Finite-difference calculation of donor energy levels in a spherical quantum dot subject to a magnetic field

The ground and excited states of a donor impurity at the center of a spherical quantum dot subject to a magnetic field are calculated within the effective-mass approximation. The barriers are infinitely high and the differential equation is solved by combining the finite-difference method with the Richardson extrapolation. The binding and transition energies are more accurate than the available variational values, and excellent agreement is found with the hydrogen atom. The transition energies for a medium-size quantum dot are given.     

Integral Representations of the Large and Little Schröder Numbers

In the paper, the authors establish several integral representations for the generating functions of the large and little Schröder numbers and for the large and little Schröder numbers.     

微结构固体中孤立波的演变及非光滑孤立波

给出了包含宏观应变和微形变的全部二次项以及宏观应变三次项的一种新的自由能函数.利用新自由能函数并根据Mindlin微结构理论，建立了描述微结构固体中纵波传播的一种新模型.利用近来发展的奇行波系统的动力系统理论，分析了系统的所有相图分支，并给出了周期波解、孤立波解、准孤立尖波解、孤立尖波解以及紧孤立波解.孤立尖波解和紧孤立波解的得到，有效地证明了在一定条件下，微结构固体中可以形成和存在孤立尖波和紧孤立波等非光滑孤立波.此结果进一步推广了微结构固体中只存在光滑孤立波的已有结论.     

Graphdiyne-actinyl complexes as potential catalytic materials: A DFT perspective from their structural,bonding, electronic and redox properties

Versatile graphdiyne (GDY) substrate has been modified by numerous transition metals and resulting composites showed excellent photo/electro-catalytic performance. However, GDY materials modified by actinides that are stockpiled waste product due to large-scale use in nuclear industry, are particularly scarce and remains great challenge. To deeply understand the structural properties, GDY complexating actinyl (An^mO₂)ⁿ⁺ (An = U, Np, Pu; m = VI, V) species with its atomistic pore was investigated by relativistic density functional theory (DFT). The GDY pore was found suitable to hold actinyl species, by forming organometallic AnC dative bonds. This chemical coupling interaction was further confirmed by quantum theory of atoms-in-molecule and electronic structure calculations. The GDY-uranyl(V), for instance, shows a π(UC) bonding HOMO, which is anticipated to improve electron transfer between ligand and metal. Orbital structures and compositions of complexes suggest their implication towards catalysis, which were further corroborated by calculations on redox potentials of GDY-actinyl complexes. Hence, our results show the potential applications of GDY complexating actinyl species towards novel catalytic surfaces.     

火焰原子吸收光谱法测定爬地虎中6种微量元素

用湿法和干法分别对爬地虎进行处理,采用火焰原子吸收光谱(FAAS)法,利用标准曲线测定爬地虎中几种微量元素的浓度。在优化的仪器工作条件下,对爬地虎果中6种微量元素可进行分别测定,互不干扰,结果的相对标准偏差在0.70%~4.0%,加标回收率在90.0%~108%,方法简便、快速、准确。     

Some inequalities for the Bell numbers

In this paper, we present derivatives of the generating functions for the Bell numbers by induction and by the Faà di Bruno formula, recover an explicit formula in terms of the Stirling numbers of the second kind, find the (logarithmically) absolute and complete monotonicity of the generating functions, and construct some inequalities for the Bell numbers. From these inequalities, we derive the logarithmic convexity of the sequence of the Bell numbers.     

咔唑-二氨基马来腈类荧光探针的合成及对Cu2+和ClO-的检测

利用咔唑醛与二氨基马来腈合成了一种对Cu²⁺和ClO^-的响应的荧光探针分子CMN。探针分子与Cu²⁺作用后,紫外吸收光谱在394 nm处的吸光度迅速下降,颜色由黄色褪至无色;荧光光谱在452 nm处的发射峰迅速增强,出现明显的蓝色荧光。探针与ClO^-作用后,溶液发生褪色,并在375 nm和394 nm出现强荧光发射,发出淡蓝色荧光。CMN通过配位过程实现了对Cu²⁺的检测,其检测限为47μmol/L;CMN在ClO^-催化下亚胺键水解得到咔唑醛,实现了对ClO^-的检测,检测限3.06μmol/L。CMN可作为荧光检测试纸快速检测环境中的Cu²⁺和ClO^-。     

分光光度法在制备负载型多糖吸附污水中铅的应用

本文用不同活性炭制备了负载型多糖（活性炭改良）,多糖的负载率用硫酸苯酚法测定,标准曲线回归方程为Y=0.005906X+0.1234（ r=0.9998）,RSD为0.7%,线性范围为5~50.0mg/L,耶壳活性炭多糖负载率最高为65.71%。用自制负载型多糖清除污水中的铅,以甲基百里香酚蓝为显色剂,用光度法测定铅吸附率,测定条件为,室温、波长为610nm、甲醇为增敏剂、pH为6、显色剂用量为1.5mg/L,反应时间50min,方法的标准曲线回归方程为Y=0.0682X+0.1825（r=0.9999）,线性范围为0～8.0mg/L。平均6次的检出限为0.2mg/L,加标回收率在96.8%～102.3%,RSD为0.39%～3.2%,同时作了共存离子的干扰。结果不同负载型多糖对铅离子的吸附不同,其中椰壳活性炭负载多糖对铅的吸附最大为28.61%,比相应活性炭对铅的吸附高了16.08%。将多糖负载在活性炭上,可明显提高对铅离子的吸附,所以该研究为清除实际污水乃至土壤中的铅提供依据。