Determination of the interaction using FTIR within the components of GPE based on the synthesized grafted polymer

An oxyethylene chain (–CH₂–CH₂–O–) grafted polymer (P(MMA–MAh)–PEGME) was synthesized by reacting poly(ethylene glycol) monomethyl ether (PEGME) with the copolymer of poly(methyl metacrylate–maleic anhydride) (P(MMA–MAh)) and endcapping the residual carboxylic acid with methanol. Rectorite modified with dodecyl benzyl dimethyl ammonium chloride (OREC) was used as a filler additive to modify gel polymer electrolytes (GPE) that consisted of P(MMA–MAh)–PEGME used as polymer matrix, propylene carbonate (PC) as plasticizer and LiClO₄ as lithium ion producer. Characterization of interaction of the polar group of C=O or C–O–C in PC and grafted polymer with Li⁺ and OH group on OREC surface has been thoroughly examined using Fourier transform infrared (FTIR), respectively. The quantitative analysis of FTIR shows that the absorptivity coefficients (a) of polymer/LiClO₄, PC/LiClO₄, PC/OREC and polymer/OREC are 0.705, 0.113, 0.430 and 0.500, respectively, which means that the Li⁺ or OH bonded polar group of C=O and C–O–C is more sensitive than free C=O and C–O–C in FTIR spectra. The limited values of bonded C=O and C–O–C equivalent fraction of polymer/LiClO₄, PC/LiClO₄, PC/OREC and polymer/OREC are 33%, 94%, 60% and 22%, respectively, which implies that the interaction within the components is reversible and the intensity of interaction is ordered as PC/LiClO₄, PC/OREC, polymer/OREC and polymer/LiClO₄.     

Study of the Mechanism of the Autowave Structure Formation at the Reaction Front

A qualitative mechanism of the formation of wave structures at the reaction front is proposed. It is assumed that the structures are formed as a result of the interaction of two subsystems, one of which is responsible for the front formation, and the other is responsible for the formation of structures themselves. Three models are considered; two-dimensional analogues of concentric and spiral waves are numerically demonstrated in each. Fitzhugh–Nagumo, Fisher–Kolmogorov–Petrovskii–Piscounov (Fisher–KPP), and Oregonator models were used as subsystems.     

Influence of the Stability of the Atmospheric Boundary Layer on the Parameters of Propagating Acoustic Waves

Acoustical Physics - The study analyzes experimental data on amplitude–time parameters p+, p–, t+, t–, tR+, tR– of the first positive and negative phases of acoustic waves...     

Calculation of Nuclear Stopping in the Semiclassical Approximation

Technical Physics - The results of calculating nuclear stopping in the semiclassical approximation for the H–Be, H–C, H–W, O–C, O–Be, and O–Al systems are...     

On the Weak Solutions to the Maxwell–Landau–Lifshitz Equations and to the Hall–Magneto–Hydrodynamic Equations

In this paper we deal with weak solutions to the Maxwell–Landau–Lifshitz equations and to the Hall–Magneto–Hydrodynamic equations. First we prove that these solutions satisfy some weak-strong uniqueness property. Then we investigate the validity of energy identities. In particular we give a sufficient condition on the regularity of weak solutions to rule out anomalous dissipation. In the case of the Hall–Magneto–Hydrodynamic equations we also give a sufficient condition to guarantee the magneto-helicity identity. Our conditions correspond to the same heuristic scaling as the one introduced by Onsager in hydrodynamic theory. Finally we examine the sign, locally, of the anomalous dissipations of weak solutions obtained by some natural approximation processes.     

Short-time dynamics of the positional order of the two-dimensional hard disk system

We investigate the positional order of the two-dimensional hard disk model with short-time dynamics and equilibrium simulations. The melting density and the critical exponents z and η are determined. Our results rule out a phase transition as predicted by the Kosterlitz–Thouless–Halperin–Nelson–Young theory as well as a first-order transition.     

Theory of melting of molecular crystals within the new modified model: The complete pictures of the transition temperatures

The new modified form of the Pople–Karasz theory of melting of molecular crystals was introduced and applied to investigate the thermodynamics of melting, solid–solid, solid–nematic and nematic–isotropic liquid transitions in the previous papers. In this paper, we give the complete pictures of the transition temperatures and compare with the original Pople–Karasz (PK) theory and its previous modified theories. We also found that the new modified model also gives a much better agreement with available experimental data for the solid–nematic transition than the PK and its previous modified theories by using the different adjustable parameters.     

