Structural and mechanical properties of La_(1/3)NbO_3 and La_(1/3)TaO_3 thin films prepared by chemical solution deposition

In this work, properties of perovskite lanthanum niobate La1/3NbO3(LN) and tantalate La1/3TaO3(LT)transparent thin films(200 nm thickness) prepared by chemical solution deposition on Pt/SiO2/Si substrates were described. The precursors and films were analyzed using FTIR and XPS spectra, XRD and SEM imaging. The both films after annealing at 1100 ℃ contained perovskite phase with a small fraction of pyrochlore LaNb5O14(in LN). The heterogeneous micro structure of LN film was composed from spherical or needle-like particles and homogeneous LT film that resulted in significant changes of their mechanical properties. The elastic modulus and hardness of these films were characterized for the first time by conventional and continuous stiffness(CSM) nanoindentation. The LT film modulus(E) and hardness(H) were higher(105.7 and 5.3 GPa) than LN(91.5 and 3.8 GPa). The effect of microstructure on mechanical properties is significant. In addition, the average Derjaguin-Muller-Toporov(DMT)-based elastic modulus of LN film surface were estimated50 GPa using AFM PeakForce QNM elastic mapping. The findings presented here can contribute to the fabrication of LN and LT films for the application to electrolytic thin film devices.

Fractional Bateman–Feshbach Tikochinsky Oscillator

In the last few years the numerical methods for solving the fractional differential equations started to be applied intensively to real world phenomena. Having these things in mind in this manuscript we focus on the fractional Lagrangian and Harniltonian of the complex Bateman-Feshbach Tikochinsky oscillator. The numerical analysis of the corresponding fractionaJ Euler-Lagrange equations is given within the Griinwald-Letnikov approach, which is power series expansion of the generating function.

Basic theorem as representation of heterogeneous concept lattices

We propose a method for representing heteroge- neous concept lattices as classical concept lattices. Particu- larly, we describe a transformation of heterogeneous formal context into a binary one, such that corresponding concept lattices will be isomorphic. We prove the correctness of this transformation by the basic theorem for heterogeneous as well as classical concept lattices.