矩阵环中的基于幺半群的极大的Armendariz子环

Let M be a monoid. Maximal M-Armendariz subrings of upper triangular matrix rings are identified when R is M-Armendariz and reduced. Consequently, new families of M- Armendariz rings are presented.     

Study of frequency-modulated excitation of Rydberg potassium atoms by using B-spline

With the B-spline expansion technique and a model potential of the alkali atoms, the properties of frequency-modulated excitation of Rydberg potassium atoms in a static electric field and a microwave field are investigated by using the time-dependent two-level approach. We successfully reproduce the square wave oscillations in the low frequency, the stair step population oscillations in the intermediate frequency, and the multiphoton transitions in the high frequency with respect to the unmodulated Rabi frequency, which have been observed experimentally by Noel et al. [Phys. Rev. A 58 2265 (1998)]. Furthermore, we also numerically obtain the discretized Rabi oscillations predicted in the Landau-Zener accumulation model.     

带阶段结构的扩散的捕食者-食饵模型解的一致有界性和整体存在性

应用能量估计和Gagliardo-Nirenberg型不等式证明了捕食者带阶段结构的具有自扩散和交错扩散的捕食者-食饵模型解的一致有界性和整体存在性.     

Synthesis,Characterization, and Crystal Structure of <Emphasis Type="Italic">N</Emphasis>-<Emphasis Type="Italic">p</Emphasis>-Bromophenyl-<Emphasis Type="Italic">N</Emphasis>′-Phenylacetylthiourea

Abstract   N-p-bromophenyl-N′-phenylacetylthiourea was characterized by elemental analysis, IR and ¹H NMR etc. Single crystal structure of the title compound was determined on X-ray diffraction instrument. The title compound crystallizes in monoclinic space group c2/c, with a = 21.442(5) ?, b = 12.208(2) ?, c = 11.955(2) ?, β = 109.375(4)°, and D _calc = 1.571 g/cm³ for Z = 8. An intermolecular hydrogen bond N–H···S which links two thiourea molecules as a dimer and an offset face-to-face π–π stacking interaction were observed in the title compound. The strong non-covalent interaction influences the conformation and property of thiourea derivatives. Index Abstract  The title compound, N-p-bromophenyl-N′-phenylacetylthiourea, was synthesized by the treatment of phenylacetyl chloride with 4-bromoaniline and its crystal structure determined. Single crystal X-ray diffraction analysis reveals that hydrogen bonds and face-to-face π–π stacking interactions have strong influence on the conformation and molecular stacking of the title compound.      

半干旱区菜地土壤与蔬菜中铁、锰含量及健康风险评估——以甘肃省榆中县为例

在甘肃省榆中县蔬菜基地,选择30个点位采集4种蔬菜(120株)及相应的土样,在对重金属Fe、Mn含量分析测试的基础上,开展蔬菜重金属富集能力分析及健康风险评估。结果表明,研究区土壤中Fe、Mn平均质量分数分别为25 424.55和419.83 mg·kg-1,蔬菜中Fe、Mn平均质量分数分别为7.69和2.31 mg·kg-1鲜质量。蔬菜中Fe、Mn平均富集系数分别为3.02×10-4和5.66×10-3,两者相差一个数量级。Fe、Mn在4种蔬菜中的富集系数不同,在芹菜中富集系数最大。Fe、Mn在同一蔬菜中的富集系数亦差别很大,其富集系数的由大到小顺序为Mn,Fe。榆中县居民膳食Fe、Mn每天摄入量分别为11.55 mg和3.47 mg。因此,榆中县居民通过膳食摄入Fe、Mn明显不足,需要通过其他途径补充Fe、Mn。     

Fast predictor-corrector approach for the tempered fractional differential equations

The tempered evolution equation describes the trapped dynamics, widely appearing in nature, e.g., the motion of living particles in viscous liquid. This paper proposes the fast predictor-corrector approach for the tempered fractional ordinary differential equations by digging out the potential ‘very’ short memory principle. Algorithms based on the idea of equidistributing are detailedly described. Error estimates for the proposed schemes are derived; and the effectiveness and low computation cost, being linearly increasing with time t, are numerically demonstrated.     

