Calculation of the coefficients of the characteristic polynomial from its subgraphs

The characteristic polynomial associated with π-electrons of conjugated molecules are discussed by using subgraphs derived from molecular graphs as a basis for their construction. A practical method has been developed for evaluating the coefficient a_K of conjugated molecules. Applying this method, the general formulas of evaluating the coefficient a_K for homologous conjugated molecules have been obtained. The approach is illustrated on a few simple conjugated systems, including also a few polymeric systems. © 1996 John Wiley & Sons, Inc.     

Poly(thiophenes) derivatized with linear and macrocyclic polyethers: from cation detection to molecular actuation

The association of linear or macrocyclic polyethers with the electronic properties of the π-conjugated polythiophene backbone leads to functional conducting polymers that exhibit metal cation dependent electronic properties. Based on this concept, various classes of cation sensors have been proposed and investigated for almost two decades. The interactions of metal cations with linear or macrocyclic polyether functional groups lead to modifications of the electronic properties of the π-conjugated backbone through various mechanisms including direct electronic effects on a single conjugated chain, collective electrochemical processes, or conformational changes. Conjugated polymers and oligomers representative of these various processes are discussed with an emphasis on recent examples of derivatized conjugated systems in which the interactions between metal cations and polyether groups serve as driving force to create molecular motion in conjugated systems.     

Molecular mechanics (MM3) calculations on conjugated hydrocarbons

The MM3 molecular mechanics program has been extended to conjugated systems. A VESCF method is applied to the pi-system to calculate bond orders, from which various stretching and torsional parameters are obtained. The procedure gives somewhat better results than the analogous MM2 calculations. It has been applied to a study of 81 compounds of aromatic and other conjugated hydrocarbons, as well as 45 alkenes and unconjugated polyenes. The structures calculated are generally in good agreement with experiment, and the heats of formation of these compounds can be calculated with a rms value of 0.62 kcal/mol, which may be compared with the average experimental error of 0.61 kcal/mol. In addition, vibrational frequencies for five representative conjugated model structures are calculated, with an rms value of 46 cm^?1, and from these, other properties such as entropy can be calculated.     

分子图导图在求本征多项式系数中的应用

本文以分子图的导图为基本图来讨论分子的拓扑性质。找到了应用分子图导图求共轭分子a_k一般表示式的实用方法。应用这种方法求出了常见同系列共轭分子a_k的一般表示式。     

Resonance energy of very large benzenoid hydrocarbons

The resonance energy of conjugated benzenoid systems is expressed as contributions arising from independent conjugated circuits. The scheme has been applied to numerous very large conjugated systems. In many cases, it was possible to find regularities in the increments for the resonance energy within a family of benzenoid systems as the number of benzene rings is increased.     

Non-Condon效应对电子转移速率影响的理论模拟及其在有机半导体中的应用

随着Condon近似下各种电子转移理论的不断发展与完善和人们对non-Condon效应在电子转移过程中重要作用认识的逐步深入,已建立了几个理论模型来研究这种效应对电子转移速率的影响.本文主要总结了近两年来我们在non-Condon效应电子转移理论方面的工作,首先阐述了指数型、高斯型以及直线型non-Condon电子转移速率的全量子表达式,然后运用该理论模型以及分子动力学模拟计算了二噻吩四硫富瓦烯（DT-TTF）有机半导体的迁移率.此外,还进一步利用数值模拟详细研究了这三种线型的non-Condon效应在量子尺度上对电子转移速率的影响.     

简单Hückel分子轨道理论判断H4分子及离子的几何构型

简单Hückel分子轨道理论是结构化学课程内容的主要知识点之一,主要用于计算π电子成平面分布的离域体系的电子结构和轨道能量。本文把该理论推广到H_4非离域体系,定性地计算H_4非离域体系的轨道能量,帮助学生理解Walsh规则应用举例中难以理解的H_4构型为直线型,但H_4~+为四面体构型的原因。     

An elongation method for first principle simulations of electronic structures and electron transport properties of finite nanostructures

An effective elongation method has been developed to study electronic structures and electron transport properties of nanoelectronic and bioelectronic devices at a hybrid density functional theory level. It enables to treat finite nanostructures consisting of as many as 28 000 electrons and has been successfully applied to sub-120-nm-long conjugated polymers, sub-60-nm-long single-walled carbon nanotubes, and 30 base-pair DNA molecules. The calculated current-voltage characteristics of different systems are found to be in good agreement with the experiments. Some unexpected behaviors of these nanosized devices have been discovered.     

