Growth of Hybrid Halide Perovskites by Crown Ether Complexation for Perovskite Solar Cells

Host-guest complexation has demonstrated potential for controlling hybrid organic-inorganic metal halide perovskite materials. In particular, crown ethers have been used due to their capacity to interact with metal cations (e. g., Pb²⁺) and small organic cations (e. g., methylammonium (MA)), which can affect hybrid perovskite materials and their solar cells. However, this strategy has been underexploited in perovskite photovoltaics, and the underlying mechanisms are not well understood. In this study, we investigate the influence of 15-crown-5 ( 15C5 ) and its benzannulated derivative (benzo-15-crown-5, B15C5 ), as well as amino-functionalized analogues (15-crown-5)-2-methylamine, 2A-15C5 , and 4′-aminobenzo-15-crown-5, 4A-B15C5 , on MAPbI₃ perovskite crystallization and inverted solar cell performance. We demonstrate the propensity of crown ether modulators to interact with Pb²⁺ cations at the perovskite interface by density functional theory calculations. This has been shown to facilitate oriented crystal growth and homogeneous film formation, as revealed by X-ray diffraction analysis complemented by scanning electron microscopy. As a result, we demonstrate an increase in the power conversion efficiency of the solar cells of interest to advancing hybrid photovoltaics.     

Kinetic studies on the reactions of [Pd(dach)(X-Y)] complexes with some DNA constituents

The kinetics of complex-formation reactions of six Pd(dach) complexes, dach = 1,2-trans-R,R-diaminocyclohexane, viz. [Pd(dach)Cl2], [Pd(dach)(H2O)2]2+, and four complexes with different chelating leaving groups X-Y, viz. [Pd(dach)(O,O-cyclobutane-1,1-dicarboxylate)], [Pd(dach)(N,O-glycine)](+), [Pd(dach)(N,S-methionine)]+ and [Pd(dach)(O,O-oxalate)], were studied. The effect of the leaving group on the lability of the resulting Pd(ii) complexes was studied for the nucleophiles inosine, inosine-5'-monophosphate and guanosine-5'-monophosphate under pseudo-first-order conditions as a function of nucleophile concentration, temperature and pressure using stopped-flow techniques. Two consecutive reaction steps, which both depend on the nucleophile concentration, were observed. The rate constants for all reactions indicate a direct substitution of the X-Y chelate by the selected nucleophiles, thereby showing that the nature of the chelate, viz. O-O (cbdca), (ox), N-O (gly) or S-N (l-met), plays an important role in the kinetic and mechanistic behavior of the Pd(ii) complexes. The mechanism of the substitution reactions is associative in nature as supported by the large and negative values of DeltaS(double dagger) and DeltaV(double dagger).     

Activity concentration of 40K in drinking water in Slovenia

Activity concentrations of ⁴⁰K and ³H in drinking water from four sources in the vicinity of NPP Kr?ko and their correlation with geological data are presented. The data extends from the year 1996 until present. In addition, activity concentrations of ⁴⁰K in drinking water at randomly selected sources in Slovenia are presented on a map. These activity concentrations vary by more than an order of magnitude with the largest values in northeastern part of the country.