单位球上Bergman空间上的紧算子

当S满足一些可积条件时,我们证明了Lap(B)(p>1)上的有界算子S是紧的当且仅当S的Berezin变换在单位球B的边界趋近于零.     

Enhanced sunlight-driven photocatalytic performance of Bi-doped CdMoO4 benefited from efficient separation of photogenerated charge pairs

In this paper, to further boost the photocatalytic performance of CdMoO₄, Bi³⁺ was successfully doped into CdMoO₄ by a facile microwave hydrothermal method. The Bi-doped CdMoO₄ photocatalysts prepared were characterized by Brunauer-Emmett-Teller (BET) method, X-ray diffraction (XRD), UV–Vis diffuse reflectance spectroscopy (DRS), scanning electron microscopy (SEM), energy dispersive spectrometer (EDS), high-resolution transmission electron microscopy (HRTEM), X-ray photoelectron spectroscopy (XPS), electron spin-resonance (ESR) and surface photovoltage spectroscopy (SPS). The results exhibit that doping Bi³⁺ into CdMoO₄ remarkably boosts the separation rate of photoinduced charge pairs and the specific surface area, decrease the crystal size, narrows the band gap of the CdMoO₄ and induces the binding energy shift of Cd, all these advantageous factors result in the promoted photocatalytic performance of CdMoO₄. Using rhodamine B (RhB) as model toxic pollutant, the photocatalytic activities of the photocatalysts were evaluated under a 500 W Xe lamp irradiation. When the molar ratio of Bi/Cd is 0.2%, Bi-CdMoO₄ prepared displays the best photocatalytic performance, the photocatalytic performance of the 0.2% sample is more than twice of that of the reference CdMoO₄.     

Estimation of n-Octanol/water Partition Coefficients （lgKow） and the Aqueous Solubility （-lgSw） of all PCDF Congeners by Density Functional Theory

1 INTRODUCTION As is widely known, PCDFs together with poly- chlorinated dibenzo-p-dioxins (PCDDs) and poly- chlorinated biphenyls (PCBs) have been included in many blacklists, such as “persistent organic pol- lutants (POPs)” and suspected “environmental en- docrine disruptors (EEDs)”. This is because PC- DFs are chemically and thermally stable and com- plex PCDF mixtures are generally resistant to bio- degradation. Although the concentration of these chemicals is quite low o…     

Some recent applications of Fischer carbenemetal complexes in organic synthesis

{[2-(Dialkylamino)ethenyl]ethoxycarbene}chromium complexes 4 have been made available from lithiated terminal alkynes, hexacarbonylchromium, triethyloxonium tetrafluoroborate and secondary amines in a one-pot operation, in good to excellent yields. Reactions of these complexes with alkynes afford 5-dialkylamino-3-ethoxycyclopentadienes 8 with excellent chemoselectivity. From cyclopentadienes of type 8, angular and linear triquinanes, di- and triannelated benzene derivatives 24/25, steroid-like skeletons 30/31, and hexacycles 32/33 can be obtained with great facility. In addition, otherwise not easily accessible cyclopenta[b]pyrans 42/43 and novel spiro[4.4]nonatrienes 52/53 can be prepared in single operational steps from complexes 4 and terminal alkynes via [3 + 2 + 2 + 1] and [3 + 2 + 2 + 2] cocyclizations incorporating two and three alkyne units, respectively. Upon heating simple Fischer carbene complexes of type 2 with methylenecyclopropanes 64, cyclopentenones 65 are formed by formal [4 + 1] cycloadditions. New carbenemetal complexes which have different chemical reactivities can be formed in situ by transmetallation from the corresponding carbenechromium complexes. Various cyclopentenone, cyclopentene and cycloheptanone derivatives are easily accessible from these new carbenemetal (nickel and rhodium) complexes and an alkyne or an allene.     

An unexpected generation of magnetically separable Se/Fe3O4 for catalytic degradation of polyene contaminants with molecular oxygen

Selenization of Fe₂O₃ with NaHSe led to Se/Fe₃O₄. The unexpected generation of Fe₃O₄ attributed to the reduction conditions of the reaction, and the resulted magnetic features of the material facilitated its separation in practical applications. Owning to the synergistic effect of Se with Fe, the material was especially active to catalyze the oxidative C=C scission using O₂ as mild oxidant. The technique has been successfully applied in polyene degradation project, which is of profound practical values for the treatment of the polyene pigment pollution and may be applied in the food and pharmaceutical industry.     

Almost periodic solutions for a class of Liénard-type systems with multiple varying time delays

This paper considers the Liénard-type systems with multiple varying time delays. Some sufficient conditions for the existence and exponential stability of the almost periodic solutions are established, which are new and complement previously known results.     

Planar graphs without cycles of length 4, 5, 8, or 9 are 3-choosable

It is shown that a planar graph without cycles of length 4, 5, 8, or 9 is 3-choosable.     

Shell-in-Shell TiO2 hollow microspheres and optimized application in light-trapping perovskite solar cells

The shell-in-shell structured TiO₂ hollow microspheres with enhanced light scattering ability were synthesized via a facile one step hydrothermal process. The diameter of the microsphere is about 1.5 μm, the core of the unique shell-in-shell structure is composed of TiO₂ nanoparticles with a diameter of about 15 nm, while the shell is constructed with ∼50 nm TiO₂ nanocubes. The hollow space between the outer shell and the inner shell is about 230 nm. The formation mechanism of the unique shell-in-shell structure is interpreted. The design and the optimized application of shell-in-shell structured TiO₂ hollow microspheres in the light-trapping perovskite solar cells are also investigated. Owing to the light scattering properties of the shell-in-shell structure of the hollow microsphere, the optimized photoelectrode exhibits an enhanced photoelectric conversion efficiency of 4.29% using perovskite CH₃NH₃PbI₃ as the sensitizer. The shell-in-shell hollow TiO₂ microsphere shows a 21.2% increase in conversion efficiency when compared with P₂₅ nanoparticels photoanode. The conversion efficiency enhancement is mainly attributed to the increase of short-current density induced by the light scattering effect.