Some remarks on the maximum bond order

Summary Some remarks are given concerning the recent improvement scheme of calculating Jug's maximum bond border index.     

Use of a novel relationship between bond length and bond order to calculate accurate bond orders for carbon–carbon bonds

An exact relationship between bond length and bond order has been derived for the first time based on the concept of electron density. This relationship allows the calculation of sufficiently accurate bond orders and also determines the number of bond-forming electrons. According to this novel relationship between bond order and bond length, the bond order of the carbon–carbon bond in ethylene is 1.75, whereas it is 2.50 in acetylene. These bond orders are readily interpreted by the fragmentation of π-bonds and a consequent decrease in bond order, which is further supported by the chemical properties of these molecules. Assuming structure-specific fragmentation of π-bonds (i.e. one structural motif always adheres to one or two types of bond fragmentation scheme), the bond orders can be predicted for molecules containing multiple carbon–carbon bonds in excellent agreement with the experimental findings.     

A molecular orbital explanation of bond distance variation caused by hydrogen bond formation

For hydrogen bond systems X–D–HA–Y, a simple molecular orbital model is proposed to understand the mechanism of the bond distance variations caused by the hydrogen bond formation. This model explains the bond distance variations for X–D and A–Y as follows. Electrostatic potential that the electrons in a molecule receive from other molecules causes the changes in atomic orbital energy differences between the bonded atoms. Then, the changes in the orbital energy differences make the bond orders larger or smaller and consequently the bond distances vary. The validity of this model has been confirmed by the effective fragment potential method, using the test systems of (HCOOH)₂, HCONH₂ (formamide) crystal and BF₃·2H₂O crystal.     

A new approach to the formal classification of covalent compounds of the elements

A new approach to the classification of covalent compounds of the transition metals is presented. The classification introduces the concepts of valency number and ligand bond number as alternatives to the concepts of formal oxidation state and coordination number. Population density maps (MLX plots) which represent the covalent compounds of an element as a function of all the known ligands are exemplified for chromium; molybdenum and tungsten; and nickel, palladium and platinum. These plots are used to identify the major characteristic chemical properties of the elements including reactivity trends and reaction mechanisms.     

Non-Equivalent Hybrid Atomic Orbitals and Covalent Bonds in a2 Molecules

In addition to having a noninteger value of λ for non-equivalent hybrid atomic orbitals sp ^λ the introduction of a noninteger occupation number to a valence configuration for atoms in a molecule renders a precise account of the covalent bond in homonuclear diatomic molecules. For instance, the following bond orders 0.05, 1.42 and 2.62 are obtained for the molecules Be², B² and C² according to the proposed method.     

Graphical linking of a MO multicenter bond index to VB structures

The multicenter bond index proposed within the MO framework depends on the order of the centers for which it is calculated, outside from the 3-c case. For the 6-c case, the eventually different values are 60. A graphical approach links the MO values to VB structures. Benzene, chosen as our paradigm for the 6-c case, illustrates our proposition.     

六氟乙烷分解成氟甲基及其逆反应的A因子和活化能的计算

采用半经典统计方法对过渡态的临界键长进行了具体计算,利用这些结果计算了CF_3+CF_3C_2F_6反应的指数前因子和活化能,计算结果与实验值相当符合。     

Mass connectivity index,a new molecular parameter for the estimation of ionic liquid properties

A new concept named mass connectivity index (MCI) to encode bond contributions and to allow quantifying the extent of branching in a molecule, especially of ionic liquids, is proposed. The concept is based on the molecular connectivity concept first introduced by Randic in 1975 and modified in different forms by several authors. The proposed concept is much easier to calculate than any of the connectivity indexes available in the literature. Thus the only data required for determining the MCI are the groups forming the molecule and the mass of the groups. The groups forming the molecule are defined as commonly done in group contribution methods. The index is used as a variable in generalized correlations to accurately estimate the density and the heat capacity of ionic liquids.     