Density of states of narrow superconducting channels in the regime of quantum fluctuations of the order parameter

The current–voltage characteristics of superconductor–insulator–semiconductor (S1–I–S2) tunnel junctions, where superconducting electrode S2 is a thin nanowire, are studied experimentally. The observed blurring of the gap singularities is interpreted as a manifestation of the order parameter quantum fluctuations. We propose a model taking into account the broadening of the density of states due to the interaction of electrons with the Mooij–Schön plasmon mode emerging in a quasi-one-dimensional superconducting channel in the regime of quantum fluctuations of the order parameter. The model gives results that are in a reasonable qualitative agreement with the experimental data.     

Optimising the absorption and transmission properties of aircraft microperforated panels

A method for evaluating the absorption and transmission performances of multi-layer micro-perforated structures whose facings are excited by different noise sources is described here. It is applied to determine if the acoustical performances of a number of Micro-Perforated Panels (MPPs), optimised both in absorption and transmission, exceed those of typical aircraft panels undergoing internal and external acoustic excitations. A fully-coupled modal formulation is presented that accounts for the effects of the sub-structure volumetric resonances on the acoustical properties of the partitions. It is validated against full-scale measurements performed with a pressure–velocity probe and a laser vibrometer to estimate the absorption and transmission coefficients of single- and double-layer micro-perforated partitions. The model is used to optimise the sound power dissipated by three layouts obtained from a typical aircraft partition by micro-perforating the trim panel (MPP–Porous–Panel), removing the fibreglass material (MPP–Cavity–Panel) and adding a second MPP inside the separating cavity (MPP–MPP–Panel). It is concluded that the MPP–Porous–Panel and MPP–MPP–Panel layouts provide excess interior noise reduction above 1.8 kHz and 1.2 kHz respectively, whereas the MPP–Cavity–Panel is not acoustically more efficient than a typical aircraft panel.     

Relaxation method for constructing the interaction potentials of metal–nonmetal atomic pairs

An algorithm that employs the method of successive relaxation for determining the parameters of the pairwise interaction potential of iron and nonmetallic atoms that implicitly considers the redistribution of electron density between atoms is developed. The parameters of the interatomic interaction potential are calculated for ten pairs of elements: Fe–P, Fe–S, Fe–B, Fe–V, Fe–Mo, Fe–Cr, Fe–Mn, Fe–Si, Fe–Ni, and Fe–Al. The structural and thermodynamic properties of solid solutions based on iron and pure materials, and some pairwise interaction potentials constructed earlier in the Lennard–Jones form for identical metal atoms and homogeneous pairs of different metal–metal atoms, are used in these calculations.     

Effect of the Ba+ Ion Implantation on the Composition and Electronic Properties of MoO3/Mo(111) Films

Technical Physics - It is shown that a film consisting of the Mo–O, Mo–Ba–O, and Ba–O compounds is formed in the ion-implanted layer upon implantation of MoO3 with the Ba+...     

On array models theoretical predictions versus measurements for the growth of cells and dendrites in the transient solidification of binary alloys

Most of the theoretical studies of the growth of cells/dendrites in the literature are based on the assumption that it is a steady-state phenomenon. The analysis of cells/dendritic structures in the unsteady-state regime is very important, since it encompasses the majority of industrial solidification processes. The aim of the present investigation was to validate the predictions furnished by the cellular and primary dendritic growth models in the literature for unsteady-state conditions against a large spectrum of experimental data, which includes those for a variety of Al alloys (Al–Cu, Al–Si, Al–Fe, Al–Bi, Al–Ni, Al–Sn) and low thermal diffusivity alloys, such as Sn–Pb and Pb–Sb. The predictions furnished by the Hunt–Lu model do not match the cellular experimental scatter for any examined alloy system. However, this model matches well with the primary dendritic growth of Al alloys, with the exception of Al–Sn alloys, for which the Hunt–Thomas approach has to be applied. The primary dendritic predictions of Bouchard–Kirkaldy's model, performed with the originally suggested a ₁ calibration factors are, in most cases, located above the experimental points. Experimental growth laws relating cellular and dendritic spacings with the tip growth rate and the cooling rate, respectively, are established.     

