Effect of optical blooming of a nanocrystal monolayer and the interface between two media

It is shown that several parameters of the near-field interaction of particles effectively control the reflectance of the interface between vacuum and a semi-infinite medium in a structured monolayer of nanoparticles, changing it from 0 to 1. The formulas derived for the electric field amplitudes inside and outside the nanostructural layer take into account the periodic arrangement of nanoparticles. The ideal blooming condition of the boundary of the underlying medium is derived, under which the reflectance of the interface tends to zero in a wide range of wavelengths in the visible optical range.     

Differential equations uniquely determined by algebras of point symmetries

We continue to investigate strongly and weakly Lie remarkable equations, which we defined in a recent paper. We consider some relevant algebras of vector fields on ℝ^k (such as the isometric, affine, projective, or conformal algebras) and characterize strongly Lie remarkable equations admitted by the considered Lie algebras. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 3, pp. 486–494, June, 2007.     

On <Emphasis Type="Italic">W</Emphasis>-geometry of Toda systems

We describe W-geometry of two-dimensional Toda systems associated with the Lie algebra C _n . __________ Translated from Fundamental’naya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 11, No. 1, Geometry, 2005.     

On the role of mechanical effects during dynamic fatigue of PbTiO3 single crystals

The details of the mechanical effects (twinning and microcracking) are clarified at various stages of dynamic fatigue of PbTiO₃ crystals using a polarization microscope and selective etching.     

The role of readily hydrolyzable polysaccharides of larch wood in manufacture of board materials

Role of readily hydrolyzable polysaccharides of larch wood in production of board materials is studied.     

Preparation and mechanical properties of layers made of recombinant spider silk proteins and silk from silk worm

Layers of recombinant spider silks and native silks from silk worms were prepared by spin-coating and casting of various solutions. FT-IR spectra were recorded to investigate the influence of the different mechanical stress occurring during the preparation of the silk layers. The solubility of the recombinant spider silk proteins SO1-ELP, C16, AQ24NR3, and of the silk fibroin from Bombyx mori were investigated in hexafluorisopropanol, ionic liquids and concentrated salt solutions. The morphology and thickness of the layers were determined by Atomic Force Microscopy (AFM) or with a profilometer. The mechanical behaviour was investigated by acoustic impedance analysis by using a quartz crystal microbalance (QCMB) as well as by microindentation. The density of silk layers (d<300 nm) was determined based on AFM and QCMB measurements. At silk layers thicker than 300 nm significant changes of the half-band-half width can be correlated with increasing energy dissipation. Microhardness measurements demonstrate that recombinant spider silk and sericine-free Bombyx mori silk layers achieve higher elastic penetration modules E_EP and Martens hardness values H_M than those of polyethylenterephthalate (PET) and polyetherimide (PEI) foils.