This article addresses the problem of boundary correspondence for a sequence of homeomorphisms that change the capacity of a condenser in a controlled way. To study the overall boundary behavior of ...these mappings, we introduce some capacity metrics in a sequence of domains with nondegenerate core. Completions with respect to these metrics add to the domains new points called boundary elements. As one of the consequences, we obtain not only sufficient conditions for the global uniform convergence of a sequence of homeomorphisms, but some applications to elasticity theory as well.
We demonstrate the fabrication of self-aligned laser-reduced graphene oxide patterns with a spatial resolution/laser spot size ratio of 1/10, lower than anything reported before using ...laser-reduction. Laser light modifies graphene oxide (GO) by removing the oxygen-containing groups turning GO into a more graphene-like nanomaterial. Our method is based on high laser power density used for the reduction of GO that results in ablation of the GO film. This enabled us to remove the laser spot illuminated area while inducing the selective graphene oxide reduction at the periphery of the laser spot achieving resistivity of 1.6·10−5 Ω m, as low as values previously reported for other rGO. Therefore, we can exploit laser-induced reduction at high laser power density to pattern GO films with conductive dimensions that are a fraction of the laser spot size. This innovative method is scalable, inexpensive, and straightforward, allowing conductive circuits on arbitrary, flexible, and transparent substrates for applications in lightweight electronics and wearables.
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•Graphene oxide (GO) and reduced GO (rGO) are two promising materials for carbon-based electronics.•Conductive rGO wires are obtained at the edges of the ablated area in a single-pass by laser patterning.•The parallel conducting rGO lines have dimensions as small as 1:10 the laser spot size.•The low resistivity of rGO patterns 1.6·10−5 Ω m is comparable to values previously reported using other methods.
Calsyntenin-2 (Clstn2) is the synaptic protein that belongs to the super family of cadherins, playing an important role in learning and memory. We recently reported that Clstn2 knockout mice ...(Clstn2-KO) have a deficit of GABAergic interneurons coupled with hyperactivity and deficient spatial memory. Given, that impaired functioning of GABA receptors is linked to several psychopathologies, including anxiety and autism, we sought to further characterize Clstn2-KO mice with respect to emotional and social behavior. Clstn2-KO males and females were tested in the elevated plus-maze (EPM), open field (OF), forced swim test, social affiliation and recognition test, social transmission of food preference (STFP), dyadic social interactions and marble burying test. Clstn2-KO mice demonstrated high exploration and hyperactivity in the dimly lit EPM that affect anxiety parameters. In contrast, in a more adverse situation in the OF have increased emotionality in Clstn2-KO males, not females. Assessment of hyperactivity for prolong period in the OF showed that Clstn2-KO animals were able to decline their hyperactivity, but their ambulation still remained higher than in WT littermates. Additionally, Clstn2-KO mice expressed stereotyped behavior. Strikingly, analysis of social behavior identified deficient social motivation and social recognition only in Clstn2-KO males, but not in females. Further analysis of social communication in the STFP and direct observation of agonistic interactions confirmed the reduced social behavior in Clstn2-KO males. Altogether, current results showed Clstn2 gene and sex interactions on socio-emotional performance in mice, suggesting a possible role of calsyntenin2 in psychopathological mechanisms of autism.
This work represents the results of phase composition and the mechanical properties of tungsten and titanium after high-intensity pulsed ion beam (HPIB) treatment. It was shown that nanoscale carbide ...particles are formed under the HPIB influence in the surface layers of metals. Raising the pulse number results in increase of volume fraction of the carbide phases. The microhardness is 1.5-2 times more than the initial value and wear resistance of the metals improves in response to alloying of tungsten and titanium with carbon atoms accompanied by the formation of carbides.
A comparative analysis of the electronic structure obtained in the DFT/LDA and LDA + DMFT approaches of the possible isostructural analogues of iron superconductors InCo
2
As
2
and KInCo
4
As
4
with ...the electronic structure of the parent high-temperature superconductor system BaFe
2
As
2
is carried out. It is established that in spite of the rather large value of the electron-electron correlations (local Coulomb interaction on the Co-
shell
eV, the Hund exchange interaction
eV), in the considered systems a relatively small quasiparticle mass renormalization 1.2–1.35 at the Fermi level is observed. The correlation effects lead to the remarkable shift and compression of the spectrum below –0.8 eV. The band structure of InCo
2
As
2
near the Fermi level is qualitatively similar to the previously studied BaCo
2
As
2
, and differs significantly from the band structure of BaFe
2
As
2
. In the KInCo
4
As
4
system, the bands near the Fermi level resemble the band structure of BaFe
2
As
2
, and the Fermi surfaces have a similar topology. This indirectly points to the possibility of superconductivity in KInCo
4
As
4
. Also according to the results of LDA + DMFT calculations it is seen that with a rather small hole or electron doping in the KInCo
4
As
4
system will experience topological Lifshitz transitions. We believe that the synthesis of the InCo
2
As
2
and KInCo
4
As
4
compounds considered in this paper is important for the study of superconductivity in this class of materials.
