一本教材中的一道错误习题

指出北航版工科研究生教材《矩阵论引论》中一道有关满秩分解定理应用的习题存在错误,并进行纠正.此题经过适当修改,还可得到一道构造性的习题.     

子群的S-条件置换性对有限群结构的影响

Let G be a finite group. Fix a prime divisor p of IGI and a Sylow p-subgroup P of G, let d be the smallest generator number of P and Ma（P） denote a family of maximal subgroups P1, P2 , Pd of P satisfying ∩^di=1 Pi = Ф（P）, the Frattini subgroup of P. In this paper, we shall investigate the influence of s-conditional permutability of the members of some fixed .Md（P） on the structure of finite groups. Some new results are obtained and some known results are generalized.     

A method to quantitatively estimate rainfall rate above water surface based on different spectra shapes generated by rainfall

A method combined with the nonlinear least-square regression to quantitatively estimate rainfall rate over water surface from the different spectrum shapes generated by rainfall in some frequency bands was presented.About 2000 min spectrum data generated by rainfall have been collected in an open-lake in Xiamen city.As a result,the spectrum shape in 15-30 kHz is fitted to log-linear law which allows classification of rain into three categories from the spectrum slope:no rain,drizzle(rainfall rate>10 mm/h)and heavy rain(rainfall rate>10 mm/h).Then,rainfall detection is made and rainfall rate is quantified in drizzle time with Logistic model in the frequency bands of 2-15 kHz,and the rainfall rate in heavy rainfall also quantified with log-linear regression.Finally,all measured spectrum data are used to calculate rainfall rate with the algorithm.The results show that the estimated rainfall rates are comparably coincident with the synchronously measured ones.The average error of accumulative rainfall per min is only l%-4%.     

连续激光辐照锗材料损伤的数值模拟研究

 以热传导理论和热弹应力理论为基础,建立了连续平顶激光辐照锗材料的二维非稳态物理模型。对受辐照锗材料的热-力场分布进行数值模拟,比较了激光辐照时间对靶材热-力场分布的影响,探讨了温度场及应力场空间梯度随半径的分布以及激光辐照时间对热-力场空间梯度的影响。计算结果表明,靶材中心温升效应最大,而应力最大值出现在光斑半径外侧;光斑边缘处温度场和应力场梯度绝对值均达到最大,随着辐照时间的延长,材料同一点温度场和应力场梯度均增大。在给定条件下,计算了靶材的损伤时间,应力损伤域值最先达到。     

甲烷再燃还原NO过程中SO2的交互作用

综合Leeds机理,采用Chemkin程序的PFR模块,以Glarborg实验中的柱塞流反应器作为模拟对象,研究了甲烷再燃还原NO过程中SO2交互作用的影响.利用该模型计算甲烷再燃还原NO的结果与Glarborg的实验结果吻合;存在最佳空气过量系数0.8时甲烷再燃还原NO效率最高.进一步分析SO2对再燃还原NO影响的结...     

一种高选择性的Hg2+荧光化学传感器

利用荧光光谱对1-羟基-2-(α-偶氮吡啶)-8-氨基-3,6-萘-二磺酸钠盐(HAANDS)与金属离子的相互作用进行了研究.结果表明,HAANDS对Hg2+具有很好的选择性和灵敏度,表现为“turn-on”的荧光发射即荧光强度增大.     

Theoretical Studies on the Reactions of 1,1,2,2,3,3,4‐Heptafluorocyclopentane with Hydroxyl and Hydrogen Free Radicals

1,1,2,2,3,3,4‐Heptafluorocyclopentane (F7A) has considerable potential to be a new halon replacement due to its environmental friendliness and low‐toxicity. However, the reaction processes of F7A with hydroxyl and hydrogen free radicals, which are of great importance for investigating its fire suppression mechanisms, are still unclear. In this paper, ab inito and density functional theory are used to deduce the possible reaction pathways for the reactions of F7A with hydroxyl and hydrogen free radicals at the CCSD/cc‐pVDZ//B3LYP/6‐311++G (d,p) level of theory. Two distinct reaction pathways including ten elementary reaction channels for F7A with hydroxyl free radical, and five distinct reaction pathways including twenty elementary reaction channels for F7A with hydrogen free radical are investigated. The geometries, vibrational frequencies and reaction energy barriers are also determined. Based on the calculated results, the possible reaction mechanisms are proposed and discussed. The most feasible reaction channel for F7A with hydroxyl free radical is that leads to CH(OH)CH₂(CF₂)₃+·F, and the most feasible reaction channel for F7A with hydrogen free radical is that leads to (CF₂)₃CH₂CH·+HF. The study is helpful to further study its fire suppression mechanisms and promote it to be a new generation of halon replacement.     

超高效液相色谱-线性离子阱/静电场轨道阱质谱快速筛查和确证化妆品中孔雀石绿、结晶紫及其代谢物

采用超高效液相色谱-线性离子阱/静电场轨道阱组合式高分辨质谱联用技术,建立了快速筛查、定性识别化妆品中的孔雀石绿、隐色孔雀石绿、结晶紫和隐色结晶紫的方法。不同剂型的化妆品样品经甲醇提取后,通过静电场轨道阱高分辨质谱全扫描得到目标化合物准分子离子的精确质量数,据此对化妆品进行快速筛查,并用离子阱的二级质谱分析对化合物进行了进一步确认,4种化合物检出限≤5μg/kg。方法适用于化妆品中孔雀石绿、隐色孔雀石绿、结晶紫和隐色结晶紫的快速筛查和确证。     

氯甲烷分子在13至17 eV激发能量范围内的电离解离

利用阈值光电子-光离子符合飞行时间质谱研究了氯甲烷分子在13至17eV激发能量范围内的光电离和光解离动力学.在此能量范围内,电离产生的CH3Cl+离子处于A2A1和B2E电子激发态.两电子态均为完全解离态,可生成CH3+和CH2Cl+碎片离子,其中CH3+是最主要的解离产物.拟合CH3+离子的符合飞行时间质谱峰形,可以得到CH3Cl+离子解离过程中释放的平动能分布,结果显示CH3Cl+离子A2A1态解离生成CH+3的过程接近直接解离机理,而B2E态的解离过程则具有统计解离的特征.此外,结合理论计算的势能面信息,我们推测在A2A1态出现的CH2Cl+碎片离子来源于CH3Cl分子自电离产生高振动激发的CH3Cl+(X2E)离子统计解离过程.     

基于层层自组装技术制备石墨烯/多壁碳纳米管共修饰的过氧化氢传感器的研究

利用阳离子型聚合物聚二烯丙基二甲基氯化铵(PDDA)和功能化的带负电荷的多壁碳纳米管(MWNTs)及石墨烯(GR)之间的静电吸附,通过层层自组装的方法在玻碳电极的表面制备了均一、稳定的(PDDA/GR/PDDA/MWNTs)5多层膜。以交流阻抗及循环伏安等方法对修饰电极的性质进行了表征。结果表明,该电极对过氧化氢(H2O2)的氧化显示出较好的电催化活性,在工作电位为1.0 V,0.067 mol/L磷酸盐缓冲溶液(PBS)中对H2O2响应灵敏度高,检测范围宽,测定H2O2的线性范围为6×10-6~1.4×10-2mol/L(相关系数为0.997)。检出限为1.2×10-7mol/L(S/N=3)。并且表现出良好的稳定性和高选择性。该电极用于实际样品中H2O2的测定,结果令人满意。