On the marginally trapped surfaces in 4-dimensional space-times with finite type Gauss map

In this paper we have studied the possibility of the center-of-mass energy of two particles colliding near the horizon of a static charged black hole in string theory. Various cases corresponding to the electric charge and the angular momentum of the particles were considered. The studies were done for the general black hole as well as for the extreme black hole. There were two scenarios where the center-of-mass energy reach very large values if the appropriate properties of the particles are chosen.     

Thermodynamics of adsorption of uranyl ions onto amidoximated poly(acrylonitrile)/poly(N‐vinyl 2‐pyrrolidone) interpenetrating polymer networks

The interaction of uranyl ions (UO) with interpenetrating polymer networks (IPNs) based on amidoximated poly(acrylonitrile)/poly(N‐vinyl 2‐pyrrolidone) was examined. The adsorption capacity of IPN hydrogels as well as the adsorption kinetics and the effect of temperature on UO ion adsorption were investigated. Thermodynamic quantities and kinetic parameters were calculated with adsorption isotherm data. The initial adsorption‐rate values for each temperature were calculated, and the corresponding rate constants decreased with increasing temperature. The adsorption enthalpy, entropy, and free energy of the UO ion with amidoximated IPN hydrogels were calculated from basic thermodynamic relations. It was assessed that adsorption occurred by strong electrostatic interactions with an adsorption enthalpy of ?31.5 kJ/mol. © 2004 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 42: 986–993, 2004     

Coumarin-derivatized fluorescent <Emphasis Type="Italic">vic</Emphasis>-dioxime-type ligand and its complexes; the preparation,spectroscopy, and electrochemistry

A new vic-dioxime bearing coumarin functionality, N′¹,N′²-Dihydroxy-N ¹,N ²-bis(4-methyl-2-oxo-2H-chromen-7-yl)oxalimidamid (LH₂), N,N-bis-[4-methylcoumarinyl]-diamino glyoxime (LH₂), and its mono- and dinuclear complexes {copper^II, cobalt^II, nickel^II and uranyl^II} have been reported. The fluorescence excitation and emission spectra of LH₂ and its complexes with metal ions were examined. It was observed that fluorescence and excitation emission intensity of LH₂ was quenched depending on complex formation with metal ions. The characterizations of all newly synthesized compounds were made by elemental analysis, ¹H-n.m.r, i.r., u.v.–vis., and l.c-m.s./m.s. data. Electrochemical behaviour of the ligand involving oxime and coumarine moieties, and its complexes with Ni^II, Cu^II, Co^II and UO ₂ ^II were investigated by cyclic voltammetry. The comparison of the electrochemical behaviour of the ligand with its complexes enabled us to identify metal-, oxime- and coumarine-based signals.     

Synthesis,Configuration, and Antimicrobial Properties of Novel Substituted and Cyclized ‘2′,3″‐Thiazachalcones’

Nine new thiazachalcone‐based drugs, compounds 1 – 9 , were prepared and fully characterized. The configurations of the photochemical‐dimerization products 7 – 9 were rationalized by semi‐empirical calculations. Both the experimental data and the theoretical calculations showed that the δ‐truxinic acid type dimer is the most stable isomer of all. All compounds were tested for their antibacterial and antifungal activities. The N‐alkylated congeners 4 – 6 showed strong antimicrobial activities against various bacteria and a yeast‐like fungus. The MIC and MBC values were as low as 0.1 μg/ml. All the compounds were active against the Gram‐positive bacterium Staphylococcus aureus.     

The Fermi–Walker Derivative on the Spherical Indicatrix of Timelike Curve in Minkowski 3-Space

In this paper Fermi–Walker derivative and Fermi–Walker parallelism and non-rotating frame concepts are given along the spherical indicatrix of a timelike curve in \({E_{1}^{3}}\). First, we consider a timelike curve in the Minkowski space and investigate the Fermi–Walker derivative along the tangent. The concepts which Fermi–Walker derivative are analyzed along its tangent. Then, the Fermi–Walker derivative and its theorems are analyzed along the principal normal indicatrix and the binormal indicatrix of timelike curve in \({E_{1}^{3}}\).     

Canal Surfaces with Quaternions

Quaternions are more usable than three Euler angles in the three dimensional Euclidean space. Thus, many laws in different fields can be given by the quaternions. In this study, we show that canal surfaces and tube surfaces can be obtained by the quaternion product and by the matrix representation. Also, we show that the equation of canal surface given by the different frames of its spine curve can be obtained by the same unit quaternion. In addition, these surfaces are obtained by the homothetic motion. Then, we give some results.     

Anionic and cationic polymerization of norbornadiene in hydrocarbon

Norbornadiene (NBD) has been successfully polymerized in benzene solvent in high yield (up to 100%) using AlCl₃ as initiator. Anionic polymerization of the same compound was achieved using butyllithium as initiator. According to the IR and NMR data, both polymers have a 2,6-disubstituted nortricyclene structure. The cationic polymerization gave an amorphous polymer; the anionic polymerization resulted in the formation of a crystalline product showing higher stability.     

New chlorogenic acid derivatives and triterpenoids from Scorzonera aucheriana

Chromatographic separation ofn-hexane and ethyl acetate fraction of a crude methanol extract obtained from aerial parts of theScorzonera aucherianaDC collected from Sivas province of Turkey yielded nine natural compounds; two new 3-caffeoyl-quinic acid analogs (1-2), one new taraxasterol oleate (3), and six known triterpenoids taraxasterol (4), taraxasterol acetate (5), ptiloepoxide (6), lupeol (7), lupeol acetate (8), andβ-sitosterol (9) were characterized. The structures of the isolated compounds were elucidated on the basis of NMR (¹H,¹³C, COSY, HMBC, HSQC, and TOCSY), UV, FT-IR and LC-Q-TOF-MS spectrometric data.     

Preparation of nano-silver-supported activated carbon using different ligands

In this study, we investigated the effect of water soluble ligands [i.e., sodium borohydride (NaBH₄), polyvinyl alcohol, glucose and galactose] on the preparation of nano-silver-supported activated carbon (AC). Ligand-stabilized Ag nanoparticle dispersion characteristics were also compared with those of ligand-free Ag nanoparticles. The nanoparticle distribution was investigated using a scanning electron microscope (SEM) which enabled a qualitative analysis of ligand-dependent nanoparticle adsorption onto AC. Silver nanoparticles with average sizes ranging from 7 to 20 nm were synthesized with different coatings. In particular, silver nanoparticles reduced and stabilized by NaBH₄ were found to have a dense and homogenous dispersion of sizes in the range of 100–400 nm on the AC surface. These particles also seemed to remain on the AC surface after rinsing with water. The distribution of silver nanoparticles prepared in the presence of NaBH₄/PVA was not as good as the one prepared with NaBH₄. Their aggregate size varied from 300 to 600 nm on the AC surface and particles greater than 500 nm were eliminated from the AC surface upon rinsing with water. Glucose- and galactose-stabilized silver nanoparticles did not display an extensive adsorption and their adsorption seemed to be poor. However, glucose-stabilized silver nanoparticles could still be detectable to some extent after rinsing, while galactose-stabilized ones could not. Antimicrobial studies showed that all silver-containing carbons studied in this study inhibit bacterial growth and act as bacteriostatic agents.