SL(3,3~n)和SU(3,3~n)的第一Cartan不变量

确定Cartan不变量是代数群与相关的李型有限群的模表示理论中的一个重要方面.作者利用代数群模表示理论中的一系列结果,计算了3~n个元素的有限域上特殊线性群SL(3,3~n)和特殊酉群SU(3,3~n)的第一Cartan不变量,得到如下结论:当G=SL(3,3~n)时,C_(00)~((n))=a~n+b~n+6~n-2·8~n;而当G=SU(3,3~n)时,C_(00)~((n))=a~n+b~n+6~n-2·8~n+2·(1+(-1)~n),其中a,b是多项式x~2-20x+48的两个根.另外,作者也得到了射影不可分解模U_n(0,0)的维数公式:dim U_n(0,0)=(12~n-6~n+∈)·3~(3n),其中,当G=SL(3,3~n)时,∈=1;而当G=SU(3,3~n)时,∈=-1.     

AgGa(S1-xSex)2固溶体的电子结构和光学性质

采用基于赝势平面波基组的密度泛函理论方法, 对一系列具有黄铜矿结构的AgGa(S_1-xSe_x)₂固溶体的构型、电子结构、线性和二阶非线性光学性质进行了系统研究. 结果表明, 各固溶体具有类似的能带结构, 体系带隙随x值增加而逐渐减小. 当所引入的Hartree-Fock交换项贡献为22.56%时, 对应的杂化PBE泛函得到的带隙值与实验结果相近. 固溶体的各种光学性质, 包括折射率、双折射率、反射率、吸收系数和二阶倍频系数等均随着组成的改变呈现出有规律的变化趋势, 变化范围介于AgGaS₂和AgGaSe₂二者之间. 因此, 利用固溶体光学性质的变化规律, 可从中寻找出具有特定光学性能的晶体材料.     

小分子基温敏聚合物纳米粒子的制备及在近红外二区荧光成像与光热治疗中的应用

以有机小分子4,9-二(5-9H-芴-2-基-噻吩-2-基)-6',7-联苯[1,2,5]噻二唑并[3,4-g]喹喔啉(TQF)为前驱体, 通过化学方法将其修饰为可引发可逆加成-断裂链转移聚合(RAFT)反应的小分子链转移剂TQF-苯基硫代链 转移剂（CTA）. 以TQF-CTA为链转移剂, 以偶氮二异丁腈为引发剂, 引发N-异丙基丙烯酰胺(NIPAAm)和 甲基丙烯酸寡聚乙二醇酯(OEGMA)发生RAFT聚合反应, 合成了具有良好水溶性和较低临界溶解温度(LCST)的小分子基共聚物[TQF-P(NIPAAm-co-OEGMA), TPNO]. 将其直接溶于水中可制备成温敏的球形纳米粒子 TPNO NPs. 研究结果表明, TPNO NPs在温度大于LCST(35 ℃)时表现出一个明显的粒径变化和显著的荧光 增强行为(2.2倍), 并成功实现了对活体小鼠血管与肿瘤的明亮近红外二区(NIR-Ⅱ)荧光成像(FI). 同时, TPNO NPs有着良好的光热转换效率(PCE=29.8%), 通过体外细胞实验证明了其对细胞具有较好的光热治疗(PTT)效果.     

Nd3+ Sensitized Fluorescent Nanoprobes for Vascular Imaging in the Second Near Infrared Window北大核心CSCD

