Physical Interpretation of the Electronegativity

An additivity scheme of electronegativities of univalent substituents has been proposed on the basis on the Van Vleck orbital model of valence states of atoms. The electronegativity of any organic or heteroelement-containing substituent can be calculated from the orbital electronegativities and hardnesses of atoms constituting that substituent. The proposed additivity scheme is the most consistent among those currently available for calculation of orbital electronegativities of univalent substituents. The scheme was substantiated with the aid of quantum-chemical scale of group electronegativities.     

基态原子价壳层电子能级连接性指数与元素的电负性

构建了基态原子价壳层电子能级连接性指数(^mVEI),m=0,1,2,…，它对基态原子实现唯一性表征，其中^0VEI,^1VEI对原子具有良好的结构选择性，以^0VEL,^1VEL，价壳层电子总离子化能(ΣniEi)和总从电子数(Σni)为基本参数，定义了元素的电负性：X~N=0.444067+1.190653(1-1.32775/Σni)(^0VEI)-3.154675(^1VEI)+0.134591.(ΣniEi/Σni)。用上式给出了周期表中主族元素、副族元素及惰性元素的电负性。结果表明，新电负性标度X~N与目前流行的Pauling标度颇为一致。进一步从价轨道能级连接性指数确定了碳原子的sp,sp^2,sp^3杂化轨道的电负性。     

Electronegativity in Quantum Chemistry

The possibility is discussed for determination of chemical potential (electronegativity) of an electron-nucleus system in terms of the quantum-mechanical density functional theory (DFT). The principle of complete leveling of chemical potentials of natural orbitals, formulated in the framework of DFT, cannot be regarded now as justified. The calculation of electronic chemical potential via difference schemes still remains the only procedure suitable for estimation of this quantity by quantum-chemical methods.     

原子价壳层电子量子拓扑指数与元素电负性的关系

在基态原子价壳层电子隐核图的基础上, 基于拓扑化学原理以及原子价壳层电子结构特征, 构建了原子价壳层电子量子拓扑指数(AEI), 它对基态原子实现唯一性表征, 结合原子价壳层电子平均化能(∑n_iE_i/∑n_i)等参数, 建立了一套新的元素电负性标度: X_N＝－0.588710AEI₁＋0.761214AEI₂＋0.154982(∑n_iE_i/∑n_i)－0.080929. 该式给出了周期表中氢至镅共95种元素的电负性, 结果表明新电负性标度X_N与Pauling电负性标度颇为一致. 进一步从原子价轨道量子拓扑指数确定了sp, sp², sp³杂化轨道的电负性. 新标度在元素和物质的结构-性质研究中具有一定的适用性.     

一种价态元素电负性的新标度

本文利用原子的价层轨道能、共价半径和有效主量子数为主要参数，以静电力为基础计算了价态元素电负性，本文计算了78种元素常见价态的电负性，由此，产生了一套价态元素电负性的新标度，其计算公式为：X_y=0.070n^*(-∑E_i)^1/2/r_c²+0.820式中E_i为原子的价层轨道能，r_c为原子的共价半径，n^*为有效主量子数。该标度不但容易理解和计算,而且标度值比已有的文献值更接近传统的鲍林电负性值。此外，该标度值的相对大小还能反映配合物的稳定性，过渡金属收缩和镧系元素收缩等性质。     

Electronegatlvity and the bonding character of Molecular Orbitals

The density-functional approach to Molecular Orbital theory shows that the chemical bonding potential is better described by orbital electronegativities than by ionization energies. This results from the fact that the electronic relaxation connected with ionization is not significant for the homolytic breaking of chemical bonds. Electronegativity, on the other hand, is an eigenvalue corresponding to the average potential seen by an electron as a molecular orbital changes into monocentric (atomic) orbitals.     

Iterative partial equalization of orbital electronegativity—a rapid access to atomic charges

A method is presented for the rapid calculation of atomic charges in σ-bonded and nonconjugated π-systems. Atoms are characterized by their orbital electronegativities. In the calculation only the connectivities of the atoms are considered. Thus only the topology of a molecule is of importance. Through an iterative procedure partial equalization of orbital electronegativity is obtained. Excellent correlations of the atomic charges with core electron binding energies and with acidity constants are observed. This establishes their value in predicting experimental data.     

The importance of the external potential on group electronegativity

The electronegativity of groups placed in a molecular environment is obtained using CCSD calculations of the electron affinity and ionization energy. A point charge model is used as an approximation of the molecular environment. The electronegativity values obtained in the presence of a point charge model are compared to the isolated group property to estimate the importance of the external potential on the group's electronegativity. The validity of the "group in molecule" electronegativities is verified by comparing EEM (electronegativity equalization method) charge transfer values to the explicitly calculated natural population analysis (NPA) ones, as well as by comparing the variation in electronegativity between the isolated functional group and the functional group in the presence of a modeled environment with the variation based on a perturbation expansion of the chemical potential.     

