On Einstein Matsumoto metrics

Einstein metrics are solutions to Einstein field equation in General Relativity containing the Ricci-flat metrics. Einstein Finsler metrics which represent a non-Riemannian stage for the extensions of metric gravity, provide an interesting source of geometric issues and the (α,β)-metric is an important class of Finsler metrics appearing iteratively in physical studies. It is proved that every n-dimensional (n≥3) Einstein Matsumoto metric is a Ricci-flat metric with vanishing S-curvature. The main result can be regarded as a second Schur type Lemma for Matsumoto metrics.     

Electronic structure and nonlinear optical properties of a two-dimensional hexagonal quantum dot

In this work electronic structure, the linear and the third-order nonlinear refractive index changes as well as optical absorption coefficients of a two-dimensional hexagonal quantum dot are investigated. Energy eigenvalues and eigenfunctions of the system are calculated by the matrix diagonalization technique, and optical properties are also obtained using the compact density matrix approach. As our results indicate, both the dot size and the confinement potential have a great influence on the intersubband energy intervals, the transition probability and consequently, the linear and the third-order nonlinear refractive index changes and optical absorption coefficients.     

Infrared spectra of acetylene–water complexes: C2D2–H2O,C2D2–HDO,and C2D2–D2O

Infrared spectra of C₂D₂–water complexes are studied in the 4.1 μm region of the C₂D₂ ν₃ fundamental band using a tunable diode laser source to probe a pulsed supersonic slit jet. Relatively large vibrational red shifts (?27.7 to ?28.0 cm^?1) are observed which are more easily interpretable than for the analogous C₂H₂ vibration thanks to the absence of Fermi resonance effects for C₂D₂. Noticeable homogeneous line broadening leads to estimates of upper state predissociation lifetimes of about 0.5, 0.9 and 1.1 ns for C₂D₂–H₂O, –HDO, and –D₂O, respectively. Transitions involving K_a = 0 and 1 levels are observed for C₂D₂–HDO, but there is a puzzling absence of K_a = 1 for C₂D₂–H₂O and C₂D₂–D₂O.     

Tuning of full band gap in anisotropic photonic crystal slabs using a liquid crystal

We analyze the tunability of full band gap in photonic crystal slabs created by square and triangular lattices of air holes in anisotropic tellurium background, considering that the regions above and below the slab are occupied by SiO₂ and the holes are infiltrated with liquid crystals. Using the supercell method based on plane wave expansion, we study the variation of full band gap by changing the optical axis orientation of liquid crystal. Our results demonstrate the existence and remarkable tunability of full band gap in both square and triangular lattices, largest band gap and tunability being obtained for the triangular lattice.     

Multiwall carbon nanotubes decorated with FeCr2O4, a new selective electrochemical sensor for amoxicillin determination

Direct writing aims to deposit materials onto substrates in localised positions. In this paper, we demonstrate a new method for direct writing of nanoparticles at ambient-air-pressure. An electrical discharge is used to generate gold nanoparticles of the order of 10?nm diameter, which are then transported and ??focused?? by an electric field in air, through the process of electric field-assisted diffusion, as opposed to normal ballistic focusing since the mean free path in air is very short. This process is novel and allows for practical normal atmospheric-pressure focused deposition of nanoparticles. The focusing mechanism is capable of producing patterned arrays of deposited nanoparticles with widths that are less than 10?% of the diameter of the focusing apparatus; in the present experimental configuration, gold spots with diameters of a few tens of micrometres were achieved, with ultimate size being limited by transverse diffusion and by charged particle mutual repulsion. In this study, the process of generating nanoparticles from bulk material, transporting and focusing these particles takes place in one operation, which is a key advantage in rapid prototyping and manufacturing techniques.     

Green synthesis of Zn nanoparticles and in situ hybridized with BSA nanoparticles for Baicalein targeted delivery mediated with glutamate receptors to U87-MG cancer cell lines

Glioblastoma multiforme (GBM) is the most aggressive malignant tumor of the brain. It has different glutamate receptor types. So, these receptors can be a suitable target for GBM treatment. The current study investigated the anticancer effects of bovine serum albumin (BSA)-Baicalein @Zn-Glu nanostructure mediated-GluRs in human glioblastoma U87 cells. BSA-Ba@Zn-Glu hybrid nanoparticles (NPs) were set and considered transporters for Baicalein (Ba) active compound delivery. BSA-Ba@Zn-Glu NPs were synthesized by a single-step reduction process. The successful production was confirmed through transmission electron microscopy (TEM), dynamic light scattering (DLS), Fourier transform infrared spectroscopy (FT-IR), and hemolysis test. The cytotoxic efficacy and apoptosis rate of the nanostructures on U87 glioblastoma cells were investigated by 3-(4,5-dimethylthialzol-a-yl)-2,5 diphenyltetrazolium bromide (MTT) and flow cytometry assays, respectively. The synthesized BSA-Ba@Zn-Glu nanostructures with a diameter of 142.40 ± 1.91 to 177.10 ± 1.87 nm and zeta potential of −10.57 ± 0.71 to −35.77 ± 0.60 mV are suitable for extravasation into tumor cells. The drug release from the BSA-Ba@Zn NPs showed controlled and pH-dependent behavior. In vitro results indicated that the BSA-Ba@Zn-Glu NPs significantly reduce cell viability and promote apoptosis of U87 cancer cells. It revealed the cytotoxic effect of the Baicalein and an increase in cellular uptake of nanoparticles by Glu receptors. Zn NPs were synthesized based on a green synthesis method. BSA NPs were used as a nano-platform for Glu conjugation and Ba drug delivery. BSA-Ba@Zn-Glu NPs induce cytotoxicity and apoptosis in human brain cancer cells (U87) in a dose-dependent manner. Finally, this nanostructure could be served in targeted drug delivery in vivo studies and applied along with other strategies such as X-ray irradiation as combinational therapies in future studies.