Inversion formula and Parseval theorem for complex continuous wavelet transforms studied by entangled state representation

In a preceding letter (2007 Opt.Lett.32 554) we propose complex continuous wavelet transforms and found Laguerre-Gaussian mother wavelets family.In this work we present the inversion formula and Parseval theorem for complex continuous wavelet transform by virtue of the entangled state representation,which makes the complex continuous wavelet transform theory complete.A new orthogonal property of mother wavelet in parameter space is revealed.     

利用金属筛网拓展光栅衍射实验

为拓展大学物理实验中光栅衍射实验的内容,使其更贴近生活,实验现象形式多样,利用生产生活中常用的金属筛网作为二维光栅设计实验内容。通过筛网的衍射,可直观地观察到二维光栅的衍射现象,并分析了不同衍射图像产生的原因。通过两种不同的方案测量衍射角,从而计算出筛网的关键参数-网孔尺寸。     

Co-delivery of doxorubicin and AS1411 aptamer by poly(ethylene glycol)-poly(<Emphasis Type="Italic">β</Emphasis>-amino esters) polymeric micelles for targeted cancer therapy

Recently, targeted drug delivery systems (TDDS) have offered a great potential and benefits towards the anti-tumor drug delivery. In this work, we designed the TDDS using a biocompatible poly(ethylene glycol)-poly(β-amino esters) amphiphilic block copolymer (PEG-PAEs) synthesized by Michael addition polymerization for combinatorial therapy. Further, the chemotherapeutic agents’ doxorubicin (DOX) and AS1411 DNA aptamer (Apt) are encapsulated in the PEG-PAEs NPs (PDANs) for co-delivery therapeutics. PDANs have shown the monodisperse spherical shape, smooth surface with a net positive charge (average diameter—183.1 ± 27.2 nm, zeta potential—31.2 ± 6.3 mV), and good colloidal stability (critical micelle concentration of PEG-PAEs is about 6.3 μg/mL). The pH-sensitive PAEs endowed PDANs both pH-triggered drug release characteristics and enhanced endo/lysosomal escape ability, thus improving the localization and cytotoxicity of DOX. AS1411 Apt conjugated PDANs precisely targeted nucleolin and their uptake correlates to a significant activity enhancement only in tumor cells (MCF-7) but not in normal cells (MCF-10A). Thus, PDANs can be a very promising targeted drug delivery platform for effective breast cancer therapy.

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Graphical abstract Scheme 1 Schematic illustration of the preparation and cellular uptake of targeted co-delivery system

     

Magnetic M<Subscript><Emphasis Type="Italic">x</Emphasis></Subscript>O<Subscript><Emphasis Type="Italic">y</Emphasis></Subscript>@N-C as heterogeneous catalysts for the catalytic oxidation of aniline solution with sulfate radicals

Metal nanoparticles have been combined with magnet metal–organic frameworks (MOFs) to afford new materials that demonstrate an efficient catalytic degradation, high stability, and excellent reusability in areas of catalysis because of their exceptionally high surface areas and structural diversity. Magnetic M _x O _y @N-C (M = Fe, Co, Mn) nanocrystals were formed on nitrogen-doped carbon surface by using 8-hydroxyquinoline as a C/N precursor. The Co@N-C, MnO@N-C, and Fe/Fe₂O₃@N-C catalysts were characterized by X-ray diffraction (XRD), Raman, scanning electron microscopy (SEM), high-resolution transmission electron microscopy (HRTEM), N₂ adsorption/desorption, and X-ray photoelectron spectroscopy (XPS). The catalytic performances of catalysts were thoroughly investigated in the oxidation of aniline solution based on sulfate radicals (SO₄ ^?.) toward Fenton-like reaction. Magnetic M _x O _y @N-C exhibits an unexpectedly high catalytic activity in the degradation of aniline in water. A high magnetic M _x O _y @N-C catalytic activity was observed after the evaluation by aniline degradation in water. Aniline degradation was found to follow the first-order kinetics, and as a result, various metals significantly affected the structures and performances of the catalysts, and their catalytic activity followed the order of Co > Mn > Fe. The nanoparticles displayed good magnetic separation under the magnetic field.

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Graphical Abstract ?

     

Field expulsion and reconfiguration in polaritonic photonic crystals

We uncover a rich set of optical phenomena stemming from the incorporation of polar materials exhibiting transverse phonon polariton excitations into a photonic crystal structure. We identify in the frequency spectrum two regimes in which the dielectric response of the polaritonic medium can induce extreme localization of the electromagnetic energy. Our analysis of the effect of polarization and the interaction between the polariton and photonic band gaps on the Bloch states leads to a pair of mechanisms for sensitive frequency-controlled relocation and/or reconfiguration of the fields.     

O2在MgO(001)完整和缺陷表面上的吸附

在密度泛函理论的框架下， 采用嵌入点电荷簇模型研究了O2在MgO(001)完整和缺陷表面上的吸附.用电荷自洽的方法确定了点电荷的值.计算结果表明， O2倾向吸附在低配位的角Mg2＋端.并且发现， 当O2为平躺吸附时，键长有较大的拉伸，将有利于O2的解离.同时，分别计算了使用裸簇和嵌入表观±2.0 e点电荷簇模型时的吸附能，并与采用电荷自洽方法的计算值进行了比较.结果表明，电荷自洽方法更能有效反映簇周围的环境，得到的计算结果能够较好地与实验值吻合.最后，分别计算了不同吸附情况下O2的振动频率.     

2020 Roadmap on two-dimensional nanomaterials for environmental catalysis

This roadmap demonstrates a series of two-dimensional nanomaterials, such as graphene, black phosphorus, oxides, layered double hydroxides, chalcogenides, bismuth-based layered compounds, MXenes, metal organic frameworks, covalent organic frameworks, and others, for environmental catalysis.     

3β-羟基雄甾-4-烯-6,17-二酮的合成

去氢表雄酮醋酸酯经过氧甲酸环氧化、高碘酸开环、IBX氧化、脱水和碱性水解等5步反应,以55%的总收率合成得到了非雄性激素芳香化酶抑制剂3β-羟基雄甾-4-烯-6,17-二酮。在环氧化反应中,利用价廉、易制备的过氧甲酸以几乎定量的收率得到了环氧化合物。使用IBX氧化邻二醇,以98.5%的收率得到氧化产物,避免了使用处理困难并且污染环境的铬试剂。