人教版高中化学教科书“研究与实践”栏目分析与实施策略*

对人教版高中化学教科书新设计的“研究与实践”栏目的主题内容、功能价值进行分析,就如何充分发挥该栏目的教学功能和价值,发展学生的化学学科核心素养,提出了创设教学情境线索、开发为研究性学习课题、开发为校本选修课程、开发为STEM课程等实施策略。     

学史明理 学史增信*——以“奇妙的二氧化碳”教学中的科学史实情境应用为例

以人类认识二氧化碳知识的形成与发展史实为问题线索和教学主线,进行教学情境设计,探索利用科学史知识,从宏观认识上提升学生对二氧化碳性质的理解,促进学生初步建立学习常见物质的基本思路和方法的有效路径,为初中化学教师教学提供参考借鉴。     

利用智能手机测定补铁药物中的铁含量*

为进一步提升图像比色法测定补铁药物中铁含量的准确性及普适性,考察了拍摄环境对结果的影响,确定了适用于图像比色分析的定量参数,比较使用不同容器来盛装溶液所获得的比色结果,在最优条件下测定了实际样品中铁的含量及加标回收率。结果显示,获得可靠数据的关键是将标准溶液、待测液以及空白溶液拍摄在同一张图片上;由溶液图像R值换算的吸光度值与浓度具有最佳的线性关系;分析以比色皿、试管、点滴板为容器获得的溶液图片,都能得到适合于定量比色分析的数据;测定的加标回收率大于95%。该方法操作简便,测定结果准确,可在各种条件下的高中化学实验室中开展。     

Eigenvalues of a Differential Operator and Zeros of the Riemann $\zeta$-Function

The eigenvalues of a differential operator on a Hilbert-Pόlya space are determined. It is shown that these eigenvalues are exactly the nontrivial zeros of the Riemann $\zeta$-function. Moreover, their corresponding multiplicities are the same.     

Delay of terminal current in systems with abruptly changed Hamiltonian

The current response for the parameter change of a mesoscopic system is a practical issue for future's circuit design. Nowadays most considered cases are various types of bias modulation, while the effect of change of conductor Hamiltonian is seldom addressed. In this paper, we investigate the response of ballistic transport induced by a sudden change of the conductor Hamiltonian. We formulize the terminal current in language of non-equilibrium Green's function. Our method is applied to one-dimensional tight-binding chains and we find that the terminal current has a delay to the Hamiltonian change. The amount of delay is not determined by the velocity of incident electrons in the bias window, but depends on the tight-binding hopping energy γ. The delay of current response at the detecting point away from where the Hamiltonian changes is $C{\gamma }^{?1}$, where C is a constant independent of the system.     

做学科整体理解的先行组织者*——谈高中化学新教材开篇第一课

对3套新修订的高中化学必修教材绪言的内容结构进行分析,认为教师的教学应该从绪言走向序言,升华对教材的认识。教师应从教材的编写意图说明、学科特征和学科发展介绍、教材主要内容和特点分析、学科教育价值阐释和学习建议4个维度,对教材绪言进行序言重构,开启学生认识学科与教材的结构化思维,做好学科整体理解的先行组织者。     

退火对IrMn基磁隧道结多层膜热稳定性的影响

采用磁控溅射方法制备了结构为IrMn/CoFe/AlO_x/CoFe的磁性隧道结多层膜,样品置于真空磁场中进行退火处理. 将在不同温度退火的磁隧道结结构多层膜置于负饱和场中等待,研究退火温度对样品热稳定性的影响. 结果表明:退火提高了多层膜反铁磁层的单轴各向异性能,增加了样品的交换偏置;随着负饱和场等待时间的延长,被钉扎层的磁滞回线向正场偏移,交换偏置单调减小,但退火减弱了这种趋势. 关键词： 磁隧道结 交换偏置 磁化反转     

An adelic Hankel summation formula

In this paper, the convergence of the Euler product of the Hecke zeta-function ζ(s,χ) is proved on the line R(s)=1 with s≠1. A certain functional identity between ζ(s,χ) and ζ(2−s,χ) is found. An analogue of Tate's adelic Poisson summation is obtained for the global Hankel transformation, which is constructed in Li (2010) [7].     

基于“模型认知”的定量实验方案设计的教学实践*——摩尔盐纯度的测定

针对高三定量实验的复习特点,以“摩尔盐纯度的测定”为例进行基于“模型认知”核心素养培养的教学实践。对教学背景、设计思路、教学过程等方面进行研究分析,并从精心选素材,引发模型认知;高质量设问,建构模型认知;点、线、面结合,丰富模型认知等3个角度对促进学生“模型认知”素养提升的化学教学进行分析和阐释。     

A generalization of A. Connes' trace formula

A new Bessel type function is found for each field of p-adic numbers, which has remarkable properties. By using this Bessel function, a Hankel type transformation is defined for every field of p-adic numbers. It is the analogue of the classical Hankel transformation of order zero (Li, 2007 [8]). A global Hankel transformation is defined on the adele group. It is closely related to the Euler product formula of the Riemann zeta function. Local and S-local trace formulas are obtained for the Hankel transformation. They are generalizations of A. Connes' corresponding trace formulas in Connes (1999) [5].