Recently it was claimed that nitrogen-doped lutetium hydride exhibited a near-ambient superconducting transition with a temperature of 294 K at a pressure of only 10 kbar, this pressure being several ...orders of magnitude lower than previously demonstrated for hydrides under pressure. In this paper, we investigate within DFT + U the electronic structure of both parent lutetium hydride LuH
3
and nitrogen doped lutetium hydride LuH
2.75
N
0.25
. We calculated corresponding bands, density of states and Fermi surfaces with and without spin-orbit coupling (SOC). It is shown that in the stoichiometric system the Lu-5
states cross the Fermi level while the H-
states make almost no contribution at the Fermi level. However, with nitrogen doping, the N‑
states enter the Fermi level in large quantities and bring together a significant contribution from the H‑
states. The presence of N-
and H-
states at the Fermi level in a doped compound can facilitate the emergence of superconductivity. Surprisingly, SOC splits quite significantly (0.1–0.25 eV) nitrogen bands in LuH
2.75
N
0.25
just below the Fermi level. For instance, nitrogen doping almost doubles the value of DOS at the Fermi level. Simple BCS analysis shows that the nitrogen doping of LuH
3
can provide
more than 100 K and even increase it with further hole doping.
Mars Science Laboratory's Sample Analysis at Mars (SAM) investigation has measured all of the stable isotopes of the heavy noble gases krypton and xenon in the martian atmosphere, in situ, from the ...Curiosity Rover at Gale Crater, Mars. Previous knowledge of martian atmospheric krypton and xenon isotope ratios has been based upon a combination of the Viking mission's krypton and xenon detections and measurements of noble gas isotope ratios in martian meteorites. However, the meteorite measurements reveal an impure mixture of atmospheric, mantle, and spallation contributions. The xenon and krypton isotopic measurements reported here include the complete set of stable isotopes, unmeasured by Viking. The new results generally agree with Mars meteorite measurements but also provide a unique opportunity to identify various non-atmospheric heavy noble gas components in the meteorites. Kr isotopic measurements define a solar-like atmospheric composition, but deviating from the solar wind pattern at 80Kr and 82Kr in a manner consistent with contributions originating from neutron capture in Br. The Xe measurements suggest an intriguing possibility that isotopes lighter than 132Xe have been enriched to varying degrees by spallation and neutron capture products degassed to the atmosphere from the regolith, and a model is constructed to explore this possibility. Such a spallation component, however, is not apparent in atmospheric Xe trapped in the glassy phases of martian meteorites.
•In situ measurement of all stable isotopes of Kr and Xe in the atmosphere of Mars.•A new benchmark for untangling the sources of Kr and Xe in SNC meteorites.•Light isotope enrichments indicate neutron-capture contributions to atmospheric Kr.•Xe isotopic elevations suggest presence of spallation and neutron-capture products.
Laboratory spectroscopy of atomic hydrogen in a magnetic flux density of 10(5) T (1 gigagauss), the maximum observed on high-field magnetic white dwarfs, is impossible because practically available ...fields are about a thousand times less. In this regime, the cyclotron and binding energies become equal. Here we demonstrate Lyman series spectra for phosphorus impurities in silicon up to the equivalent field, which is scaled to 32.8 T by the effective mass and dielectric constant. The spectra reproduce the high-field theory for free hydrogen, with quadratic Zeeman splitting and strong mixing of spherical harmonics. They show the way for experiments on He and H(2) analogues, and for investigation of He(2), a bound molecule predicted under extreme field conditions.
We have performed high field magnetoabsorption spectroscopy on silicon doped with a variety of single and double donor species. The magnetic field provides access to an experimental magnetic length, ...and the quadratic Zeeman effect, in particular, may be used to extract the wave-function radius without reliance on previously determined effective mass parameters. We were, therefore, able to determine the limits of validity for the standard one-band anisotropic effective mass model. We also provide improved parameters and use them for an independent check on the accuracy of effective mass theory. Finally, we show that the optically accessible excited-state wave functions have the attractive property that interactions with neighbors are far more forgiving of position errors than (say) the ground state.
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