有心圆锥曲线的一条重要性质

平面解析几何有一个著名的定值问题:“若O是椭圆x~2/a~2 y~2/b~2=1的中心,A、B是椭圆上两动点.满足∠AOB=90°,则|OA|~2/1 |OB|~2/1为定值”。 有人已经推广到:椭圆上有三点A、B、C且∠AOB=∠BOC=∠COA=120°.则:|OA|~2/1     

碱原子高里德堡态的极化率

本文使用一种具有解析解的原子唯象势模型,计算了碱原子Na,K,Rb,Cs里德堡(15≤n≤55)的标量和量极化率,计算结果与实验符合很好。还确定了极化率标度关系α=An^*7+Bn^*6中的系数A和B,由此关系外推所得结果也与实验很好地符合。 关键词：     

R-branch high-lying transition emission spectra of SbNa molecule

The calculation results of the R-branch transition emission spectra of(0–0) band of the A21 → X21 transition system of Sb Na molecule are presented in this paper. These R-branch high-lying transitional emission spectral lines are predicted by using the difference converging method(DCM). Our results show excellent agreement between DCM spectral lines and the experimental values, and the deviations are controlled within 0.0224 cm-1. What is more, based on the principle of over-determined linear equations, the prediction error is quantified in this work, which provides reliable theoretical support for our predicted DCM calculations. This work provides a lot of useful information for understanding the microstructure of Sb Na molecule.     

深度学习与“课程思政”协同效应的策略研究——以医用物理学为例

以医用物理学为载体,以深度学习为核心,以达成"课程思政"对课程和学生的要求为目标,探讨了深度学习与"课程思政"的内在联系,在提出课堂教学困境的基础上,讨论了实现深度学习与"课程思政"协同效应的策略,包括提高参与程度、完善学习过程、建构知识的意义和采用多元评价方式.     

基于激光点云多条件约束的相机检校方法

为了克服相机检校对二维/三维检校场的依赖,提出一种基于激光点云多条件约束的相机检校方法。该方法通过对相机获取的多视影像进行光束法平差获得初始相机参数;利用影像点云与其最邻近的激光点云之间的位置关系,以共线方程为基础模型,建立多条件约束的相机检校数学模型;使用不等式约束的最小二乘方法平差迭代解算相机参数。将本文方法与基于三维控制场的检校精度进行了实验对比分析,结果表明本文方法与基于三维控制场的检校精度相当,两者反投影平均误差相差小于0.1 pixel,验证了本文方法在没有传统检校场的情况下进行相机检校的可行性。     

In-situ TEM observation of the evolution of helium bubbles in Mo during He+ irradiation and post-irradiation annealing

The evolution of helium bubbles in purity Mo was investigated by in-situ transmission electron microscopy (TEM) during 30 keV He⁺ irradiation (at 673 K and 1173 K) and post-irradiation annealing (after 30 keV He⁺ irradiation with the fluence of 5.74×10¹⁶ He⁺/cm² at 673 K). Both He⁺ irradiation and subsequently annealing induced the initiation, aggregation, and growth of helium bubbles. Temperature had a significant effect on the initiation and evolution of helium bubbles. The higher the irradiation temperature was, the larger the bubble size at the same irradiation fluence would be. At 1173 K irradiation, helium bubbles nucleated and grew preferentially at grain boundaries and showed super large size, which would induce the formation of microcracks. At the same time, the geometry of helium bubbles changed from sphericity to polyhedron. The polyhedral bubbles preferred to grow in the shape bounded by {100} planes. After statistical analysis of the characteristic parameters of helium bubbles, the functions between the average size, number density of helium bubbles, swelling rate and irradiation damage were obtained. Meanwhile, an empirical formula for calculating the size of helium bubbles during the annealing was also provided.     

Thermal and mechanical properties and micro-mechanism of SiO2/epoxy nanodielectrics

In addition to electrical insulation properties, the thermal properties of nanodielectrics, such as glass transition temperature, thermal expansion coefficients, thermal conductivity, and mechanical properties, including Young's modulus, bulk modulus, and shear modulus, are also very important. This paper describes the molecular dynamics simulations of epoxy resin doped with SiO₂ nanoparticles and with SiO₂ nanoparticles that have been surface grafted with hexamethyldisilazane (HMDS) at 10% and 20% grafting rates. The results show that surface grafting can improve certain thermal and mechanical properties of the system. Our analysis indicates that the improved thermal performance occurs because the formation of thermal chains becomes easier after the surface grafting treatment. The improved mechanical properties originate from two causes. First, doping with SiO₂ nanoparticles inhibits the degree of movement of molecular chains in the system. Second, the surface grafting treatment weakens the molecular repulsion between SiO₂ and epoxy resin, and the van der Waals excluded region becomes thinner. Thus, the compatibility between SiO₂ nanoparticles and polymers is improved by the grafting treatment. The analysis method and conclusions in this paper provide guidance and reference for the future studies of the thermal and mechanical properties of nanodielectrics.     

基于表面重建螺旋型铂铱电极的葡萄糖生物传感器

通过对螺旋型铂铱电极表面进行化学腐蚀和电化学沉积铂纳米粒子实现电极表面的重建和优化,研究了螺旋型铂铱电极在不同腐蚀时间和电沉积时间下的形貌及对过氧化氢(H2O2)的催化活性.对表面重建的工作电极涂覆氧化酶和半透膜,制备出了铂纳米粒子/葡萄糖氧化酶/环氧聚氨酯酶电极,并将其用作葡萄糖传感器的工作电极.传感器计时电流检测结果表明,表面重建后的酶电极传感器对葡萄糖的检测范围扩大为2~45 mmol/L,优于裸铂铱酶电极传感器,电流响应值和灵敏度得到明显提升,同时传感器还具有良好的稳定性和选择性.     

水平成层介质中粘弹性波的计算

本文提出了一种水平成层介质中弹性波粘弹性波计算的新方法，分别研究了线源和点源作用情况。该方法适用于各种粘弹性模型，数值计算简单，可模拟任意震源及所产生的各种体波，面波，数值结果表明具有很高的计算精度和计算效率。