Pretreating near infrared spectra with fractional order Savitzky–Golay differentiation(FOSGD)

With the aid of Riemann–Liouville fractional calculus theory,fractional order Savitzky–Golay differentiation(FOSGD) is calculated and applied to pretreat near infrared(NIR) spectra in order to improve the performance of multivariate calibrations.Similar to integral order Savitzky–Golay differentiation(IOSGD),FOSGD is obtained by fitting a spectral curve in a moving window with a polynomial function to estimate its coefficients and then carrying out the weighted average of the spectral curve in the window with the coefficients.Three NIR datasets including diesel,wheat and corn datasets were utilized to test this method.The results showed that FOSGD,which is easy to compute,is a general method to obtain Savitzky–Golay smoothing,fractional order and integral order differentiations.Fractional order differentiation computation to the NIR spectra often improves the performance of the PLS model with smaller RMSECV and RMSEP than integral order ones,especially for physical properties of interest,such as density,cetane number and hardness.     

多种分子光谱快速分析黄芩中的黄芩苷含量

为考察根据不同类型光谱信息进行黄芩质量快速分析的适应性,采用高效液相色谱(HPLC)法测定了73批黄芩样品中的黄芩苷含量并作为y值,以各样品的近红外、紫外-可见光谱及包含紫外、可见及近红外的多源复合光谱信息作为x值;根据各类光谱信息分别采用偏最小二乘回归(PLSR)与K最近邻样本保形映射(KNN-KSR)方法进行样品中黄芩苷的预测,根据验证集样本真实值与预测值的均方根偏差(RMSEP)、平均相对误差(MRE)与相关系数(R)评价预测精度。结果表明,采用KNN-KSR方法根据各类光谱信息预测黄芩苷时,各项指标均优于PLSR方法的结果;其中基于近红外光谱对黄芩苷的分析结果最好,紫外-可见光谱次之,基于多源复合光谱信息对黄芩苷的预测误差最大,但其MRE仍在6%以下,可满足工业分析的精度要求。由于多源复合光谱仪具有体积小、重量轻、成本低及便携等优点,通过优化仪器波长范围及建模方法,有望改进该仪器的分析精度,使之适应更多药材现场采购的快速检测及后续产品的质量分析与监控需求。     

拉曼光谱子空间重合识别修正液中氯代烃

利用拉曼光谱子空间重合对修正液中氯代烃成分进行识别分析。通过计算混合卤代烃组分与标准样品数据库拉曼光谱之间的子间空夹角,依据夹角变化排列筛选出含有最少标准样品数目的子空间,该子空间所含的标准样品组成为待定性混合氯代烃组成,从而实现对混合氯代烃组分的定性分析。将该方法用于修正液中氯代烃的成分定性分析,准确率达100%。该方法操作简单,检测时间短,准确率高,适用于多组分混合体系中的物质定性分析。     

1,3,5,7-四甲基氟硼二吡咯甲川的合成、晶体结构及密度泛函理论研究

以2,4-二甲基吡咯、原甲酸三乙酯以及对甲苯磺酸为原料,无溶剂下合成了1,3,5,7-四甲基对甲苯磺酸二吡咯甲川(T1);以T1、三氟化硼乙醚以及三乙胺为原料,无溶剂下合成了1,3,5,7-四甲基氟硼二吡咯甲川(F1)。利用1H NMR和X射线单晶衍射对其进行了表征。结果表明:T1属于单斜晶系,P21/c空间群,晶胞参数为a=0.777 3(3)nm,b=1.518 5(5)nm,c=1.612 2(5)nm,β=91.923(12)°,V=1.901 9(11)nm3,Z=4;F1属于单斜晶系,P21/n空间群,晶胞参数为a=0.775 02(1)nm,b=1.444 20(3)nm,c=1.174 35(2)nm,β=107.779 5(9)°,V=1.251 65(4)nm~3,Z=4。在4种不同溶剂中,测定了T1的紫外可见光谱、F1的紫外可见光谱和稳态荧光光谱。将密度泛函计算与前线轨道理论相结合,研究了T1和F1可能的衍生方式。     

N-dimensional Schrödinger equation at finite temperature using the Nikiforov–Uvarov method

The N-radial Schrödinger equation is analytically solved. The Cornell potential is extended to finite temperature. The energy eigenvalues and the wave functions are calculated in the N-dimensional form using the Nikiforov–Uvarov (NV) method. At zero temperature, the energy eigenvalues and the wave functions are obtained in good agreement with other works. The present results are applied on the charmonium and bottomonium masses at finite temperature. The effect of dimensionality number is investigated on the quarkonium masses. A comparison is discussed with other works, which use the QCD sum rules and lattice QCD. The present approach successfully generalizes the energy eigenvalues and corresponding wave functions at finite temperature in the N-dimensional representation. In addition, the present approach can successfully be applied to the quarkonium systems at finite temperature.     

Corona[5]arenes Accessed by a Macrocycle-to-Macrocycle Transformation Route and a One-Pot Three-Component Reaction

Corona[5]arenes, a novel type of macrocyclic compound that is composed of alternating heteroatoms and para-arylenes, were synthesized efficiently by two distinct methods. In a macrocycle-to-macrocycle transformation approach, S₆-corona[3]arene[3]tetrazine underwent sequential S_NAr reactions with HS-C₆H₄-X-C₆H₄-SH (X=S, CH₂, CMe₂, SO₂, and O) to produce the corresponding corona[3]arene[2]tetrazines. Different corona[3]arene[2]tetrazine compounds were also constructed in a straightforward manner by a one-pot three-component reaction of HS-C₆H₄-X-C₆H₄-SH (X=S, CH₂, CMe₂, SO₂, and O) with diethyl 2,5-dimercaptoterephthalate and 2 equiv of 3,6-dichlorotetrazine under very mild conditions. All corona[5]arenes adopted 1,2,4-alternate conformational structures in the crystalline state yielding similar nearly regular pentagonal cavities. Both the cavity size and the electronic property of the acquired macrocycles were fine-tuned by the nature of the bridging element X.     

Quasi-compact operator,pseudo-essential spectra and some perturbation results

In this paper, we use the concept of quasi-compact operators, as a generalization of the class of Riesz operators, to improve the definition of the pseudo-Schechter essential spectrum of a closed densely defined operator acting on Banach space. Moreover, we discuss the incidence of some perturbation results on the behavior of pseudo-essential spectra of the sum of two bounded linear operators.     

Totally ordered sets and the prime spectra of rings

Let T be a totally ordered set and let D(T) denotes the set of all cuts of T. We prove the existence of a discrete valuation domain O_v such that T is order isomorphic to two special subsets of Spec(O_v). We prove that if A is a ring (not necessarily commutative), whose prime spectrum is totally ordered and satisfies (K2), then there exists a totally ordered set U?Spec(A) such that the prime spectrum of A is order isomorphic to D(U). We also present equivalent conditions for a totally ordered set to be a Dedekind totally ordered set. At the end, we present an algebraic geometry point of view.     

横观各向同性层状场地对入射SH波的响应分析

本文采用横观各向同性层状弹性模型模拟半空间之上的层状了，推导了在ＳＨ波入射时这种场地土的动力刚度矩阵及基岩输入运动时场地呼应的计算公式，算例表明，横观各向同性层状场地与各向同性层状了频谱特性有明显的区别，应当引起重视。