Novel chemical cyclization routes to prepare ladder-type conjugated molecules

Novel chemical cyclization methods using BBr₃ and fluoride have been successfully developed to produce ladder-type conjugated molecules. Both electron rich and electron poor conjugated polymers were readily prepared by BBr₃-promoted cyclization method both in solution and on film. Extension of the π-conjugated systems caused by their rigid planar structures was confirmed by the absorption or emission spectroscopy. A fluoride-induced aromatic cyclization method was also developed and an application to fluoride ion sensing scheme was suggested.     

Ab initio SCF calculations of the linear infinite chain of LiH according to the pseudo-lattice method

The pseudo-lattice (PL) method has been reformulated for ab initio self-consistent-field (SCF) calculations. The translational symmetries of infinite systems have been applied to the finite model chain by manipulating all the intramolecular and intermolecular Fock matrices. The nuclear repulsion energy has been corrected accordingly. The method has been tested for the linear chain of lithium hydride under the constraint of equidistance between all neighboring lithium and hydrogen atoms. The calculated results of the infinite chain have been compared with those of finite chains of lithium hydride under the same geometric constraint. The equilibrium geometries, band structures, intermolecular stabilization energies and potential curves have been studied. It is found that the infinite systems cannot be described by considering only first nearest neighbor interactions, and the intermolecular interactions must be considered at least up to third nearest neighbors in order to obtain accurate value of force constant of infinite systems. We can conclude from band structures of infinite chains that the boundary effect of the finite model chain is effectively removed by the PL method.     

结构相角二阶代数式的应用：Ⅱ.正交空间群二阶式及其应用

以作者在前文中提出的单相角二阶代数式的推导方法为依据,在完成三斜、单斜空间群推导结果的基础上,进而又完成了正交晶系59个空间群二阶式的推导,从而提供了低级晶系(三斜、单斜和正交)全部74个空间群的简明、完备的二阶代数式运算用表。对三个晶体结构进行了相角估算,结果较好。文中提出了代数法应用的新特点,即“一种类型相角可用多种二阶式求得,多种类型相角也可用一种二阶式求算”。     

Crystallinity Regulation and Defects Passivation for Efficient and Stable Perovskite Solar Cells Using Fully Conjugated Porous Aromatic Frameworks

Fully conjugated porous aromatic frameworks (PAFs) have been constructed through Gilch reaction. The obtained PAFs have rigid conjugated backbones, high specific surface area, and excellent stability. The prepared PAF-154 and PAF-155 have been successfully applied in the perovskite solar cells (PSCs) by doping into the perovskite layer. The champion PSC devices afford a power conversion efficiency of 22.8 % and 22.4 %. It is found that the PAFs can be used as an efficient nucleation template, thus regulating the perovskite crystallinity. Meanwhile, PAFs can also passivate defects and promote carriers transporting in the perovskite film. By the comparative study with their linear counterpart, we unravel that the efficacy of PAFs is highly related to their porous structure and rigid fully conjugated networks. The unencapsulated devices with PAFs doping exhibit outstanding long-term stability, retaining 80 % of their initial efficiencies after half-year storage in ambient conditions.     

Electron density based characterization of π bonds in planar molecules

A new method has been developed to detect and analyze molecular π systems. The concept of bonding critical point is generalized to electronic π systems, and it is shown how a π bond can be characterized via the corresponding bond critical point (BCP) in planar molecules. In this context, charge density and its Laplacian at the BCP(π) of a strongly delocalized π system can be distinguished from that of a localized one. The presented formalism is applied to three types of nanoconductors as conjugated polyenes, which revealed the alternative pattern of the double bonds. Also, several cyclic conjugated molecules are considered to explore their π electronic structure and aromaticity.     

Prediction of molecular properties including symmetry from quantum-based molecular structural formulas, VIF

Structurally covariant valency interaction formulas, VIF, gain chemical significance by comparison with resonance structures and natural bond orbital, NBO, bonding schemes and at the same time allow for additional prediction such as symmetry of ring systems and destabilization of electron pairs with respect to reference energy of -1/2 Eh. Comparisons are based on three chemical interpretations of Sinano?lu's theory of structural covariance: (1) sets of structurally covariant quantum structural formulas, VIF, are interpreted as the same quantum operator represented in linearly related basis frames; (2) structurally covariant VIF pictures are interpreted as sets of molecular species with similar energy; and (3) the same VIF picture can be interpreted as different quantum operators, one-electron density or Hamiltonian; for example. According to these three interpretations, bond pair, lone pair, and free radical electrons understood in terms of a localized orbital representation are recognized as having energies above, below, or equal to a predetermined reference, frequently-1/2 Eh. The probable position of electron pairs and radical electrons is predicted. The selectivity of concerted ring closures in allyl anion and cation is described. Symmetries of conjugated ring systems are predicted according to their numbers of pi-electrons and spin-multiplicity. The pi-distortivity of benzene is predicted.The 3c/2e- H-bridging bonds in diborane are derived in a natural way according to the notion that the bridging bonds will have delocalizing interactions between them consistent with results of the NBO method. Key chemical bonding motifs are described using VIF. These include 2c/1e-, 2c/2e-, 2c/3e-, 3c/2e-, 3c/3e-,3c/4e-, 4n antiaromatic, and 4n+2 aromatic bonding systems. Some common organic functional groups are represented as VIF pictures and because these pictures can be interpreted simultaneously as one-electron density and Hamiltonian operators, the valence shell electron pair repulsion method is applied toward understanding the energies of valence NBOs with respect to the reference energy of -1/2Eh.     

