Characterization of Translation Planes by Orbit Lengths

The Desarguesian, Hall, and Hering translation planes of order q² are characterized as exactly those translation planes of odd order with spreads in PG (3,q) that admit a linear collineation group with infinite orbits one of length q+1 and i of length (q-q) /i for i=1 or 2.     

Study of Anticancer Properties of Graphene Oxide–Metal Oxide Composite

Graphene and graphene oxide (GO) have garnered significant attention due to their exceptional properties. GO, enriched with various functional groups such as epoxy, hydroxyl, and carboxylic groups, has exhibited remarkable potential in biomedical applications. The combination of GO with metals has proven to be a promising platform for cellular imaging, with this study focusing on the preparation of diverse hybrids of GO with metal oxides (GO/MO) and their potential as anticancer agents. In this research, GO is functionalized with MOs like TiO₂, Fe₃O₄, and Cu₂O using specific chemical methods and investigated for the anticancer activity for the application as cancer therapeutic agent. The resulting GO/MO hybrids exhibits favorable thermal and mechanical properties. Moreover, their cytotoxicity against human lung cancer cells is assessed in vitro, revealing the promising anticancer activity of GO/MO hybrids. Notably, the GO/Cu₂O hybrid demonstrates particularly high cytotoxicity in human lung cancer cells.     

Study of size-dependent glass transition and Kauzmann temperature of titanium dioxide nanoparticles

In this article, we have studied the size effect on glass transition and Kauzmann temperature of spherical TiO₂ nanoparticles using Arrhenius relation and Lindemann’s criteria under their dynamic limit. The melting point of nanoparticles decreases with decrease in size of the nanoparticles. The glass transition temperature and Kauzmann temperature are analyzed through the size effect on the melting temperature. The glass transition and Kauzmann temperatures decrease with the decrease in size of TiO₂ nanoparticles.     

Photoluminescence and Raman scattering of silicon nanopowders

Nanopowders obtained by evaporating silicon ingots with a powerful electron beam having an electron energy of 1.4 MeV in an Ar atmosphere are investigated. The nanopowders are studied by means of photoluminescence (PL) and Raman scattering (RS) spectroscopy. In simulating the PL spectra, the recombination energy dependences for the nanocrystals were found to be almost equal in vacuum and in silicon dioxide cores, allowing us to determine the average particle radius, which coincided with estimates obtained by analyzing the Raman spectra using an improved model of phonon localization that considers phonon dispersion in terms of quasi-momentum and direction.     

A new route to the versatile synthesis of thiopyrano[2,3-b:6,5-b′]diindoles via 2-(alkylthio)-indole-3-carbaldehydes

A versatile synthesis of symmetrically and unsymmetrically substituted thiopyrano[2,3-b:6,5-b′]diindoles has been developed by the condensation of 2-(alkylthio)-indole-3-carbaldehydes with indoline-2-thiones in the presence of catalytic amount of ethylenediamine diacetate (EDDA). The EDDA mediated condensation leads to a spontaneous cyclization followed by aromatization to form thiopyrano[2,3-b:6,5-b′]diindoles in quantitative yields.