高瓦斯矿发火区封闭时对瓦斯爆炸界限因素的影响

针对高瓦斯矿发火区封闭时常发生瓦斯爆炸事故,对影响瓦斯爆炸界限的因素进行实验,探索温度、压力、可燃气体(CO)、惰性气体(N2和CO2)等条件对瓦斯爆炸界限的影响规律。得出常温常压下瓦斯爆炸的体积分数下限为5%,瓦斯爆炸上限为13.5%,以及CO2的惰化效果比N2更好的结论。根据实验数据绘制混合气体的爆炸三角形,并进行新的惰化分区划分,不仅为火区封闭时防治瓦斯爆炸提供新的技术途径,而且能计算出使火区惰化时,所需惰性气体量,可对这些因素进行合理控制,有效地降低瓦斯爆炸危险性。     

芳香杂环聚合物紫外-可见光谱性质的理论研究

在AM₁方法优化构型的基础上,用ZINDO/CI方法计算了系列芳香杂环聚合物的紫外-可见光谱,探索分子结构与其光学性质之间的关系.理论计算结果表明,模型化合物ABPBO,PBO,PBOV和PBODV的紫外-可见光谱最大吸收波长(λ_max)依次增加,且相应吸收强度与分子链共轭长度相关.根据线性递变规律推导的理论λ_max值与其实验值(薄膜干态紫外吸收)符合得较好.由于质子化效应等环境因素,溶液中测量值较理论值和薄膜紫外吸收偏大.     

左旋丙叉甘油醇合成方法的改进

左旋丙叉甘油醇合成方法的改进;L-丝氨酸;合成;左旋丙叉甘油醇;二甲氧基丙烷     

染毒血浆中五种神经性毒剂的气相色谱法分析

神经性毒剂主要包括沙林、梭曼、GF、VX和俄罗斯VX。对环境样品(水、泥土、粮食等)中这些毒剂的分析检测方法有气相色谱法(GC)和气相色谱一质谱法,应用较多的检测器是氢火焰离子化检测器(FID)。对生物样品中某种毒剂的分析检测方法已有报道,但对上述5种毒剂的系统检测方法未见报道。我们建立的染毒血浆中5种毒剂同时提取、同时检测的气相色谱-火焰光度检测(GC-FPD)的分析方法,操作简便,系统性强,灵敏度高,血浆中毒剂的回收率较高,杂质不干扰毒剂检测。     

Torsional impact response of a penny-shaped crack in a functional graded strip

The torsional impact response of a penny-shaped crack in a nonhomogeneous strip is considered. The shear modulus is assumed to be functionally graded such that the mathematics is tractable. Laplace and Hankel transforms were used to reduce the problem to solving a Fredholm integral equation. The crack tip stress field is obtained by considering the asymptotic behavior of Bessel function. Explicit expressions of both the dynamic stress intensity factor and the energy density factor were derived. And it is shown that, as crack driving force, they are equivalent for the present crack problem. Investigated are the effects of material nonhomogeneity and strip‘s highness on the dynamic fracture behavior.Numerical results reveal that the peak of the dynamic stress intensity factor can be suppressed by increasing the nonhomogeneity parameter of the shear modulus, and that the dynamic behavior varies little with the adjusting of the strip‘ s highness.     

Depinning dynamics of driven colloids with random pinning： a numerical study

Using Langevin simulations, we have investigated numerically the depinning dynamics of driven two-dimensional colloids subject to the randomly distributed point-like pinning centres. With increasing strength of pinning, we find a crossover from elastic to plastic depinnings, accompanied by an order to disorder transition of state and a substantial increase in the depinning force. In the elastic regime, no peaks are found in the differential curves of the velocity－force dependence (VFD) and the transverse motion is almost none. In addition, the scaling relationship between velocity and force is found to be valid above depinning. However, when one enters the plastic regime, a peak appears in the differential curves of VFD and transverse diffusion occurs above depinning. Furthermore, history dependence is found in the plastic regime.     

Passive mode locking of a Nd：YAG laser with co－doped Nd, Cr：YAG as saturable absorber

We demonstrate the characteristics of relatively low saturation intensity using co-doped Nd, Cr:YAG as saturable absorber for passively mode locking the Nd:YAG laser. The difference of the saturation intensity between Q-switched and mode-locked operation in co-doped Nd, Cr:YAG was only one to two orders of magnitude, while Cr:YAG was generally reported at a difference of five orders of magnitude. More than 80% mode locking modulation depth was achieved at an incident pump power of 4.4W, corresponding to an intracavity intensity of 6×10^4W/cm^2, using a 68cm long plano-concave cavity.     

非线型三原子分子势能面的Lie代数方法

利用Lie代数方法得到三原子分子的代数Hamiltonian ,通过对光谱数据的拟合确定其展开系数 ,再用相干态得到代数Hamiltonian的经典极限 ,从而得到三原子分子的势能面 .以H2 O分子为例进行了计算 ,其理论值与实验结果一致. The algebraic Hamiltonian for a triatomic molecule can be obtained by using dynamical Lie algebra method (the expansion coefficients are obtained by fitting spectroscopic data). Triatomic molecular potential energy surface (PES) is obtained by using coherent state to take the classical limits of algebraic Hamiltonian. This PES is applied to H 2O molecule, and the deduced force constant is in good agreement with the experimental data.     

数学竞赛之窗

有关本栏目的稿件，请直接寄给熊斌（２０００６２，上海：华东师大数学系），或冯志刚（２００２３１，上海市上海中学）．提供试题与解答请尽量注明出处．本期给出１９９８年第２７届美国数学奥林匹克试题，解答由上海中学的赵漫其和吴忠涛同学给出．第２７届美国数学奥...