Herein, we have developed a facile and general method for the high-yield fabrication of AgX/Ag(3)PO(4) (X = Cl, Br, I) core-shell heterostructures with an unusual rhombic dodecahedral morphology, which exhibit much higher photocatalytic activities, structural stabilities and photoelectric properties than pure Ag(3)PO(4) crystals in environment and energy applications.

Preenvelopes of acts over a monoid are defined by analogy with Enochs’ definition preenvelopes modules. Provided that it is closed for pure subacts, class shown to be preenveloping precisely when under direct products. Examples such classes include absolutely pure, weakly f-injective and p-injective acts.

We show that in a finitely accessible additive category every class of objects closed under direct limits and pure epimorphic images is covering. In particular, the classes of flat objects in a locally finitely presented additive category and of absolutely pure objects in a locally coherent category are covering.

In the paper, the Scanning Electron Microscopy (SEM) with Energy Dispersive X-ray Spectroscopy (EDS) and X-ray Photoelectron Spectroscopy (XPS) results of the surface layer formed on pure titanium after plasma electrolytic oxidation (micro arc oxidation) at the voltage of 450 V are shown. As an electrolyte, the mixture of copper nitrate Cu(NO₃)₂ (10-600 g/L) in concentrated phosphoric acid H₃PO...

We consider a family of random Schrödinger operators on the discrete strip with decaying $$\ell ^2$$ matrix potential. prove that spectrum is almost surely pure absolutely continuous, apart from random, possibly embedded, eigenvalues which may accumulate at band edges.

dence produced by French observers, that it may be produced in this way in from eight to ten days, but evidence equally strong seems to prove that it may occur epidemically with an absolutely pure watersupply. In the above cases it certainly occurred with a very pure water-supply. The patients affected were all soldiers of the 30th Regiment, then quartered at Ranikhet, of which I was in charge?

Consider a stochastic process {X,},,, where JI is either Iw + = [0, cc) or N (the set of natural numbers). For some compact metric space D, let PO, 8 ED, be a family of probability measures on the trajectory (‘canonical’) space of ( X,},EJ, equipped with the appropriate topology and the corresponding Bore1 u-field. Assume that the ‘true’ probability measure is PO,, for some 19, ED. Pe7-, T E ,I...

A new eulytite-like orthophosphate Pb(3)Bi(PO(4))(3), was synthesized by the high temperature solution growth (HTSG) method and characterized by X-ray single crystal diffraction, powder diffraction and electron microscopy. It crystallizes in the acentric cubic space group (I4[combining macron]3d). The pure-phase powders of Pb(3)Bi(PO(4))(3), Ba(3)La(PO(4))(3) and Ba(3)Bi(PO(4))(3) were also pre...

We analyze the spectrum of the generalized Schrödinger operator in L2(Rν), ν ≥ 2, with a general local, rotationally invariant singular interaction supported by an infinite family of concentric, equidistantly spaced spheres. It is shown that the essential spectrum consists of interlaced segments of the dense point and absolutely continuous character, and that the relation of their lengths at hi...