Higher order dispersive effects in regularized Boussinesq equation

In this paper, we consider the higher order Boussinesq (HBq) equation which models the bi-directional propagation of longitudinal waves in various continuous media. The equation contains the higher order effects of frequency dispersion. The present study is devoted to the numerical investigation of the HBq equation. For this aim a numerical scheme combining the Fourier pseudo-spectral method in space and a Runge–Kutta method in time is constructed. The convergence of semi-discrete scheme is proved in an appropriate Sobolev space. To investigate the higher order dispersive effects and nonlinear effects on the solutions of HBq equation, propagation of single solitary wave, head-on collision of solitary waves and blow-up solutions are considered.     

基于MC-ZF-HD-DS的高端装备制造企业持续创新能力评价研究

为客观和准确地评价高端装备制造企业的持续创新能力,建立了高端装备制造企业持续创新能力评价指标体系,采用MC-ZF-HD-DS对具体的高端装备制造企业持续创新能力进行评价。通过模糊粗糙集法对高频海选评价指标进行筛选,采用极差最大化组合赋权法对已筛选出的指标体系进行赋权,运用灰色定权聚类对评价对象进行聚类,在此基础上,运用证据理论对聚类结果进行合成,形成最终评价结果,最后通过实证分析验证了该方法的可行性和有效性。     

基于动态参照点的损失厌恶投资组合优化模型

在连续时间下,考虑损失厌恶投资者参照点的动态调整特征,构建基于动态参照点的损失厌恶投资组合模型,使用鞅方法对模型进行求解,得到最优风险资产权重的解析表达式。并计算损失厌恶投资者在参照点动态调整条件下的预期最优期末财富。进一步应用数值算例,分析投资者的参照点动态调整幅度和损失厌恶水平对模型最优风险资产权重和预期最优期末财富的影响。     

水溶性苝系衍生物荧光探针识别金属离子的光物理机制计算研究

随着人们对荧光化合物电子光谱和光物理行为的深入研究,在利用荧光分子作为探针,检测各种不同体系的状态及其变化等方面都有了巨大的进展。其中,N,N′-二天冬氨酸铵盐-3,4,9,10-四羧酸二酰亚胺(PTCDA)是一种水体环境中选择性好灵敏度高的典型荧光分子探针。本文用密度泛函理论对PTCDA的光物理机制进行研究。计算了PTCDA分子在理想状态下的最优构型,电荷布居和激发光谱。根据计算结果,拟合此苝系衍生物激发态与Cu2+结合前后的吸收光谱,与Cu2+结合前后,吸收光谱峰形相似,加铜后整体吸收峰位发生了红移,有猝灭变色现象。通过与实验值的对比,计算所得分子构型合理有效,激发光谱谱峰位置切合实际。分析得出：PTCDA分子对二价铜离子有较好荧光探测活性,其光信号响应机制属于分子内电荷转移(ICT)机制。当分子接收二价铜离子时,吸收光谱谱峰位置红移,分子内电荷转移方向和强度均发生变化,既有猝灭信号,也有光的颜色变化信号,是一种具有猝灭与变色双信号的荧光探针材料,具有很大的开发潜力。所做工作只是用量子化学计算方法在分子荧光探针领域进行光物理响应机制分析的初步探索,可以为该领域提供系统而有价值的理论参考。     

HR-ICP-MS研究丰水期黄河甘宁蒙段过滤水和悬浮物中重金属的含量特征和污染评价

为研究黄河甘宁蒙段丰水期过滤水和悬浮物中重金属的含量特征及污染状况,采用高分辨电感耦合等离子体质谱仪(HR-ICP-MS)对黄河甘宁蒙段昭君浮桥 (S1)、包头浮桥(S2)等10个采样点过滤水中六种重金属(Cd, Pb, Cr, As, Cu和Zn)及悬浮物中九种重金属(Cd, Pb, Cr, Ni, Cu, V, Co, Zn和Mn)的含量特征、污染评价和源分析进行研究。结果表明：(1)过滤水中只有Cr元素含量在所有采样点超出《地表水环境质量标准》(GB3838—2002) 的标准限值,且在10个采样点中均为最高(74.8～94.7 μg·L-1);单因子指数(I_i)评价结果表明除包头浮桥(S2)未受总氮(TN)污染外,其余采样点水质均受Cr元素和TN污染;内梅罗综合指数法(I)得出所有采样点的I值均在1～2之间(轻污染程度),表明黄河甘宁蒙段水质,尤其是下游段(S1～S6)已不是生活饮用水、水产养殖等的理想水源。(2)悬浮物中Ni含量(34.7 μg·L-1) 只在玛曲点(S10)低于中国土壤元素背景值(35.2 μg·L-1),在其余点均高于背景值,而其余八种元素在10个采样点的含量均高于背景值;地累积指数法(I_geo)结果表明九种元素中Cd元素的I_geo值(0.452～2.89)在10个采样点中均为最高值,且在昭君浮桥(S1)、包头浮桥(S2)、乌海(S5)和东大沟入黄河口(S8)这四个采样点处达到中污染-重污染程度,其余八种元素在各采样点的I_geo值均小于1,为无污染或无污染-中污染程度。研究结果为全面研究该流域重金属分布、迁移及有效保护提供可信的实验数据。     

