对“四舍六入五留双”修约规则的商榷*

数值修约是分析化学教学的重要内容。目前,主流分析化学教材均采用 “四舍六入五留双”数值修约规则。详细剖析了该规则中尾数与进舍条件的关系,指出“四舍六入五留双”修约规则中应采用“尾数的首位”而不是“尾数”设置进舍条件,否则存在逻辑错误。对比分析表明,“四舍六入五留双”以数字4、5和6为比较值设置的修约规则等价于GBT8170—2008国家标准中以数字5为比较值设置的进舍规则,但GBT8170—2008国家标准的进舍规则的逻辑、表述等优于“四舍六入五留双”规则。因此,建议分析化学教材采用GBT8170—2008国家标准规定的数值修约相关内容。     

基于弹性统计理论的硅橡胶纳米复合材料本构关系的建立

基于考虑了悬垂链的橡胶弹性统计模型,通过引入应变放大因子,建立了硅橡胶纳米复合材料的基于微观机制的本构关系,其中利用硅橡胶分子信息(分子量M、乙烯基含量wt_(Vi)%)、乙烯基反应程度(q)估算获得本构方程中的交联点间链段分子量(Mc),网络链(network strands)体积分数(Φ)等参数,通过拟合确定了与纳米粒子相关的部分参数(初始应变放大因子X_0,极限应变放大因子X_∞,衰减因子z),对掺杂白炭黑的单组分及长短链配合硅橡胶拉伸应力-应变数据进行拟合,在采用相同X_∞,z值情形下,拟合曲线仍能与实测值符合较好(拟合的Adj.R-Square值分别为0.99576、0.99596)。基于微观物理机制的本构关系能够成为联系微观分子结构参数与宏观应力的桥梁,本文工作有望为更有针对性地改进和优化硅橡胶的性能提供依据。     

基于数字相干叠加的相干光正交频分复用系统中光纤非线性容忍性研究

光正交频分复用系统中的光纤非线性效应制约着系统进一步的扩容. 针对此问题, 提出一种数字相干叠加的方法, 用于提高相干光正交频分复用系统对光纤非线性的容忍性. 仿真中, 5通道的波分复用下偏振复用相干光正交频分复用系统的每个通道传输四进制正交振幅调制映射的71.53 Gbit/s信号在光纤中传输400 km. 首先, 通道间隔为25 GHz, 与传统相干光正交频分复用系统相比, 色散补偿前后, 使用数字相干叠加的相干光正交频分复用系统的信噪比分别提升了6.02 dB和9.05 dB, 最佳入纤光功率均增大了2 dB; 其次, 通道间隔为50 GHz, 色散补偿前后, 信噪比分别提升了4.9 dB和8.75 dB. 通过理论推导及仿真, 验证了所提方法能有效消除相干光正交频分复用系统的一阶非线性失真, 进而提高系统对光纤非线性的容忍性.     

Opinion Spreading with Mobility on Scale-Free Networks

A continuum opinion dynamic model is presented based on two rules. The first one considers the mobilities of the individuals, the second one supposes that the individuals update their opinions independently. The results of the model indicate that the bounded confidence εc, separating consensus and incoherent states, of a scale-free network is much smaller than the one of a lattice. If the system can reach the consensus state, the sum of all individuals＇ opinion change Oc（t） quickly decreases in an exponential form, while if it reaches the incoherent state finally, Oc（t） decreases slowly and has the punctuated equilibrium characteristic.     

Remarkable salt effect on In-mediated allylation of N-tert-butanesulfinyl imines in aqueous media: highly practical asymmetric synthesis of chiral homoallylic amines and isoindolinones

A highly practical and efficient asymmetric synthesis of chiral homoallylic amines by In-mediated allylation of chiral N-tert-butanesulfinyl imines in aqueous media at room temperature was developed. With 2-formylbenzoate imine substrates, the method allows the highly enantioselective achievement of a variety of pharmacologically important 3-allyl isoindolinone compounds.     