Analytical approach for the fractional differential equations by using the extended tanh method

In this study, we consider analytical solutions of space–time fractional derivative foam drainage equation, the nonlinear Korteweg–de Vries equation with time and space-fractional derivatives and time-fractional reaction–diffusion equation by using the extended tanh method. The fractional derivatives are defined in the modified Riemann–Liouville context. As a result, various exact analytical solutions consisting of trigonometric function solutions, kink-shaped soliton solutions and new exact solitary wave solutions are obtained.     

Luminescence investigation of the surface states of η-alumina. Correlation with the infra-red study of the evolution of the surface hydroxyl groups

The two techniques of luminescence and of infra-red spectrophotometry have been used in an attempt to characterize surface states of η-alumina. Infra-red absorption bands of hydroxyl groups of different coordinations are observed, in agreement with previous results, and evolution of hydroxyl groups according to different treatments allows a luminescence at about 440–450 nm excited at 350–360 nm to be ascribed to these groups. Luminescence with an apparent maximum of 390 nm excited at 250 nm is attributed to internal vacancies, and luminescence with a maximum at 480–500 nm excited at 270–280 nm is attributed to surface vacancies.     

Dependence of the binding energy of the metal crystal lattice on the average number of conduction electrons

We establish the dependence of the electron binding energy in a separate isolated Wigner–Seitz cell of the metal crystal lattice on the average number of electrons located in this cell. The calculation is made using the modified Hellmann–Feynman theorem, which allows relating the eigenvalue of the steady-state Hamiltonian to the variation in its parameters that do not affect the degree of freedom of a system. As one of these parameters, we choose the average number of electrons in the cell. According to the calculated data, removal of 10–30% of electrons in monovalent metals leads to the crystal lattice fracture. The results obtained using the Hellmann–Feynman theorem are directly compared with the data of the jellium model.     

Verification of the Numerical Model in the Problem of Studying Directional Characteristics of Sound Radiation from Inhomogeneous Shells

Results of verifying the levels and directional characteristics of sound radiation are presented for a finite-element numerical model of a submerged inhomogeneous shell. The error in numerical modeling of directional characteristics is determined for sound radiation from shell parts with one-layer (shell–liquid) and multilayer (shell–liquid–shell–liquid) structures.     

Atom–field entanglement at the collapse region

It is shown that the atom–field interaction, in the context of the Jaynes–Cummings model, leads periodically to a Schmidt decomposition of the atom–field state at times within the first collapse region. For some initial average photon number maximally entangled atom–field state are generated.     

An effect of the uniaxial strain on the temperature of Bose–Einstein condensation of the intersite bipolarons

We have studied an effect of uniaxial strain to the temperature of Bose–Einstein condensation of intersite bipolarons within the framework of extended Holstein–Hubbard model. Uniaxial lattice strains are taken into an account by introducing a generalized density–displacement type force for electron–lattice interaction. Associating the superconducting critical temperature T_c with the temperature of Bose–Einstein condensation T_BEC of intersite bipolarons we have calculated strain derivatives of T_BEC and satisfactorily explained the results of the experiments on La-based high-T_c films.     

Different Methods for the Two-Nucleon T-Matrix in the Operator Form

We compare three methods to calculate the nucleon–nucleon t-matrix based on the three-dimensional formulation of Golak et al. (Phys Rev C 81:034006, 2010). In the first place we solve a system of complex linear inhomogeneous equations directly for the t-matrix. Our second method is based on iterations and a variant of the Lanczos algorithm. In the third case we obtain the t-matrix in two steps, solving a system of real linear equations for the k-matrix expansion coefficients and then solving an on-shell equation, which connects the scalar coefficients of the k- and t-matrices. A very good agreement among the three methods is demonstrated for selected nucleon–nucleon scattering observables using a chiral next-to-next-to-leading-order neutron–proton potential. We also apply our three-dimensional framework to the demanding problem of proton–proton scattering, using a corresponding version of the nucleon–nucleon potential and supplementing it with the (screened) Coulomb force, taken also in the three-dimensional form. We show converged results for two different screening functions and find a very good agreement with other methods dealing with proton–proton scattering.