Widths of the peaks of single-phonon scattering of neutrons by a molecular crystal

Assuming that the molecules are rigid, the width and displacement of a peak for coherent single-phonon scattering of neutrons by an anharmonic molecular crystal is determined.     

Effect of post-annealing in air on optical and XPS spectra of Y2O3 ceramics doped with CeO2

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Triarylantimony Dicaroxylates Ar3Sb[OC(O)R]2 (Ar = Ph,p-Tol; R = 2-C4H3O, 3-C5H4N): Synthesis and Structure

Bis(2-furoinate)triphenyl- and tri-p-tolylantimony and bis(3-niacinate)triphenylanitmony were synthesized by reacting triarylantimony (Ar₃Sb; Ar = Ph, p-Tol) with 2-furancarboxylic and 3-pyridinecarboxylic acids in the presence of hydrogen peroxide. According to X-ray diffraction data, Sb atoms have trigonal bipyramidal coordination polyhedra. The Sb–O distances are 2.117(4), 2.137(4) Å; 2.136(2), 2.158(2) Å, and 2.112(1), 2.101(2) Å, the Sb···O distances are 2.866(4), 2.798(4) Å; 2.816(2), 2.774(2) Å, and 3.054(2), 3.168(2) Å, respectively.     

Influence of halide mixing on thermal and photochemical stability of hybrid perovskites: XPS studies

The effect of I^–/Cl^–and I^–/Br^–mixing on the thermal and photochemical degradation of organometallic perovskite MeNH₃PbI₃ (MAPbI₃) was studied by X-ray photoelectron spectroscopy, which revealed the opportunity to essentially increase the photo and thermal stabilities of the material depending on the level and position of halide-mixing. The largest positive effect was observed for the small concentration of chloride substituent (MAPbI_2.7Cl_0.3), while the full halide substitution (MAPbBr₃) had a negative effect on the stability of hybrid perovskite.     

On radially symmetric solutions of the equation ?Δu + u = |u| p-1 u. An ODE approach

Questions of the existence in a ball of radially symmetric solutions of the equation indicated in the title with the Dirichlet zero boundary conditions are studied in many publications and generally speaking, there was obtained more or less complete answer on these questions. It is known now that if the dimension of the space d????3 and 1 <?p?<?(d?+ 2)/(d ? 2) or if d?=?2 and p?>?1, then for any integer l??? 0 this problem in a ball or in the entire space ${x \in \mathbb {R}^d}$ has a radially symmetric solution with precisely l zeros as a function of r?=?|x|. If d??? 3 and p????(d?+?2)/(d ? 2), then the problem in the entire space has no nontrivial solution. For the first time, this problem was studied by a variant of the variational method. However, it is known to the specialists in the field that it is also interesting to obtain the same results by using methods of the qualitative theory of ODEs. In the present article, we shall give a simple proof of the result above in this way. An earlier proof of this result of the other authors is essentially more complicated than our one.     

Generation of hard x rays by femtosecond laser pulse interaction with solid targets in atmosphere

X ray radiation as high as 50 keV, including K(α) of Ba and Mo, have been observed from a solid target during the interaction of low energy ~0.65 mJ, 1 kHz 40 femtosecond laser pulses focused in air at atmospheric pressure. Energetic electrons generating such x rays are possibly produced when the field strength in laser pulse wake exceeds the runaway threshold in air. Two dimensional particle-in-cell simulations that include optical field ionization of air and elastic collisions support this mechanism.