时间分辨荧光免疫分析法间接测定雌二醇

以氯磺酰基噻吩甲酰三氟丙酮（CTTA）为铕（Eu)的螯合剂,羊抗鼠（SAM）的IgG为二抗,用SAM－IgG-CTTA-Eu作标记二抗,建立了以竞争抑制为基础的时间分辨荧光免疫分析测定离雌二醇（E2）的新方法。同均相方法相比灵敏度有很大提高,测定雌二醇（E2）的线性范围为2．5－200pg/mL,检测限为2.5pg/mL。这一方法可望用于E2的临床检测。     

Linear and non-linear dynamics of entangled linear polymer melts by modified tunable coarse-grained level dissipative particle dynamics

Dissipative particle dynamics (DPD) is a well-known simulation method for soft materials and has been applied to a variety of systems. However, doubts have been cast recently on its adequacy because of upper coarse-graining limitations, which could prevent the method from being applicable to the whole mesoscopic range. This paper proposes a modified coarse-grained level tunable DPD method and demonstrates its performance for linear polymeric systems. The method can reproduce both static and dynamic properties of entangled linear polymer systems well. Linear and non-linear viscoelastic properties were predicted and despite being a mesoscale technique, the code is able to capture the transition from the plateau regime to the terminal zone with decreasing angular frequency, the transition from the Rouse to the entangled regime with increasing molecular weight and the overshoots in both shear stress and normal-stress differences upon start-up of steady shear.     

Determination of isoflavones in rat serum using liquid chromatography–tandem mass spectrometry with a highly efficient core–shell column

Consumption and nutritional supplementation of soy and soy-based products have been linked to health benefits such as lower cholesterol and triglyceride levels, and decreased incidence of cardiovascular disease and diabetes. In this study, we have developed a sensitive, specific, and robust method using high-performance liquid chromatography–tandem mass spectrometry (HPLC-MS/MS) for determination of serum isoflavones. A new highly efficient pentafluorophenyl phase core–shell column was first used to separate all isoflavones within 3 min, a separation time which is comparable to ultra-pressure liquid chromatography (UPLC) and micro-HPLC. A two-enzyme hydrolysis system with sulfatase and β-glucuronidase has also been developed to improve the efficiency of deconjugation of conjugated isoflavones in serum. The corresponding conjugated isoflavones were used to evaluate recoveries. In addition to duplicates, the method of standard addition was also applied in sample analysis for quality control. The developed method was applied to the analysis of 32 serum samples and was shown to be specific, sensitive and reproducible.     

紧束缚模型方法及其在DNA分子中的应用

近年来,紧束缚模型方法被广泛应用于计算生物大分子体系.本文从第一性原理出发,根据紧束缚近似的思想,推导出生物大分子体系中的单电子运动方程.在此基础上给出了紧束缚模型方法中所涉及参数(在位能和迁移积分)的计算公式,在理论上完善了紧束缚模型方法.我们将所提出的参数化方法应用于理想B型DNA分子,给出了各种序列组合下的在位能和迁移积分.此外,我们还计算了周期性DNA分子poly(A)-poly(T)和poly(G)-poly(C)中空穴在位能和迁移积分随格点间距离的变化,为改进现有的SSH极化子模型提供了新的思路,有助于DNA中电荷输运的极化子机理的研究.     

On large color differences in non-euclidean color spaces

The color difference formulas CIE94 and CMC are only applicable to small color differences. For this reason, three papers have been written in which a basis for Euclideanization of these systems and, thus, for the calculation of large color differences was established. The original articles gave the equations for the Riemann spaces that were used to determine by calculus of variation the geodesics for acceptability. Several examples were shown. Subsequently, a direct method of transforming the Riemann space into a Euclidean space was published. With additional calculations, this method could also be applied successfully to the CMC system. This was also proven by examples. Several flaws that surfaced in both systems were listed and corrected (missing upper application limit, missing warning regarding non-Euclideanicity, lack of standardization, missing invariance for the event that reference and sample were transposed).