Evolutors and Invariance

This paper concerns invariance of multifunctions under evolutors and its characterization through tangency of evolutors to multifunctions. The theory is illustrated by its applications to identity evolutors and to evolutors generated by semilinear perturbed equations.     

Dual‐emissive polydiphenylsilane nanocomposite: effect of N,N′‐bis(4‐hydroxysalicylidene)‐1,2‐phenylenediamine‐Zn complex

The fluorescence properties of polysilane can be strongly influenced by creating new excited states that involve electronic transitions and the relaxation to the ground state. This work presents the optical effects obtained by doping a specially designed polydiphenylsilane copolymer with Zn complex of N,N′‐bis(4‐hydroxysalicylidene)‐1,2‐phenylenediamine. The nanocomposites have been prepared in solution by mixing the polymer with low amounts of Zn–salophen and using tetrahydrofuran as solvent. The ultraviolet–visible spectrum has shown the occurrence of an intermolecular charge transfer between polysilane and the metal complex. Photoluminescence studies have revealed an interesting dual emission profile of nanocomposite. The origin of this phenomenon has been evidenced by molecular modeling and simulation of the electronic transitions. The modeling results have unveiled a new low‐lying excited state due to intermolecular interactions. The thin films of nanocomposites have been drop‐casted from solutions. The obtained films have been studied by Transmission Electron Microscopy (TEM)‐Scanning Transmission Electron Microscopy (STEM)‐Energy Dispersive X‐ray analysis (EDX) to gain information on the film‐forming capacity and surface morphology. The results have revealed a high potential of such materials for fluorescence sensing applications. Copyright © 2015 John Wiley & Sons, Ltd.     

The relativistic magnetohydrodynamics of an accelerating plasma

In analog to the Irvine's tetrads of a rotating reference system, a tetrad field associated with a medium experiencing a linear acceleration is derived. This is used for a tetrad formulation of relativistic equations of a system composed of an accelerating plasma coupled to a frozen-in magnetic field. It is found that the magnetic and hydrodynamic variables are independent of the time in comoving coordinates, and it is shown that a steady flow with constant values of the unperturbed quantities is not possible. Some relativistic barometric formulas for magnetohydrodynamic systems which are not in thermodynamic equilibrium are obtained.     

Elemental assay of materials by NA and gamma-ray spectroscopy without standards and neutron flux monitoring

The theoretical expression of the induced radioactivity of a nuclide activated by neutron reactions is basically used to develop a mathematical model and an accurate method of evaluating concentrations of elements producing -ray emitting isotopes, without use of standards and of neutron flux monitoring. This initial Without Standard method is mainly applicable to materials obtained by special or industrial technologies, when precise values of the elemental concentrations, after the synthesis process, are required. A preliminary test of the method, using a Goodfellow Metals stainless steel material irradiated in a thermal neutron field is reported. The results confirm the applicability of the Without Standard method to the NAA experiments for the elemental analysis of materials.Presented at the MTAA-8 Conference, September 16–20, 1991, Vienna, Austria.     

Superabsorbant hydrogels based on xanthan and poly(vinyl alcohol): 1. The study of the swelling properties

The swelling properties of some superabsorbant composite hydrogels, based on xanthan and poly(vinyl alcohol) and crosslinked with epichlorohydrin, were studied. The maximum swelling degree of the hydrogels and the swelling rate constant were determined as a function of the hydrogel's composition (the % of poly(vinyl alcohol) in the polymer mixture and the amount of crosslinking agent), the crosslinking reaction conditions (the time and the temperature of the crosslinking reaction), and the composition of the swelling solutions (the glycerin/water ratio and the concentration of the electrolyte).     

Dilute solution properties of poly(styrene acrylonitrile) alternating copolymer

Kuhn-Mark-Houwink-Sakurada relations were obtained in methyl ethyl ketone N,N-di-methylformamide and dichlorethane at 30 for (styrene acrylonitrile) alternating copolymer. The values of the unperturbed dimensions. [K₀ or (r_o^?2/M)^1/2] and conformational parameter σ have been determined, using several graphical and semiempirical methods, and the results were compared with the direct determinations in a θ solvent. The best values for K_θ were obtained using the methods of Stockmayer-Fixman and Inagaki-Suzuki-Kurata. By comparing the values of σ for polystyrene, polyacrylonitrile, random and alternating (styrene-acrylonitrile) copolymers, it is to be concluded that the short-range interactions do not markedly influence the chain dimensions in solutions for random and alternating (styrene-acrylonitrile) copolymers.     

Kinetics of thermal degradation in non-isothermal conditions of some phosphorus-containing polyesters and polyesterimides

The thermal decomposition behavior of some phosphorus-containing polyesters and a polyesterimide was studied using thermogravimetric analysis in air at several heating rates between 5 °C/min and 20 °C/min. The results of this study, realized for polymers with phosphorus linkage as pendant group, were compared with the behavior of some polymers having the same backbone structure, with phosphorus in the main chain, respectively, without phosphorus. The kinetic processing of data was carried out using the Coats-Redfern, Reich-Levi, Flynn-Wall-Ozawa and Kissinger methods.     

A local version of the closed graph lemma of Kelley

The paper concerns the local, metric version of a closed graph result of Kelley.     

Photophysical Properties of some 1,3,4-Oxadiazole Derivatives Containing Phenolphtalein,Fluorene and Bisphenol A Units

The photophysical properties of the three 1,3,4-oxadiazole derivatives containing fluorene (Ox-FL); fluorene and phenolphtaleine (Ox-FL-FF); or fluorene and bisphenol A (Ox-FL-BPA) moieties in the main chain were investigated by the fluorescence and absorption spectroscopy in different solvents and in the solid state. The electronic absorption spectra included a strong absorption band located in the 270–395 nm region, with a maxima around at 302 nm. The fluorescence excitation spectra were also characterized by one broad band, appearing in the wavelength range of 220–340 nm. All samples displayed the emission bands around 356–373 nm and exhibit high quantum yields ranged from 31.61 to 90.77%, in chloroform solution. The sensitivity of the emission spectra on medium characteristics (polarity, acidity and basicity) were evaluated by using the Catalan solvent scale and the fluorescence titration with a dilute acid solution.     

Polymerization of 2‐(hydroxyethyl)methacrylate by two different initiator/accelerator systems: a Raman spectroscopic monitoring

The control of monomer polymerization is important when preparing biocompatible devices. The compound 2‐(hydroxyethyl)methacrylate can be polymerized by redox systems using benzoyl peroxide (BPO) (as accelerator) and a substituted amine (as initiator). However, this system is associated with a highly exothermic polymerization, and end‐products with inflammatory properties are produced. We have used ascorbic acid (AA) to induce BPO fragmentation and have compared the kinetics of the reaction, by Raman microscopy, with that obtained with a substituted amine. The breaking of the C bond (Raman stretching vibration at 1641 cm⁻¹) could be monitored in both cases and reflected the incorporation of new monomer molecules into the chain. The AA‐induced polymerization was slower than with the substituted amine and was accompanied by the appearance of a new band at 1603 cm⁻¹, assigned to the stretching vibrations of  COOH species incorporated into the chains. Raman microscopy appears to be a powerful tool in the study of polymeric biomaterial preparation. Copyright © 2008 John Wiley & Sons, Ltd.