键连接性指数的建构及其在有机体系中的应用研究

以化学键为基础建构了键连接性指数及分子键连接性指数，该指数同时考虑顶 点原子的化学特征及键的性质．对于任意化学键，键连接性指数Si＝1+△I/R·[（ Z1-h1)m2/n1+(Z2-h2)m1/n2]，分子键连接性指数S为∑i=1^m√Si或∑i=1^m1/√ Si，其中，Z1，Z2为化学键键连原子的价电子数；n1，n2成键原子的价层最高主量 子数；m1，m2为成键原子的氧化数；h1，h2为与成键原子相连的氢原子个数；△I 为成键原子的电负性差(△I≥0)；R为化学键的相对键长．与以顶点为基础的价连 接性指数不同，该指数不仅能方便而有效地应用于饱和碳氢体系亦能有效地应用于 含多重键的不饱和体系及含杂原子的有机体系．研究了饱和碳氢体系标准生成焓， 不饱和碳氢体系和酮、醚、酯体系在水中的溶解度和辛醇/水分配系数，卤代甲烷 体系的标准生成焓，卤代苯体系辛醇/水分配系数，均取得比较满意的结果。     

Geminal bond participation in the uncatalyzed Mukaiyama aldol reaction

We predicted that uncatalyzed Mukaiyama aldol reactions are under the control of the geminal bond participation. At the transition state of the model reaction, addition of CH₂O and CH₂CH(OSiH₃), the interbond energy IBE is negative between the σ-bonding orbital at the Z-position of the enolate terminal and , and positive between that at the E-position and . These results led us to predict that the electron-donating σ-bond at the Z-position enhances the reactivity. We calculated the enthalpies of activation of the reactions of a variety of the R-substituted silyl enolates and confirmed the prediction by showing that the reactivity of the Z-isomers relative to that of the E-isomers increases with the energy of the bonding orbital of the σ bond at the Z-position (the axial position at the transition state of the chair form). We demonstrate that the geminal bond participation is general not only to the pericyclic reactions but also to the aldol reaction, which is one of the most fundamental C-C bond forming reactions.     

烷烃中碳氢键离解能的估算及其应用

将烷烃中的C－H键看成氢原子H与烷基Ri相连接而成的Ri－H键，以烷基的 HOMO能级和氢原子的轨道能来关联Ri－H键的离解能BDE。研究表明，烷烃分子中 Ri－H键的离能BDE与烷基Ri的极化效应指数PEI（Ri）有良好的线性关系：BDE＝ c+dPEI(Ri)。所得方程具有良好的估算精度。烷基Ri极化效应指数PEI（Ri）在羟 基自由基与烷烃反应速度常数的定量相关中，也得到良好的应用。     

离子型共价有机框架材料的制备及对染料吸附性能的研究

茜素红(Alizarin Red,AR)作为蒽醌类染料中的重要组成,由于其具有优异的特性,在染料和酸碱指示剂等方面被广泛使用。但是AR具有毒性高、结构复杂以及化学需氧量(COD)值大等原因,使其成为了主要污染物之一,去除水体中的茜素红染料污染物已经成为了目前亟待解决的问题。共价有机框架材料作为一种新型的多孔有机材料,由于其具有比表面积大,孔径均一和可设计的独特优势,已经广泛应用吸附和分离等方面。因此,以三醛基间苯三酚和溴化乙锭为构筑单元,通过水热的方法合成一种二维离子型共价有机框架材料(TpEB-COF)。对制备的TpEB-COF进行相关表征,包括X射线衍射仪(XRD),扫描电镜(SEM)和能量色散谱仪(EDS)等。然后将制备的TpEB-COF作为固体吸附剂,将其应用对水中AR的吸附,研究了不同吸附时间和不同pH值对吸附过程的影响。实验结果证明制备的离子型共价有机框架材料具有良好的晶型结构。同时,对实验数据分析表明,离子型共价有机框架材料对于茜素红的吸附符合准二级动力学方程和Langmuir吸附模型,吸附效率为82.8%,最大吸附量为828 mg g-1。本研究不仅为共价有机框架材料的设计和合成奠定坚实的基础,而且拓展了离子型共价有机框架材料的应用范围,促进共价有机框架材料的发展。     

On the difference between atom‐bond connectivity index and Randić index of binary and chemical trees

This article is devoted to establishing some extremal results with respect to the difference of two well‐known bond incident degree indices [atom‐bond connectivity (ABC ) index and Randi? (R ) index] for the chemical graphs representing alkanes. More precisely, the first three extremal trees with respect to ABC – R are characterized among all n‐vertex binary trees (the trees with maximum degree at most 3). The n‐vertex chemical trees (the trees with maximum degree at most 4) having the first three maximum ABC – R values are also determined.     

Empirical correlation between the stretching force constant and the bond order for nitrogen-oxygen systems

The stretching force constant correlates satisfactorily with theWiberg's bond order,K(N-O)=11.791 [p(N-O)]–9.565, with a correlation coefficient of 0.958, for nitrogen—oxygen systems.

