HYPERFINITE TRANSVERSAL THEORY. II

We continue the investigation of validity of Hall's theorem in the case of the Loeb space of an internal, uniformly distributed, hyperfinite measure space initiated in1992 by the author. Some new classes of graphs are introduced for which the measure theoretic version of Hall's theorem still holds.

     

Maximal Lyapunov exponent and rotation numbers for two coupled oscillators driven by real noise

Asymptotic expansions for the exponential growth rate, known as the Lyapunov exponent, and rotation numbers for two coupled oscillators driven by real noise are constructed. Such systems arise naturally in the investigation of the stability of steady-state motions of nonlinear dynamical systems and in parametrically excited linear mechanical systems. Almost-sure stability or instability of dynamical systems depends on the sign of the maximal Lyapunov exponent. Stability conditions are obtained under various assumptions on the infinitesimal generator associated with real noise provided that the natural frequencies are noncommensurable. The results presented here for the case of the infinitesimal generator having a simple zero eigenvalue agree with recent results obtained by stochastic averaging, where approximate ItÔ equations in amplitudes and phases are obtained in the sense of weak convergence.Dedicated to Thomas K. Caughey on the occasion of his 65th birthday.     

固相萃取/液相色谱-串联质谱法测定食品中二甲基黄

建立了液相色谱-串联质谱(LC-MS/MS)测定食品中二甲基黄(DMY)的分析方法。样品经乙酸乙酯提取,二甲基黄专用固相萃取小柱(ProElut DMY SPE)净化,XDB-C18色谱柱(50 mm×4.6 mm,1.8μm)分离,并以5mmol/L乙酸铵水溶液(含0.1%(v/v)甲酸)-乙腈(含0.1%(v/v)甲酸)为流动相,梯度洗脱,电喷雾正离子模式(ESI~+)电离,多反应监测模式(MRM)检测,内标法定量。结果表明,DMY在0~50μg/L范围内线性关系良好,相关系数(r~2)均大于0.999。方法的检出限(LOD,S/N3)和定量限(LOQ,S/N10)分别为2μg/kg和10μg/kg。不同食品基质中,DMY在10、20和100μg/kg的添加水平下的平均加标回收率为93.3%~98.9%,相对标准偏差为1.6%~3.9%(n=6)。该方法有效补偿了液相色谱-串联质谱检测过程中的离子化抑制效应,灵敏度和准确度高,适用于腐乳、辣椒酱、禽蛋、豆干、糖果和火腿中DMY的测定。     

Tuning Internal Strain in Metal–Organic Frameworks via Vapor Phase Infiltration for CO2 Reduction

A gas‐phase approach to form Zn coordination sites on metal–organic frameworks (MOFs) by vapor‐phase infiltration (VPI) was developed. Compared to Zn sites synthesized by the solution‐phase method, VPI samples revealed approximately 2.8 % internal strain. Faradaic efficiency towards conversion of CO₂ to CO was enhanced by up to a factor of four, and the initial potential was positively shifted by 200–300 mV. Using element‐specific X‐ray absorption spectroscopy, the local coordination environment of the Zn center was determined to have square‐pyramidal geometry with four Zn?N bonds in the equatorial plane and one Zn‐OH₂ bond in the axial plane. The fine‐tuned internal strain was further supported by monitoring changes in XRD and UV/Visible absorption spectra across a range of infiltration cycles. The ability to use internal strain to increase catalytic activity of MOFs suggests that applying this strategy will enhance intrinsic catalytic capabilities of a variety of porous materials.     

