Statistical and Geometrical Way of Model Selection for a Family of Subdivision Schemes

The objective of this article is to introduce a generalized algorithm to produce the m-point n-ary approximating subdivision schemes(for any integer m, n ≥ 2). The proposed algorithm has been derived from uniform B-spline blending functions. In particular, we study statistical and geometrical/traditional methods for the model selection and assessment for selecting a subdivision curve from the proposed family of schemes to model noisy and noisy free data. Moreover, we also discuss the deviation of subdivision curves generated by proposed family of schemes from convex polygonal curve. Furthermore, visual performances of the schemes have been presented to compare numerically the Gibbs oscillations with the existing family of schemes.     

一类新的(2n-1)点二重动态逼近细分

利用正弦函数构造了一类新的带有形状参数ω的(2n-1)点二重动态逼近细分格式.从理论上分析了随n值变化时这类细分格式的C~k连续性和支集长度;算法的一个特色是随着细分格式中参数ω的取值不同,相应生成的极限曲线的表现张力也有所不同,而且这一类算法所对应的静态算法涵盖了Chaikin,Hormann,Dyn,Daniel和Hassan的算法.文末附出大量数值实例,在给定相同的初始控制顶点,且极限曲线达到同一连续性的前提下和现有几种算法做了比较,数值实例表明这类算法生成的极限曲线更加饱满,表现力更强.     

Efficient Near-Infrared Electroluminescence from Lanthanide-Doped Perovskite Quantum Cutters

Perovskite nanocrystals (PeNCs) deliver size- and composition-tunable luminescence of high efficiency and color purity in the visible range. However, attaining efficient electroluminescence (EL) in the near-infrared (NIR) region from PeNCs is challenging, limiting their potential applications. Here we demonstrate a highly efficient NIR light-emitting diode (LED) by doping ytterbium ions into a PeNCs host (Yb³⁺ : PeNCs), extending the EL wavelengths toward 1000 nm, which is achieved through a direct sensitization of Yb³⁺ ions by the PeNC host. Efficient quantum-cutting processes enable high photoluminescence quantum yields (PLQYs) of up to 126 % from the Yb³⁺ : PeNCs. Through halide-composition engineering and surface passivation to improve both PLQY and charge-transport balance, we demonstrate an efficient NIR LED with a peak external quantum efficiency of 7.7 % at a central wavelength of 990 nm, representing the most efficient perovskite-based LEDs with emission wavelengths beyond 850 nm.     

Perfectly Encoding π-Conjugated Anions in the RE5(C3N3O3)(OH)12 (RE=Y,Yb, Lu) Family with Strong Second Harmonic Generation Response and Balanced Birefringence

Nonlinear optical (NLO) crystal, which simultaneously exhibits strong second-harmonic-generation (SHG) response and desired optical anisotropy, is a core optical material accessible to the modern optoelectronics. Accompanied by strong SHG effect in a NLO crystal, a contradictory problem of overlarge birefringence is ignored, leading to low frequency doubling efficiency and poor beam quality. Herein, a series of rare earth cyanurates RE₅(C₃N₃O₃)(OH)₁₂ (RE=Y, Yb, Lu) were successfully characterized by 3D electron diffraction technique. Based on a “three birds with one stone” strategy, they enable the simultaneous fulfillment of strong SHG responses (2.5–4.2× KH₂PO₄), short UV cutoff (ca. 220 nm) and applicable birefringence (ca. 0.15 at 800 nm) by the introduction of rare earth coordination control of π-conjugated (C₃N₃O₃)³⁻ anions. These findings provide high-performance short-wavelength NLO materials and highlight the exploration of cyanurates as a new research area.     

ICP-A ES法测定中国不同产地绒柄牛肝菌中矿质元素含量

采用微波消解处理样品,以电感耦合等离子体发射光谱法（IC P-A ES ）测定了采自云南省不同地点的绒柄牛肝菌菌盖和菌柄中的12种矿物质元素（P ,Na ,Ca ,Cu ,Fe ,Mg ,Zn ,As ,Cd ,Co ,Cr ,Ni）含量。结果显示：绒柄牛肝菌中P ,Ca ,Mg ,Fe ,Zn ,Cu的含量较高,其中菌盖中的P ,Mg ,Zn ,Cd较高,而菌柄中的Ca ,Co ,Ni较高;聚类分析结果显示,采用普洱地区的样品与其他地区的样品差异较大;主成分分析结果显示,前三个主成分的累计贡献率为77％,其中第一主成分中的P ,Ca ,Cu ,Fe ,Mg ,As ,第二主成分中的Ni ,Na以及第三主成分中的Cd和Zn对区分不同地点的样品贡献较大。结果表明采自不同生境地的食用菌元素含量差异较大。     

Critical temperatures of elements from their boiling points

A linear relation between critical temperature and boiling point is proposed for elements belonging to the same group in the periodic table. The validity of the relationship is demonstrated for the alkalies and the groups 16, 17 and 18. From this the critical temperature of tellurium is predicted as 2325?K and that for polonium as 2277?K.     

传统文化蕴含的化学智慧在元素无机化学教学中的有机融入

在讲授元素无机化学时,把中国传统文化中所包含的化学知识、化学智慧有机地融入课堂教学,将元素无机化学讲授与课程思政教学有机融合,从而增加理科课堂的文化性、知识性和趣味性,激发学生的学习兴趣;同时培养学生的文化自信,激发学生的民族自豪感。     

FAAS测定酒当归中的微量元素

采用硝酸-高氯酸（4＋1）混合酸消解样品,用火焰原子吸收光谱法（FAAS）测定了酒当归中Fe、Cu、Mg、Ca、Mn、Zn、Ni、Cr、Pb 9种微量元素的含量。结果表明,9种元素的质量浓度在一定的范围内均与其峰面积呈线性关系。该法用于酒当归样品分析,9种元素测定值的相对标准偏差（n=6）均小于3%,标准加入法测得9种元素回收率在91.2%—109.7%之间。采用火焰原子吸收光谱法测定酒当归中9种微量元素稳定性好,结果准确可靠。     

ICP-AES测定油田水中的多种金属元素

研究了采用电感耦合等离子体-原子发射光谱法(ICP-AES)测定油田水中铜、锌、锰、镍、铬、铁、锶、钡8种元素的方法.方法检出限为0.0003-0.0048μg·mL-1,回收率在96.7％-102.0％之间,相对标准偏差为0.77％-3.57％.采用该方法对油田水样进行了分析,结果表明精密度和准确度均满足分析要求.     

7种水生蔬菜微量元素的测定及比较

采用微波消解样品,电感耦合等离子体-原子发射光谱法测定了茭白、芦笋、菱角、芡实、莲藕、莲子、荸荠7种水生蔬菜中K、Ca、Mg、Cu、Zn、Fe、Mn、Cr、Cd、Pb 10种微量元素的含量.该方法的加标回收率在95.3％-105.8％之间,RSD值小于3.0％,具有较好的准确度和精密度.结果表明,7种水生蔬菜中K、Mg...