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Empirische Korrelation zwischen der Kraftkonstante der Streckschwingung und der Bindungsordnung in Stickstoff-Sauerstoff-Systemen (Kurze Mitteilung)

Zusammenfassung Die KraftkonstanteK der Streckschwingung läßt sich in befriedigender Weise mit derWibergschen Bindungsordnungp korrelieren:K(N-O)=11.791 [p(N-O)]-9.565. Für Stickstoff-Sauerstoff-Systeme beträgt der Korrelationskoeffizient 0.958.

     

A theoretical study of the C–HN hydrogen bond in the methane–ammonia complex

The C–HN hydrogen bond in the methane–ammonia complex is studied by determining its bond dissociation energy (BDE) and the n(N)→σ^*(C–H) interaction. At the MP2(Full)/6-311++G(3df,2p) level of theory with basis set superposition error (BSSE) correction, the BDE was determined to be 2.5 kJ mol⁻¹. The n(N)→σ^*(C–H) interaction at this level of theory was found to be 3.7 kJ mol⁻¹ by natural bond orbital (NBO) analysis. It was also found that the NBO values are in general higher than the BDE values with BSSE correction when they are compared at the same level of theory.     

A molecular orbital explanation for the B?N bond shortening in H3BNH3 on going from the gaseous to the solid state

A simple molecular orbital model has been applied to explanation of the B? N bond shortening in H₃BNH₃ on going from the gaseous to the solid state. In this model, the shortening is attributed to the bond order increase that is caused by the fact that each atom in the crystal experiences different external electrostatic potential to each other and thus the orbital energy level of each atom is changed. To illustrate this model, Effective Fragment Potential (EFP) method has been applied to the system consisting of a H₃BNH₃ molecule and 30 dipole moments whose magnitudes are determined by Lorentz's local field theory. This EFP computation has brought significant B? N bond shortening (1.668 → 1.623 Å), which is about 50% of the actual shortening. The factor of the remaining discrepancy has been analyzed by Morokuma decomposition under EFP and localized orbital analysis. These analyses have revealed that the remaining discrepancy is almost compensated by incorporating the dihydrogen bonds (B? H···H? N) that are formed by the orbital interaction between the bonding orbital of the B? H and the antibonding orbital of the N? H. © 2007 Wiley Periodicals, Inc. Int J Quantum Chem, 2008     

A theoretical study of five nitrates: Electronic structure and bond dissociation energies

Three density-functional methods (B3P86, B3PW91, and B3LYP) are employed to investigate the O–NO₂ bond lengths, frontier orbital energies, and O–NO₂ bond dissociation energies (BDEs) of n-propyl nitrate (NPN), isopropyl nitrate (IPN), 2-ethylhexyl nitrate (EHN), triethylene glycol dinitrate (Tri-EGDN), and tetraethylene glycol dinitrate (Tetra-EGDN). It is found that the O–NO₂ bond lengthens (destabilizes) in the order of IPN, NPN, EHN, Tetra-EGDN, and Tri-EGDN. From the data of frontier orbital energies (E_HOMO, E_LUMO), and energy gaps (ΔE), we estimate the relative thermal stability ordering of five nitrates and their corresponding radicals. The predicted BDEs of O–NO₂ bond in NPN, IPN, EHN, Tri-EGDN, and Tetra-EGDN, are 176.6, 174.5, 168.1, 156.1, and 159.3 kJ mol⁻¹, respectively. Based on the finding that the present results of BDEs are well coincident with the experimental results of apparent activation energies from the literature, we can draw a conclusion that the experimental thermolysis of five nitrates is only unimolecular homolytical cleavage of the O–NO₂ bonds.     

A quantitative measure of bond polarity from the electron localization function and the theory of atoms in molecules

 A quantitative measure of the polarity of a bond can be obtained through combining the two complementary topological partitionings of the electron density obtained from the atoms in molecules theory, on the one hand, and the electron localization function, on the other. This requires an integration of the electron density in the atomic subbasins of a common bond electron localization basin. We present the first numerical application of the resulting topological definition of bond polarity to a set of small linear systems consisting of the FCN, HF, HCl, HBr, and NaCl molecules and the NeAr van der Waals dimer. It is shown that the findings are essentially in line with common expectation for these simple molecules, thus confirming the potential value of the novel bond polarity index for the analysis of controversial bonding situations. Additional insight is provided through the detailed investigation of fluctuations in the basin populations. Received: 10 January 2001 / Accepted 12 February 2001 / Published online: 22 May 2001