Twisted Poincaré Duality for some Quadratic Poisson Algebras

We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial algebra endowed with Poisson bracket arising from a uniparametrised quantum affine space. This Poisson module is obtained as the semiclassical limit of the dualising bimodule for Hochschild homology of the corresponding quantum affine space. As a corollary we compute the Poisson cohomology of R, and so retrieve a result obtained by direct methods (so completely different from ours) by Monnier. This research of the first author was supported by a Marie Curie Intra-European Fellowship within the 6th European Community Framework Programme. The second author was supported by EPSRC Grant EP/D034167/1.     

The Sixth Painlevé Equation as Similarity Reduction of $${\widehat{\mathfrak{gl}}_3}$$ Generalized Drinfel’d–Sokolov Hierarchy

Scaling symmetry of -type Drinfel’d–Sokolov hierarchy is investigated. Applying similarity reduction to the hierarchy, one can obtain the Schlesinger equation with (n + 1) regular singularities. Especially in the case of n = 3, the hierarchy contains the three-wave resonant system and the similarity reduction gives the generic case of the Painlevé VI equation. We also discuss Weyl group symmetry of the hierarchy.      

高可见光催化降解污染物和产氢活性的Z型N-掺杂K4Nb6O17/g-C3N4异质结

随着人口增长和全球工业化进程加快,人们饱受环境污染和能源短缺问题的困扰.半导体光催化技术作为一种高效、可持续、环境友好、有潜力的新技术,在环境净化和能源开发方面有着广阔的应用前景.到目前为止,人们已开发出多种半导体光催化剂,并广泛应用于污染物降解、氢气制备和二氧化碳还原等领域.其中,化合物K4Nb6O17具有典型的层状结构、合适的电子能带结构、结构易改性以及良好的电荷传输性能等特点,在光催化领域得到了广泛研究.然而,单纯K4Nb6O17仍存在光响应范围窄、光生载流子复合率高等问题,限制了K4Nb6O17的进一步应用.因此,需要对K4Nb6O17进行改性,拓宽其光吸收范围,提高其光生载流子分离效率,从而提高其光催化活性.本研究通过简单焙烧法制备Z型N-掺杂K4Nb6O17/g-C3N4(KCN)异质结光催化剂,其中石墨相氮化碳(g-C3N4)在复合材料中质量比约为50%.层状K4Nb6O17层板的电子结构通过N掺杂进行调控,拓宽其光响应范围,使其具有可见光响应;同时,形成的g-C3N4位于N-掺杂K4Nb6O17的外层以及内层空间,在这两种组分之间形成异质结,有利于提高光生载流子的分离效率.荧光光谱、时间分辨荧光光谱和光电化学测试表明,N掺杂和异质结的形成有利于增强光生电子-空穴对的传输和分离效率.通过在可见光照射下降解罗丹明B(RhB)和产氢来评估材料的光催化性能.相比g-C3N4(8.24μmol/h)和Me-K4Nb6O17(~1.30μmol/h),KCN复合材料光催化产氢效率(~16.91μmol/h)得到了极大提高,并显示出极好的光催化产氢稳定性能.对于光催化降解RhB体系,KCN复合材料也显示出较好的光催化活性和稳定性,并能很好地将RhB矿化.鉴于KCN复合材料具有较小的比表面积(9.9 m^2/g)且无孔结构,认为比表面积对光催化活性影响较小.因此,与单组分相比,KCN复合材料光催化产氢和RhB降解活性都得到了极大提高,活性的增强主要归功于N掺杂和异质结形成的协同效应,其中N掺杂可以拓宽光捕获能力,异质结形成可提高电荷载流子的分离效率.电子自旋共振(ESR)谱表明,在KCN降解RhB体系中,超氧自由基(·O2^?)、羟基自由基(·OH)和空穴(h^+)作为主要活性物质都参与了反应.结合实验结果可以推测KCN复合材料满足了Z型光催化体系,该体系具有高效的光生载流子分离效率和较高的氧化还原能力.     

A facile electrochemical method for the synthesis of new sulfonamide derivatives of potential biological significance

The electrochemical synthesis of some new sulfonamide derivatives was carried out via the electrochemical oxidation of 2,3-dihydrophthalazine-l,4-dione （1） in the presence of arylsulfinic acids （2a and 2b） as nucleophiles. The results show that, the electrogenerated phthalazine-l,4-dione （lox） participates in a Michael type addition reaction with 2a or 2b and via an EC mechanism to produce the corresponding sulfonamide derivatives. This method provides a one-pot procedure for the synthesis of new sulfonamide derivatives of potential biological significance in good yields without using toxic reagents at a carbon electrode in an environmentally friendly manner.     

