Complexation of copper(II)-Chelidamate: A multifrequency-pulsed electron paramagnetic resonance and electron nuclear double resonance analysis

Multifrequency electron paramagnetic resonance (EPR) and electron nuclear double resonance (ENDOR) techniques were used to obtain structural information about the copper(II)-chelidamate complex. Well-resolved nitrogen ENDOR spectra could be recorded from solid solution samples by using selective excitation of spin packets. Evaluation of nuclear quadrupole and dipolar hyperfine interaction of the directly ligated nitrogen allowed for an identification of the bond direction to the copper ion within the eigen frame of the copper g-matrix. Invoking two-dimensional EPR techniques, additional hyperfine interaction with a "distant" nitrogen spin, identified as resulting from the solvent dimethylformamide (DMF), was observed. The experimental data are only consistent with formation of a stable pseudoplanar copper complex with single solvent ligation via its oxygen atom.     

Effect of plasticizer on electrical conductivity and cell parameters of (PVC+KBrO<Subscript>3</Subscript>) polymer electrolyte system

The effect of a plasticizer dimethyl formamide (DMF) on the properties of a potassium ion conducting electrolyte based on polyvinyl chloride (PVC) complexed with potassium bromate (KBrO₃) prepared using solution-cast technique was investigated. Various experimental techniques, such as electrical conductivity (composition and temperature dependence) and transport number measurements, were used to characterize these polymer electrolyte films. It was found that the addition of plasticizer (DMF) significantly improved the ionic conductivity. Transport number for K⁺ ion ranged from 0.95 to 0.97 depending on the composition and temperature. Electrochemical cells of configuration K/PVC+KBrO₃/(I₂+C+electrolyte) and K/PVC+KBrO₃+plasticizer/(I₂+C+electrolyte) were fabricated. The discharge characteristics of the cells were studied under a constant load of 100 kΩ. The open-circuit voltage, short-circuit current, and discharge time for the plateau region were measured. The PVC+KBrO₃ polymer electrolyte system with added plasticizer showed an increased discharge time with respect to pure PVC+KBrO₃ electrolyte system. The features of complexation of the electrolytes were studied by X-ray diffraction.     

Path Integral Formulation of Fractionally Perturbed Lagrangian Oscillators on Fractal

Fractional path integration and particles trajectories in fractional dimensional space are motivating issues in quantum mechanics and kinetics. In this paper, a fractional path integral characterized by a fractional propagator is developed based on the framework of the fractional action-like variational approach. A fractional generalization of the free particle problem is found, the corresponding fractional Schrödinger equation is derived and a fractional path integral formulation of harmonic oscillators characterized by a perturbed Lagrangian is constructed after reducing the fractional action to an integral action on fractal. The new fractal-like path integral offers a number of motivating features which are discussed and analyzed. The main outcome is connected to the possibility of constructing on a fractal a path integral for the oscillators characterized by modified ground energy. In particular for low-temperature case, the fractional perturbed oscillator is characterized by a free energy larger than the standard value \( E_{0} = {{\hbar \omega } \mathord{\left/ {\vphantom {{\hbar \omega } 2}} \right. \kern-0pt} 2}.\) Such an increase in the ground energy generalizes the uncertainty principle without involving differentiable paths or even invoking new phenomenological theories based on deformed algebra.     

On near optimal trajectories for a game associated with the ��-Laplacian

A two-player stochastic differential game representation has recently been obtained for solutions of the equation ???_?? u?=?h in a ${{\mathcal C}^2}$ domain with Dirichlet boundary condition, where h is continuous and takes values in ${{\mathbb R}{\setminus}\{0\}}$ . Under appropriate assumptions, including smoothness of u, we identify a family of diffusion processes that may arise as the vanishing ?? limit law of the state process, when both players play ??-optimally. We also identify the limit law of the state process under a sequence of near saddle points.     

Novel Dispersion of MWCNTs in Polystyrene Polymer Induced by the Addition of 3-Hydroxy-2-Napthoic Acid

This article reports an extensive investigation of the unique dispersion behavior of solutions with multi-walled carbon nanotubes (MWCNTs) and 3-hydroxy-2-napthoic acid (β-HNA) in tetrahydrofuran (THF) solvent, which results into a multifold enhancement in the electrical properties of polystyrene (PS). A number of solutions with 0.4% of MWCNTs (w/v) and β-HNA (0–1%, w/v) in THF were prepared separately. MWCNTs precipitated out in THF solvent shortly after the preparation and formed two distinct phase regions (2φ). Gratifyingly, addition of β-HNA solution to the MWCNTs solution offered an unprecedented enhancement in the dispersion of MWCNTs. Such dispersion in solutions with only 0.02% β-HNA (w/v) was found to be stable up to 2 weeks at room temperature. FTIR spectroscopy was incorporated to illustrate the adsorption of β-HNA onto the surface of carbon nanotubes (CNTs). After this successful dispersion, nanocomposites solutions comprising of 0.067% β-HNA (w/v), 6.7% PS (w/v), and varying concentrations of MWCNTs (0–0.33%, w/v) were prepared. A remarkable dispersion behavior of MWCNTs in the presence of polymer was also observed. Finally, thin films made up of consistent polystyrene/β-HNA concentrations and increasing amounts of MWCNTs were prepared by casting technique to investigate the influence of dispersion on the electrical properties of the film. The dispersion significantly affected the DC electrical conductivity and incorporation of 5% MWCNTs elevated the electrical conductivity up to 10 orders of magnitude with respect to neat PS.