固体酸Amberlyst 15催化合成3-吲哚取代的苯酞类化合物

室温下, 以吲哚和邻甲酰苯甲酸为原料, 通过Amberlyst 15 (15 wt%)催化的傅-克反应, 高产率合成得到一系列3-吲哚取代的苯酞类化合物. 并通过1H NMR, 13C NMR, 红外光谱, 高分辨质谱确证了产物的结构.     

Highly Efficient Asymmetric Synthesis of Enantiopure Dihydro-1,2-oxazines: Dual-Organocatalyst-Promoted Asymmetric Cascade Reaction

A one-pot dual-organocatalyst-promoted asymmetric α-aminoxylation/aza-Michael/aldol consendation cascade reaction is presented. The targeted optically active 1,2-oxazine derivatives are synthesized in moderate yields (up to 70%), excellent enantioselectivities (ee >99% in all cases), and excellent diastereoselectivities (dr up to >99:1) under mild conditions. To further elucidate the synthetic utility of the cascade products, cleavage of the N-O bond is demonstrated and an enantiopure syn-1,4-amino alcohol derivative is achieved in excellent yield.     

Impulsive control of chaotic systems with exogenous perturbations

The impulsive control of chaotic systems, which are subjected to unbounded exogenous perturbations, is considered. By using the theory of impulsive differential equation together with the fuzzy control technique, the authors propose an impulsive robust chaos controlling criterion expressed as linear matrix inequalities (LMIs). Based on the proposed control criterion, the procedure for designing impulsive controllers of common (perturbed) chaotic systems is provided. Finally, a numerical example is given to demonstrate the obtained theoretical result.     

Establishment of Constitutive Model of Silicone Rubber Foams Based on Statistical Theory of Rubber Elasticity

In this study, a constitutive model based on microscopic physical mechanism of silicone rubber foams was established. A theoretical statistical model of rubber elasticity considering the effect of dangling chains was modified to build this model. When a strain amplification factor(X) was introduced, the theoretical model could fit the tensile stress-strain data of mono-and bi-modal foam matrix well(Adj. R-Square = 0.9989, 0.9983). Parameters related to the polymer network, namely, average molecular weight(Mc) and volume fraction(ф) of chain segments between adjacent cross-linking points(network strands), were calculated by probabilistic method from the number-average molecular weight(Mn), vinyl content(w Vi) of the primary polysiloxanes and percent conversion(q) of vinyl groups. The primary and infinite strain amplification factors(X0, X∞) and decay exponent(z), introduced by X and related to the nanoparticles, were obtained by fitting. Inspired by the fact that the actual strain of matrix was lower than that of the foams', we introduced another item, strain hysteresis item(H, related with the foam porosity and cell structure), into the statistical model as well. With the same above values of Mc,ф, X0 and X∞, the model could also fit the compressive stress-strain data of mono-and bi-modal foams well(Adj. R-Square = 0.9948,0.9985). Interestingly, the strain hysteresis items of the mono-and bi-modal foams almost completely coincided under all experimental strains, which may be attributed to the almost equal porosity and similar cell structure of the two foams. This constitutive model may connect the macroscopic stress-strain behaviour to the parameters of microscopic molecular structures, promisingly providing a basis for the performance improvement and optimization of silicone rubber foams.     

An efficient access to N-tert-butanesulfinyl aldimines in water: Application to one-pot synthesis of homoallylic amines, (+)-crispine A and (−)-coniine

An Efficient method for the syntheses of N-tert-butanesulfinyl aldimines in water was developed using Amberlyst-15 as catalyst. Subsequently, chiral homoallylic amines were synthesized in one pot from aldehydes by combining with In-promoted allylation in aqueous media. The total syntheses of (+)-Crispine A and (?)-Coniine were conducted to demonstrate the utility of this one-pot approach.