对称零面积变换结合L-M拟合自动识别重叠光谱峰

Raman光谱分析中,由于仪器光谱分辨率的限制和复杂的目标成分,经常存在着谱峰重叠现象。容易导致谱峰参数提取乃至样品成分分析错误,更为现场光谱的自动分析处理增加了难度。重叠光谱峰的识别已成为现场光谱学处理的难点,针对这个问题,建立了一套自动识别重叠谱峰的方法：以多个高斯峰的组合作为重叠光谱解析模型,首先以对称零面积变换寻峰方法确定高斯峰的个数和初步的峰位、峰高、宽度参数,并以Levenberg-Marquardt方法对获得的初始高斯峰参数进行拟合优化,最终获得各个独立谱峰的拟合参数。对该方法进行了测试,其中以仿真数据进行的算法实验证明,对称零面积变换寻峰获得的初始参数与真实值较为接近,在此基础上进行的参数优化收敛速度快,对峰参数的提取可获得较高的准确度;以具有不同信噪比的实测Raman光谱数据进行的算法实验证明,该方法可以适用于信噪比在较大范围变化的信号,但对信噪比过低的实测信号则容易产生虚假峰和漏峰。研究证明,以对称零面积变换寻峰结合L-M拟合自动识别重叠光谱峰的方法具有一定的实用价值。     

黄河甘宁蒙段表层沉积物中重金属元素含量及其形态分析

到目前为止,关于水环境中重金属浓度和形态分布的研究有许多报道。但是关于黄河上游,特别是对黄河甘宁蒙段区域重金属的研究报道仍需进一步深入。在相关研究工作的基础上,使用HR-ICP-MS和BCR连续提取法主要对2011年丰水期黄河甘宁蒙段12个采样点表层沉积物Cd,Pb,Cr,V,Co,Ni,Cu和Zn重金属元素的含量,形态和潜在风险进行测定与分析。结果表明：所有采样点各重金属元素含量顺序相同：Cr>V>Zn>Cu>Ni>Pb>Co>Cd,与各采样点所在区域土壤中背景值相比,S5采样点Cd元素的含量水平最高(1.30 μg·g-1) 约为背景值(0.103 μg·g-1)的13倍。通过I_geo对重金属进行污染评价,结果显示S5采样点Cd元素为强污染水平(I_geo=3.08),内蒙古段四个采样点(S1—S4)Cd表现为中强度污染水平,I_geo位于2.02~2.90之间;此外,富集因子(EF)评价结果发现,研究区域表层沉积物中八种重金属均受到人为活动的污染。根据潜在生态风险指数(RI)结果,S5和S3采样点为高生态风险,其他采样点为中等生态风险。BCR连续提取法结果显示Cd的有效性最高,其次为Co和Ni,V和Cr有效性最低。根据形态分析风险评估准则 (RAC),Cd在S1—S4采样点有高风险,在S5采样点有很高风险;而对于Ni和Co来说,12个采样点中均表现为中等风险。研究结果和结论可为相关政府部门提供重要的研究信息。     

Co‐Continuous Polymeric Nanostructures via Simple Melt Mixing of PS/PMMA

Blends of polystyrene/poly(methyl methacrylate) (PS/PMMA) (30/70) prepared by simple melt mixing form a droplet (PS) in‐matrix (PMMA) morphology. It is found that addition of a carefully designed copolymer PS‐b‐P(S‐ran‐MMA) (SSM) compatibilizer could convert the morphology into a co‐continuous system. Indeed, the continuity of the dispersed PS phase increased with an increase in PS‐b‐P(S‐ran‐MMA) content, and a fully co‐continuous morphology (continuity = 100%) was obtained at 20% SSM fraction with a characteristic size of 100 nm.

     

Study on the photocatalytic activity of K2La2Ti3O10 doped with zinc(Zn)

The layered perovskite type oxides, K₂La₂Ti₃O₁₀ and zinc(Zn)-doped K₂La₂Ti₃O₁₀ were prepared by sol-gel method and were characterized by power X-ray diffraction, UV-vis diffuse reflectance and X-ray photoelectron spectroscopy. The photocatalytic activity for water splitting of the catalyst powders was investigated with I⁻ as electron donor under ultraviolet and visible light irradiation respectively. The electronic structure of the powders has been analyzed by the first principles calculation, which reveals the photo responses in the visible region and the improvement of the photocatalytic activity of K₂La₂Ti₃O₁₀. Conclusions were made that zinc(Zn)-doped K₂La₂Ti₃O₁₀ exhibited higher reactivity for hydrogen production. When I⁻ was used as electron donor, the optimum doping concentration of zinc(Zn) was found to be 0.015:1 (n_Zn:n_Ti). The average hydrogen production rates were 126.6 μmol/(gcat h) under ultraviolet irradiation and 55.5 μmol/(gcat h) under visible light irradiation which were raised by 131% and 251% compared with undoped K₂La₂Ti₃O₁₀ photocatalyst, respectively.     

The low temperature synthesis of Euand Dy activated Sr3Al2O6 nanophosphors by microwave method

The Eu²⁺and Dy³⁺ activated Sr₃Al₂O₆ (S3A2O-ED) nanophosphors were synthesized by a new microwave method. The S3A2O-ED sample calcined in microwave oven at around 650 °C for 20 min possesses a cubic Sr₃Al₂O₆ single phase. The sample showed small size (80–100 nm) and spherical shape. The excitation and emission spectra indicated that excitation broad band chiefly sited in visible range and the nanophosphors emitted strong light at 611 nm under around 473 nm excitation. Comparing with conventional method, the microwave synthesis of S3A2O-ED greatly decreased the calcining temperature and time. However, the brightness of S3A2O-ED nanophosphors was reduced. The change of luminescent intensity in S3A2O-ED nanophosphors could be attributed to the effect of surface energy.