部分还原二氧化钛的NMR和EPR研究

Partially reduced TiO₂ nanomaterials have attracted significant interest because of their visible-light activity for catalysis and photodegradation. Herein, we prepared a partially reduced anatase TiO₂ (Re-A-TiO₂) nanoparticle material using a fast combustion method, demonstrating good activity toward decomposing methyl orange under visible light irradiation. The surface structure of the prepared material, after being surface-selectively ¹⁷O-labeled with H₂¹⁷O (¹⁷O-enriched water), was studied via ¹⁷O and ¹H solid-state magic angle spinning nuclear magnetic resonance (MAS NMR) spectroscopy and electron paramagnetic resonance (EPR) spectroscopy, and the obtained results were compared to those of non-reduced anatase TiO₂ (A-TiO₂). The EPR results showed that the concentrations of paramagnetic species (i.e., oxygen vacancies (OV) and Ti³⁺) in Re-A-TiO₂ were much higher than that in A-TiO₂, while the former was associated with a higher OV/Ti³⁺ ratio. The intensities of the EPR signals were significantly affected by the adsorbed water, and this phenomenon was explored in combination with ¹H NMR spectroscopy. The ¹H species on Re-A-TiO₂ appeared at larger chemical shifts, denoting the increased acidity of the sample, and these ¹H species on Re-A-TiO₂ were more difficult to remove than those on A-TiO₂. On the other hand, different features were observed for the signals arising from the two-coordinated oxygen atoms (μ₂-O) in ¹⁷O NMR, suggesting a typical anatase TiO₂(101) surface on A-TiO₂, but a more complex surface environment for Re-A-TiO₂. Furthermore, a larger amount of hydroxyl groups (OH) were observed on Re-A-TiO₂ compared to that on A-TiO₂, indicating a larger proportion of exposed (001) facets on Re-A-TiO₂. However, the μ₂-O signals broadened and became similar when the drying temperature was increased to 100 ℃, indicating a non-faceted anatase TiO₂ surface in such conditions. Based on the EPR and NMR results, a significant fraction of the OH species is believed to be formed from the reaction of the paramagnetic centers and adsorbed water molecules. The ¹H→¹⁷O cross polarization (CP) MAS and two-dimensional heteronuclear correlation (2D HETCOR) NMR spectra were used to verify the spatial proximity of the hydrogen and oxygen species, confirming the spectral assignments of a strongly adsorbed water and one type of surface OH species. In particular, the ¹H NMR signals at approximately 11 ppm were ascribed to the hydrogen species in the intramolecular hydrogen bond. In summary, this study investigated the paramagnetic species and surface structure of anatase TiO₂ materials by combining EPR along with ¹H and ¹⁷O solid-state NMR spectroscopy. The differences in the surface structures of Re-A-TiO₂ and A-TiO₂ should be closely related to their different properties toward the photodegradation of methyl orange.     

双环[3.3.0]-3,7-辛二烯-2,6-二酮晶体的分子结构

利用 Enraf-Nonius CAD4四圆单晶衍射仪测定了双环[3.3.0]-3,7-辛二烯-2,6-二酮(2)的单晶结构,晶体属三斜晶系,空间群为 PI,晶胞参数为:a=6.596(2)(?),b=7.414(1)(?),c=7.359(1)(?),α=106.64(1)°,β=100.17(1)°,γ=98.44(1)°,ν=331.9((?)~3),Ζ=2。用直接法得到分子的粗结构。对1013个可观察反射点用全矩阵最小二乘法修正,最后得R=0.060,结构测定的结果证实:两个五员环自成一个平面,两平面间夹角为117.3°。     

基于等离子体型Ag@AgBr插层K4Nb6O17的可控合成及光催化性能

在微波辅助条件下采用离子交换和光致还原的方法将Ag@AgBr纳米粒子插层进入K4Nb6O17层间,制备了具有等离子体共振效应的可见光催化剂(记作K4Nb6O17/Ag@AgBr).在胺交换过程中采用不同链长的有机胺对酸交换产物进行柱撑,通过铌酸钾层间距的变化实现层间Ag@AgBr纳米粒子的形貌调控.利用XRD,SEM,EDX,UV-Vis等手段对复合催化剂进行结构、形貌和性质分析,并对复合光催化剂进行了可见光降解亚甲基蓝、甲基橙和苯酚的性能研究.结果表明:改性后的复合光催化剂在可见光区的响应大大增强;3种复合光催化剂对目标污染物均具有良好的可见光催化活性,其中十二胺柱撑的Ag@AgBr插层K4Nb6O17复合光催化剂对亚甲基蓝的移除效果最好.     

17O-核磁共振法研究不同处理方法对液态水缔合结构的影响

水作为人类重要的生产要素,参与了卷烟生产的多个环节。水在自然条件下以分子簇的形式存在,多种处理方式可以改变水分子团簇的大小。本文以¹⁷O-核磁共振法为水分子团簇的表征手段,以自来水为水源,考察了氢气、远红外辐射陶瓷球、反渗透、磁场四种处理方法对水分子簇的影响。结果表明:四种处理方式均能使一定量水分子由氢键结合态变为自由态,从而使水分子簇变小。不同处理方法对液态水缔合结构的影响大小排序为氢气处理>远红外陶瓷球处理>反渗透处理>磁场处理。同时,对氢气处理效果的时效性进行了考察,随着放置时间增加,部分自由态水分子再次转变为氢键结合态,水分子簇尺寸变大,但三天后仍保留了一定处理效果。本研究表明氢气处理为四种处理方式中最优的水处理方式,具有提升烟草行业生产用水品质的潜在应用价值。     

Development of GC–MS/MS method with programmable temperature vaporization large volume injection for monitoring of 17β-estradiol and 2-methoxyestradiol in plasma

Monitoring of estradiol and its metabolites in biological samples is essential for the accurate diagnosis of a number of endocrine diseases. In this study, a sensitive, precise and specific GC–MS/MS method for the quantification of 17β-estradiol (17-BE) and its main metabolite, 2-methoxyestradiol (2-MEOE), in plasma was developed and validated. Plasma concentrations of these steroids are currently investigated as diagnostic markers for pre-eclampsia, a systematic disorder of pregnancy and a leading cause of maternal and fetal morbidity and mortality worldwide.