Bi2S3量子点敏化TiO2纳米阵列结构的制备及光电性能

利用水热法制备一维TiO₂纳米棒阵列,并采用化学浴沉积法(CBD)结合自组装技术在TiO₂纳米棒上敏化Bi₂S₃量子点,形成TiO₂/Bi₂S₃复合纳米棒阵列。系统研究了复合结构的表面形貌、晶体结构、光学及光电性能。结果表明:在修饰有三氨丙基三乙氧基硅烷自组装单分子膜(APTS-SAMs)的TiO₂纳米棒表面形成一层致密的Bi₂S₃量子点敏化层,这一技术的关键是含-NH₂末端的APTS-SAMs可有效促进Bi₂S₃的异相成核作用;Bi₂S₃的沉积时间对复合结构的光吸收及光电响应性能有决定性的影响,薄膜的光电流随着沉积时间呈先增加后减小的趋势,在沉积时间为20min时,光电流密度最大。这是因为随着沉积时间的增加,TiO₂纳米棒表面Bi₂S₃量子点密度增大,光吸收增加;而当沉积时间进一步延长时,Bi₂S₃在TiO₂纳米棒表面的大量负载而形成堆积和团聚,导致表面缺陷增多,光生电子复合几率增大,从而使光电流密度减小。     

High-performance nitrogen and sulfur co-doped nanotube-like carbon anodes for sodium ion hybrid capacitors

Sodium ion hybrid capacitors are of great concern in large-scale and cost-effective electrical energy storage owing to their high energy and power densities, as well as natural abundance and wide distribution of sodium. However, it is difficult to find a well-pleasing anode material that matches the high-performance cathode materials to achieve good energy and power output for sodium ion hybrid capacitors. In this paper, nitrogen and sulfur co-doped nanotube-like carbon prepared by a simple carbonization process of high sulfur-loaded polyaniline nanotubes is introduced as the anode. The assembled sodium ion half cell based on the optimal nanotube-like carbon delivers a high reversible capacity of ∼304.8 mAh/g at 0.2 A/g and an excellent rate performance of ∼124.8 mAh/g at 10 A/g in a voltage window of 0.01–2.5 V (versus sodium/sodium ion). For the hybrid capacitors assembled using the optimal nanotube-like carbon as the anode and high-capacity activated carbon as the cathode, high energy densities of ∼100.2 Wh/kg at 250 W/kg and ∼50.69 Wh/kg at 12,500 W/kg are achieved.     

Substituent effects on the compounds CX1X2•− (X1, X2 = H, F, Cl, Br, I) from theoretical investigation

The electronic and molecular structures of mono- and dihalocarbene anions constructed by model CX¹X^2?? (X¹, X² = H, F, Cl, Br, I), as well as the corresponding carbenes CX¹X² and analogous silicon-anions SiX¹X^2??, have been studied in detail using the B3LYP, MP2, and QCISD(T) levels of theory. Our calculated findings suggest that stabilization of the compounds is associated with the size of the halogen substituent X, which is further confirmed by ionization energies, the spin density (S _d), and the second-order perturbative energies (E(2)). Besides, we have also explored the source of the anions’ proton affinity difference.     

Reaction of CS2 with CHBr•− and CBr 2 •− in the gas phase: a Theoretical Mechanistic Study

The mechanisms of reactions of CS₂ with CHBr^??/CBr ₂ ^?? anions have been investigated by density functional theory calculations. Our results strongly suggest that the main pathway is middle-C attack, which is highly exothermic. The primary ionic products are Br^? and C₂S₂ ^?, and SCHBr^? is a minor product. Theoretical results are consistent with experimental observation. Based on the investigations presented here, we confirm that CHBr^?? is more reactive than CBr ₂ ^?? .