Interpolating functions

Let X,Y be sets with quasiproximities X_? and Y_? (where A?B is interpreted as “B is a neighborhood of A”). Let f,g:X→Y be a pair of functions such that whenever CY_?D, then f−1[C]X_?g−1[D]. We show that there is then a function h:X→Y such that whenever CY_?D, then f−1[C]X_?h−1[D], h−1[C]X_?h−1[D] and h−1[C]X_?g−1[D]. Since any function h that satisfies h−1[C]X_?h−1[D] whenever CY_?D, is continuous, many classical “sandwich” or “insertion” theorems are corollaries of this result. The paper is written to emphasize the strong similarities between several concepts

•

the posets with auxiliary relations studied in domain theory;

•

quasiproximities and their simplification, Urysohn relations; and

•

the axioms assumed by Katětov and by Lane to originally show some of these results.

Interpolation results are obtained for continuous posets and Scott domains. We also show that (bi-)topological notions such as normality are captured by these order theoretical ideas.     

Polaronic transport in TiO2 thin films with increasing Nb content

The temperature dependence of the charge transport in TiO₂ films was investigated to establish the correlation between the Nb content and electrical properties. It was identified that temperature-dependent conductivity of the films is dominated by a phonon-assisted small polaron hopping model in the non-adiabatic regime. Applying the polaron hopping models of Mott, Schnakenberg and Emin to describe the observed behavior, temperature-dependent conductivity data of the films were analyzed. A detailed analysis in terms of small polaron hopping parameters in the investigated temperature regime was used to correlate electrical properties with the percentage of Nb.     

Comparative study of liquid-crystalline ordering in a monomer,linear polymer,and graft copolymer by the photon transmission technique

The photon transmission technique was used to study the phase transitions of a liquid crystalline acrylate monomer, 6-(4-cyanobiphenyl-4′oxy)hexyl acrylate (LC6), its homopolymer (PLC6) and its graft copolymer (GLC6) with polytetrahydrofuran grafts. The phase transitions were also confirmed by DSC and polarizing microscopy. We observed the phase transition sequence isotropic–nematic–smectic A–smectic C in the LC6 monomer. In PLC6 and GLC6 polymers, the nematic and smectic A phases appear dominant. The apparent nematic–smectic A transition is of first order in PLC6 and of second order in GLC6, with the transition temperature remaining the same. The effects of quenched random constraints introduced in GLC6 are consistent with the theory of quenched random interactions. The critical exponents were also evaluated.     

Antioxidant and DNA damage protecting activities of newly synthesized thiol bridged bis-benzimidazole derivative and its dicationic analogue

Two new types of bis-benzimidazole derivatives containing thiol group have been prepared and characterized. The compounds contain sulfur with imidazole ring show promising biological activities such as antioxidant, anticancer, antimicrobial and etc. The aim of this study was synthesis of benzimidazole derivatives which not only show antioxidant activity but also protect DNA from oxidative damage. Antioxidant activities of the synthesized compounds were investigated with DPPH and hydrogen peroxide radical scavenging assays. DNA nicking assay was applied to establish activity of compounds to protect plasmid DNA from Fenton's reagent radicals. Both compounds had antioxidant activity, however, activity of dicationic analogue was greater than well-known antioxidant Vit C. IC₅₀ values calculated according to DPPH method were 14.5 μM for dicationic analogue ( 2 ) and 57.5 μM for 1,2-bis(1-methyl-1H-benzo[d]imidazol-2-ylthio)ethane ( 1 ). In hydrogen peroxide scavenge assay IC₅₀ values of compounds were 638.6 μg/mL for 1,2-bis(1-methyl-1H-benzo[d]imidazol-2-ylthio)ethane ( 1 ), 398.9 μg/mL for dicationic analogue ( 2 ). Furthermore, dicationic analogue promised an effective DNA protection due to its positive charge interacting with negatively charged DNA. Also the high solubility of the dicationic analogue in water due to its positive charge could provide a great advantage in biological applications.     