高内相乳液法制备整体柱及其分离性能研究

建立了高内相乳液(HIPE)法制备以甲基丙烯酸十二烷酯为功能单体(LMA),二乙烯基苯(DVB)为交联剂的新型毛细管电色谱整体柱。polyHIPE整体柱利用扫描电镜与BET进行了表征,表明了制备的整体柱具有较大的孔径与较好的比表面积,更好的通透性,可更好地满足高效快速分离分析的需要。实验中K2S2O8不仅可以作为引发剂,同时加热后残基能为固定相提供电渗流。优化表面活性剂span80含量、W/O比例对整体柱制备的影响,以硫脲与苯系物为目标化合物考察了整体柱的分离性能与效果。该方法用实际水样品苯系物分析,取得良好的效果。     

高效液相色谱串联质谱测定蜂蜜、蜂王浆中氯霉素残留

前处理方法包括添加同位素内标氯霉素-d5和采用10％偏磷酸沉淀蜂王浆产品中的蛋白质,上清液经乙酸乙酯提取,自制硅胶柱和Oasis小柱净化。净化后的提取溶液用高效液相色谱-电喷雾电离质谱检测,多反应监测3对离子（321．0／256．9、321．0／194．0、321．0／175．8）。该方法对不同基质样品的加标回收率为91％-107％;相对标准偏差小于10％;蜂蜜和蜂王浆的方法检出限分别为0．1μg／kg和0．2μg／kg。     

二氧化硅分子配分函数的研究

在低温20K到高温6000K温度范围内,计算了¹⁶O²⁸Si¹⁶O分子稳定结构的的总配分函数.其中,转动配分函数考虑了离心扭曲修正,振动配分函数采用谐振子近似.把20—6000K的温度范围划分为五区间段,计算的总配分函数在这五个温度区间分别被拟合到一个温度T的四阶多项式,从而在每个区间均得到五个拟合系数.由这些拟合系数就可以快速、准确地获得分子在所研究温度范围内任意温度的总的配分函数. 关键词： 总配分函数 二氧化硅分子 转动配分函数 振动配分函数     

Torsional splittings in the diode laser slit-jet spectra of the ν6 fundamental of 1-chloro-1,1-difluoroethane (HCFC-142b)

High resolution infrared spectra (0.001 cm⁻¹ FWHM) have been measured for mixtures of 1-chloro-1,1-difluoroethane in Ne, expanded in a supersonic planar jet. The ν₆ fundamental, infrared active with a dominant parallel transition moment, exhibits a remarkable splitting of about 0.035 cm⁻¹ for both ³⁵Cl and ³⁷Cl isotopomers. Several mechanisms of interaction of ν₆ with states with high torsional excitation are critically examined to explain the observed effect. It is concluded that the observed torsional splitting patterns can be explained in terms of a torsional Coriolis interaction between ν₆ and a highly excited torsional mode, 6ν₁₈. A full numerical analysis, performed including a torsional Coriolis term in the Hamiltonian, shows that the interaction mechanism requires a torsional barrier height of about 1270 cm⁻¹.     

基于模场自积增强检测的光纤声光旋转传感器

介绍了一种应变不敏感的基于模场自积增强检测的光纤声光旋转传感器.通过调节加载到光纤声致光栅上的微波频率能使双模光纤输出高纯度LP_(11)模式.采用自积增强算法显著提高传感分辨比例,改善探测速度,实现对环境旋转角度变化的动态监测.传感器在0°—180°的测量范围内,角度最大测量误差范围小于11%;在轴向应变为100—1500με之间对应变不敏感.     

粒子与聚合物协同稳定高内相Pickering乳液

选用二氧化硅纳米粒子(H30)和聚(乳酸-羟基乙酸)共聚物(PLGA)为复合稳定剂, 成功制备出内相体积分数高达90%的高内相Pickering 乳液. 对照实验表明: 单独用H30粒子作稳定剂, 内相体积分数上限为75%; 单独用PLGA 作稳定剂, 发生严重相分离, 不能形成乳液. 无机纳米粒子与聚合物之间的协同作用在制备高内相乳液的过程中起到了关键作用. 因此, 使用无机粒子和聚合物作为混合稳定剂制备高内相乳液是一种新型而有效的方法.