用祖暅原理求平面图形面积的探索

我们知道：能用初等方法求出面积的平面图形有圆与多边形（可分割成三角形来求）,除此以外就屈指可数了．本文与同学们一起探索用祖暅 原理求平面图形的面积,直到推导出椭圆的面积公式,一起来吧,其乐无穷。     

Effects of prism beam expander and slits on excimer laser linewidth narrowing module

Theoretical simulation and experiments based on a prism beam expander and an echelle grating are conducted to study the dependence of linewidth and pulse energy on incidence angle and slit width. With a larger prism incident angle or narrower slit width, the linewidth becomes narrower while the laser pulse energy becomes lower. However, the pulse energy can be improved by optimally designing the prism beam expander. In addition, a subpicometer linewidth ArF laser is obtained with a double-prism beam expander and an echelle grating.     

Effect of fused silica subsurface defect site density on light intensification

The effect of defect density on the modulation of incident laser waves is investigated. First, based on the actual defect distribution in the subsurface of fused silica, a three-dimensional (3D) grid model of defect sites is constructed. The 3D finite-difference time-domain method is developed to solve the Maxwell equations. Then the electrical field intensity in the vicinity of the defect sites in the subsurface of fused silica is numerically calculated. The relationships between the maximal electrical field intensity in fused silica and the geometry of the defect sites are given. The simulated results reveal that the modulation becomes more remarkable with an increase of the defect density. In addition, the effect of the distribution mode of defects on modulation is discussed. Meanwhile, the underlying physical mechanism is analyzed in detail.     

Role of chelating agent in chemical and fluorescent properties of SnO2 nanoparticles

A modified polyacrylamide gel route is applied to synthesize SnO2 nanoparticles. High-quality SnO2 nanoparticles with a uniform size are prepared using different chelating agents. The average particle size of the samples is found to depend on the choice of the chelating agent. The photoluminescence spectrum detected at λex = 230 nm shows a new peak located at 740 nm due to the surface defect level distributed at the nanoparticle boundaries.     

基于电化学方法测定饮用水源水中的痕量铜离子

本文建立了一种饮用水源水中痕量溶解态铜离子（Cu²⁺）的定性和定量电化学检测方法. 该方法首先通过电化学循环伏安法于玻碳电极表面制备粒径约为70 nm的金纳米粒子（Au NPs）,然后采用方波阳极溶出伏安法进行待测水样中Cu²⁺的定性定量分析. 研究结果表明,对于标准溶液,方法的检出限为1.3μg·L^-1,线性范围在2 ~ 50μg·L^-1之间,常见重金属离子对其定性定量分析几无影响. 在此基础上,将该方法应用于福建省重要的饮用水源水--闽江中游水样中Cu²⁺的含量分析,所得测试结果与国家标准方法（石墨炉原子吸收光谱法）无显著性差异,标准偏差在20%以内. 本方法具有电极制备简单、测定成本低以及分析快速等优点,进一步优化电极制备方法以提高方法的重现性和定量准确度,将可望用于现场测定各种饮用水源水中的痕量溶解态Cu²⁺.     

等离子体屏蔽效应对原子能级和振子强度的影响

利用Debye模型,研究了等离子体屏蔽效应对热等离子体中原子能级和振子强度的影响.通过在MCDF模型中引入等离子体屏蔽效应,计算了MnXXII-BrXXII等11个类Be离子在等离子体环境下2s²—［2s_1/2,2p_1/2］₁和2s²—［2s_1/2,2p_3/2］₁跃迁的能级和振子强度.计算结果表明,等离子体屏蔽效应使得类Be离子2s²—［2s_1/2,2p_1/2］₁跃迁的激发能量增大,从而导致谱线蓝移现象;并且随着屏蔽效应的不断增强,蓝移的程度会逐渐加大.屏蔽效应对于2s²—［2s_1/2,2p_3/2］₁跃迁的振子强度也有类似的影响. 关键词： Debye 等离子体屏蔽 跃迁能级 振子强度     

溶胶-凝胶SiO2薄膜氨热两步后处理

 以正硅酸乙酯为前驱体,氨水作催化剂,采用溶胶-凝胶法提拉镀制SiO₂双面膜,对薄膜进行氨处理和热处理。采用椭偏仪、分光光度计、红外光谱、扫描探针显微镜、静滴接触角测量仪表征薄膜的特性。研究表明：经氨热两步后处理,膜厚持续减小,折射率经氨处理先增大了0.236,再经热处理又减小了0.202,膜层透光性变好,透过率峰值持续向短波方向移动;经两步后处理的膜面平整度明显变好,与水的接触角先增大到58.92°后减小到38.07°。     

J正交矩阵的一些性质

给出了J正交矩阵的一些性质．     

铝酸盐水泥对石膏基材料强度及耐水性的改善

石膏在水中的溶解度高,导致其使用范围受到限制.为了改善石膏基材料的耐水性,拟用铝酸盐水泥对其进行改性实验,分析铝酸盐水泥掺量对石膏基材料标准稠度用水量、强度、吸水率及软化系数的影响.结果表明,铝酸盐水泥掺量为25%时,石膏基材料的抗压强度和抗折强度均达到最高,分别为6.25 MPa和2.30 MPa,比不掺水泥者分别提高了69%和43.7%.铝酸盐水泥掺量为30%时,石膏基材料的软化系数最大可达0.60,比不掺水泥者提高了50%.铝酸盐水泥与石膏结合,形成具有水硬性的钙矾石(AFt),因此大幅度改善了石膏基材料的强度和耐水性.     

高活性铜催化剂无受体乙醇催化脱氢制乙醛研究

相较于Wacker工艺进行乙醛工业化生产,发展多相催化体系实现乙醇直接无氧催化脱氢制乙醛和副产氢气,从生产工艺和经济价值方面无疑是一条更加安全高效的路线.在此,我们发展了一种高效、稳固的Cu/SiO₂催化剂,用于乙醇的无受体催化脱氢.通过氨蒸发法制备得到高度分散的Cu颗粒,在没有任何平衡气体的纯乙醇进料条件下,显示出超强的热稳定性.活性组分Cu和载体SiO₂之间的强相互作用,使其具有优异的催化性能.通过反应条件优化,在250℃下实现了较高的乙醇转化率(>40%)和乙醛选择性(>95%),且催化剂在固定床连续反应过程中可稳定运行超过400 h.