The effect of normal electric field on the evolution of immiscible Rayleigh-Taylor instability

Manipulation of the Rayleigh-Taylor instability using an external electric field has been the subject of many studies. However, most of these studies are focused on early stages of the evolution. In this work, the long-term evolution of the instability is investigated, focusing on the forces acting on the interface between the two fluids. To this end, numerical simulations are carried out at various electric permittivity and conductivity ratios as well as electric field intensities using Smoothed Particle Hydrodynamics method. The electric field is applied in parallel to gravity to maintain unstable evolution. The results show that increasing top-to-bottom permittivity ratio increases the rising velocity of the bubble while hindering the spike descent. The opposite trend is observed for increasing top-to-bottom conductivity ratio. These effects are amplified at larger electric field intensities, resulting in narrower structures as the response to the excitation is non-uniform along the interface.     

A DFT‐based mechanistic study on the formation of oximes

Oxime chemistry has been proven to be a reliable bioconjugation method for biomedical applications. Because of its stable and bio‐orthogonal nature, a number of materials have been devised for in vitro and in vivo applications such as drug delivery, imaging, and biochemical assays. Polymers, synthetic molecules, nanoparticles, and biomolecules carrying alkoxyamine and aldehyde/ketone functional groups could be linked to each other through oxime bond, and a variety of modular platforms could be produced. Formation of oximes is catalyzed in acidic medium, and the proposed reaction mechanism follows classical imine formation pathways. Aniline has been found to accelerate the rate of oxime formation several orders of magnitude. In this computational study, we analyzed the proposed mechanism on model systems using DFT calculations including a solvation model. The energetics of the reaction steps in neutral and acidic conditions as well as in the presence of aniline was performed. Explicit water molecules were included in the calculations to study the energetics of solvent assisted proton transfer steps.     

Finite temperature corrections to fleid theory: Electron mass and magnetic moment,and vacuum energy

A finite temperature formalism which maintains Lorentz covariance is rederived and compared to other approaches. It is used to obtain the order-α temperature shifts in the electron mass and magnetic moment, vacuum energy. The mass and magnetic moment shifts, for kT ? m, are of order $\text{α(}\text{kT}\text{m}\text{)}{}^2$ and hence beyond the present experimental observation limits. An explicit form for the general temperature mass shift is obtained.     

Magnetic field effects on slab surface plasmons in the local limit

The local surface plasmon dispersion relation for a slab of plasma in a magnetic field (perpendicular to the slab faces) is analyzed. Magnetic field modifications of both antisymmetric and symmetric slab surface plasmon modes are determined in the local limit.     

Reductive Cleavage of Carbon Monoxide by a Disilenide

The complete reductive cleavage of the triple bond in carbon monoxide was achieved using a lithium disilenide at room temperature. The C? C‐coupled product can be regarded as a silanone dimer with pending alkyne and silirene moieties and incorporates two equivalents of CO per disilenide unit. A formation mechanism via ketenyl intermediates is proposed on the basis of DFT calculations and elucidated experimentally by employing Group 6 metal carbonyls as both stabilizing entity and source of CO in the reaction with disilenide. The isolation of cyclic silylene complexes with weakly donating ketenyl donor groups further supports the mechanistic scenario.     

Spin-flop and spin-Peierls transition in doped CuGeO3

Ni⁺⁺ ions doped inorganic CuGeO₃ sample has been studied by using electron spin resonance (ESR) technique in the temperature range of 3–300 K. The ESR spectrum of Cu⁺⁺ ion has been observed to be strongly temperature dependent for inorganic spin-Peierls (SP) Cu_0.96Ni_0.04GeO₃ samples. The ESR line width and ESR amplitude exponentially vanishes below a critical temperature, T_sp = 14 K. The one-dimensional (1D) antiferromagnetic (AF) spin chain formed of Cu⁺⁺ is broken by Ni⁺⁺ (spin-1) ion, giving uncoupled spins at the end of the chains that give extra contribution to the spectra at lower temperature and stabilizes a Néel state. The g-factor is much smaller than the expected value for isolated Cu⁺⁺ and Ni⁺⁺ ions and is much more anisotropic than for undoped samples [O. Yalçın, B. Aktaş, J. Magn. Magn. Mater. 258/259 (2003) 137 (reference therein)]. It is shown that the ground state of dimerized spins is singlet. The spin-flop (SF) phenomenon is obtained from AF state mixed condition and then ferromagnetic (FM) state. The spin-flop field slightly increases when increasing temperature in the temperature range 100–300 K. The SF transition is showed almost AF order for Cu_0.96Ni_0.04GeO₃.