In recent years,in comparison to the light in the visible range（400~700 nm）and first near-infrared window（NIR-Ⅰ,700~1000 nm）,the light in the second near-infrared window（NIR-Ⅱ,1000~ 1700 nm）possess the merits of the lowest optical scattering and absorption in the bio-tissue. So NIR-Ⅱ fluorescence imaging with deeper tissue penetration depths,high spatiotemporal resolution and signal to noise ratio（SNR）plays an important role in the fields of angiography,lymphangiography and so on. Herein, Nd3+ sensitized fluorescent nanoprobe （U/DNPs,NaGdF4 ∶Yb（18% mole fraction）,Ho（2%）,Ce（30%） @NaGdF4 ,Nd（60%）@NaGdF4 ,Nd（10%）） with core-shell-shell is synthesized through high-temperature coprecipitation and epitaxial growth method. Under the irradiation of 808 nm,the NIR-Ⅱ fluorescence at 1056 nm and 1332 nm are obtained via down-conversion process for further vascular imaging. Furthermore,it can emit red upconversion fluorescence with high red to green（R/G）ratio（I647 /I540 = 22. 6）,possessing greatly potential application for photodynamic therapy. After successful modification of polyvinyl pyrrolidone（PVP） via ligand-exchange strategy,the U/DNPs-PVP nanomaterials possess excellent solubility in water and good biocompatibility,and can achieve the NIR-Ⅱ fluorescence vessels imaging with spatial resolution of 336. 3 µμm in vivo. © 2022, Science Press (China). All rights reserved.     

Dielectrophoretic ultra-high-frequency characterization and in silico sorting on uptake of rare earth elements by Cupriavidus necator

Rare earth elements (REEs) are widely used across different industries due to their exceptional magnetic and electrical properties. In this work, Cupriavidus necator is characterized using dielectrophoretic ultra-high-frequency measurements, typically in MHz range to quantify the properties of cytoplasm in C. necator for its metal uptake/bioaccumulation capacity. Cupriavidus necator, a Gram-negative bacteria strain is exposed to REEs like europium, samarium, and neodymium in this study. Dielectrophoretic crossover frequency experiments were performed on the native C. necator species pre- and post-exposure to the REEs at MHz frequency range. The net conductivity of native C. necator, Cupriavidus europium, Cupriavidus samarium, and Cupriavidus neodymium are 15.95 ± 0.029 μS/cm, 16.15 ± 0.028 μS/cm, 16.05 ± 0.029 μS/cm, 15.61 ± 0.005 μS/cm respectively. The estimated properties of the membrane published by our group are used to develop a microfluidic sorter by modeling and simulation to separate REE absorbed C. necator from the unabsorbed native C. necator species using COMSOL Multiphysics commercial software package v5.5.     

Kinetic study on solute permeation at the interface of molecular aggregates by partial filling capillary electrophoresis

Moment analysis method using partial filling CE was developed for the kinetic study on solute permeation at the interface of spherical molecular aggregates. Moment equations for partial filling CE were developed by classifying CE systems into five categories according to the migration velocities of solute and molecular aggregate. The method was applied to the study on the dissolution of electrically neutral solutes into SDS micelles. Elution peaks were measured by partial filling CE while changing the concentration of SDS and the filling ratio of SDS micellar zone to the capillary (ϕ_M). Partition equilibrium constants (K_p) and rate constants of interfacial solute permeation of SDS micelles (k_in and k_out) were determined from the first absolute and second central moments of the elution peaks by using the moment equations. Their values were comparable irrespective of ϕ_M and were almost the same as those previously measured by complete filling CE. The positive correlation of K_p with the hydrophobicity of the solutes was explained in terms of the change in k_in and k_out. It was demonstrated that the moment analysis method using partial filling CE is effective for studying solute permeation kinetics at the interface of spherical molecular aggregates.     

Synthesis,crystal growth,structural, spectral,optical, thermal and dielectric studies of a new nonlinear optical material: 4-Hydroxy-l-proline-l-tartaric acid (1:1)

Single crystals of a new organic material, 4-hydroxy-l-proline-l-tartaric acid (HPTA) adduct, were grown by slow evaporation of an aqueous solution containing equimolar concentrations of 4-hydroxy-l-proline and l-tartaric acid at room temperature. Formation of new crystal has been confirmed by single crystal X-ray diffraction and NMR spectroscopic techniques. The single crystal XRD analysis shows that a molecule of 4-hydroxy-l-proline and a molecule of free l-tartaric acid both of which are interlinked to each other by two types of H-bonding interactions, namely O(6)–H(6)⋯O(2) and N(1)–H(1B)⋯O(10). The title compound (HPTA) crystallizes in monoclinic crystal system with non-centrosymmetric space group P2₁. The suitability of the crystal for optical applications was studied by UV–Vis–NIR spectroscopy. Fourier transform infrared (FT-IR) spectral analysis was used to confirm the presence of various functional groups in the grown crystals. The thermal stability of the compound was investigated by thermogravimetric and differential thermal analyses. The dielectric constant and dielectric loss of the crystal were studied as a function of frequency and temperature. The fluorescence spectral analysis of the title crystal shows an indigo emission. The second order nonlinear optical (NLO) property of the crystal was confirmed by the modified Kurtz–Perry powder second harmonic generation (SHG) test.     

碱金属掺杂叔丁基杯[4]芳烃体系的结构及非线性光学性质

采用密度泛函理论B3LYP方法得到了M@t-Bu-calix[4]arene和(M@t-Bu-calix[4]arene)Li′(M=Li,Na,K)体系的几何结构.其中(M@t-Bu-calix[4]arene)Li′(M=Li,Na,K)三个体系各有5个稳定异构体,在前三个异构体中,碱金属与t-Bu-calix[4]arene分子间具有很强的相互作用能,说明了体系的稳定性.在部分(M@t-Bucalix[4]arene)Li异构体中Li′原子以阴离子形式存在,整个体系表现出碱金属化物的特性.此外,使用CAMB3LYP方法计算了t-Bu-calix[4]arene及碱金属掺杂后体系的非线性光学性质.结果表明,t-Bu-calix[4]arene内部掺杂一个碱金属原子M后,体系的一阶超极化率(β0)有较大提高,而在配体外部又掺杂一个Li原子后,体系具有更大的β0值.其中(M@t-Bu-calix[4]arene)Li′体系的MLi′-4异构体表现出最高的β0值(41827-114354 a.u.),并且随着M原子序数的增加而逐渐增大.可见,碱金属掺杂是提高t-Bu-calix[4]arene非线性光学响应的一种有效策略.     

水环境对GC和AT碱基对质子转移的影响

采用B3LYP/DZP++的方法研究了第一水化层作用和连续化处理的水溶剂作用对鸟嘌呤-胞嘧啶(GC)碱基对和腺嘌呤-胸腺嘧啶(AT)碱基对质子转移反应的影响. GC和AT碱基对在连续化水溶剂作用下,均发生单质子转移(SPT1)和分步的双质子转移(DPT),而在第一水化层5 个水分子的作用下(GC·5H₂O,AT·5H₂O)或同时考虑第一水化层作用和连续化水溶剂作用(GC·5H₂O+PCM,AT·5H₂O+PCM)时,GC和AT碱基对的质子转移均只得到单质子转移反应(SPT1). 单质子转移过程中的活化能变化情况表明：第一水化层对GC和AT碱基对结构和质子转移影响较大,水环境对碱基对的作用主要发生在第一水化层.     

二维TiC层表面H2的化学吸附与物理吸附

第一性原理计算研究发现由于二维TiC单原子层具有高的比表面积与大量的暴露在表面的Ti原子,其是一种非常有潜力的储氢材料.计算结果显示H2可以在二维TiC单原子层表面进行物理吸附与化学吸附.其中化学吸附能为每个氢分子0.36 eV,物理吸附能是每个氢分子0.09 eV.覆盖度为1和1/4层(ML)时,H2分子在二维TiC单原子层表面的离解势垒分别为1.12和0.33 eV.因此,除了物理吸附与化学吸附,TiC表面还存在H单原子吸附.最大的H2储存率可以达到7.69％(质量分数).其中,离解的H原子、化学吸附的H2、物理吸附的H2的储存率分别为1.54％、3.07％、3.07％.符合Kubas吸附特征的储存率为3.07％.化学吸附能随覆盖度的变化非常小,这有利于H2分子的吸附与释放.