A group electronegativity equalization scheme including external potential effects

By calculating the electron affinity and ionization energy of different functional groups, CCSD electronegativity values are obtained, which implicitly account for the effect of the molecular environment. This latter is approximated using a chemically justified point charge model. On the basis of Sanderson's electronegativity equalization principle, this approach is shown to lead to reliable "group in molecule" electronegativities. Using a slight adjustment of the modeled environment and first-order principles, an electronegativity equalization scheme is obtained, which implicitly accounts for the major part of the external potential effect. This scheme can be applied in a predictive manner to estimate the charge transfer between two functional groups, without having to rely on cumbersome calibrations. A very satisfactory correlation is obtained between these charge transfers and those obtained from an ab initio calculation of the entire molecule.     

New Regularities Discovered in Properties of Boranes with Different Number of Electrons and Degree of Their Localization. Dicarboranes

New regularities were established for the properties of dicarboranes and their anions depending on the number of electrons and electronegativities of substituents. The property changes are quantitatively related to the degree of localization of the electron density on chemical bonds, such localization being determined by the energetics of the molecule. The conclusions made are based on the results of quantum-chemical calculations using the structural thermodynamic model.     

DFT/TD-DFT study on halogen doping and solvent contributions to the structural and optoelectronic properties of poly[3,6-carbazole] and poly[indolo(3,2-b)-carbazole]

The polycarbazoles have been proved to be a good organic semiconductor. These are investigated by quantum chemical studies using B3LYP density functional theory (DFT), and the studies have given a detailed understanding on the impact of carbazole units and an introduction to the electron donating on the optoelectronic properties. The electron withdrawing groups of halogen atoms (chlorine, bromine and iodine) have been substituted into the side chain of the poly[3,6-carbazoles] (PCs) and poly[indolo(3,2-b)-carbazoles] (PICs) and analysed. The band was assigned in the gas phase at 354.8 and 365.1 nm for PCs and PICs which are in good agreement with experimental values of 350 and 390 nm. The calculated results show that the selected three halogen derivatives exhibit a strong blue shift in the toluene solvent medium, with high electronic transition. It is found that PCs, PICs and their derivatives have a narrow band derived in the conduction band, and it is composed of 3p, 4p and 5p states; thus, the energy gap of PCs and PICs increased between the highest occupied molecular orbital and lowest unoccupied molecular orbital energy level by the addition of electron acceptor group atoms. The doped PC and PIC electronegativities are well plotted by an electrostatic potential map, and the plot reveals that chlorine-doped PCs and PICs have less electronegativity and bromine-doped polymer has high electronegativity than that of the chlorine-doped polymers. The results obtained from these studies will expose the affairs between the molecular geometry and electronic and optical properties of the investigated polymers.     

Electronegativities and the bonding character of molecular orbitals: A remark

From the density functional theory of Hohenberg-Kohn it is possible to prove that a molecular orbital is bonding (antibonding) if its electronegativity is larger (smaller) than the electronegativities of the corresponding atomic orbitals.     

Charge distribution in homonuclear bonds: A semiempirical modeling

Atoms characterized by nonequivalent electronegativities form chemical bonds by exchanging electrical charge. The fraction of charge exchanged is dictated by the electronegativity differences among the system atoms. In the electronegativity equalization method, the charge distribution is estimated by forcing the system to relax to a common chemical potential, which corresponds to its configuration of energy minimum. By definition, this method cannot be applied to homonuclear bonds. A model is proposed to estimate the charge shared in molecular orbitals of homonuclear molecules. The model expands upon the electronegativity equalization method by adding formalism to describe the spin coupling characteristic of homonuclear bonds. Results are in excellent agreement with other quantum mechanical estimations of the charge distributions. © 2013 Wiley Periodicals, Inc.     

A molecular electrostatic potential bond critical point model for atomic and group electronegativities

A consistent set of atomic electronegativities of main block and d-block transition elements has been obtained from the position and value of the molecular electrostatic potential bond critical point of the C-E bond of a methyl-element-hydride system, H(3)C-EH(n) (E is an element and n = 0, 1, 2, 3, 4, and 5 depending on the position of E in the periodic table). The new scale shows very good agreement with the popular electronegativity scales such as Pauling, Allen, Allred-Rochow, Mulliken, and Sanderson scales of electronegativity, especially for the main block elements. The present scale of electronegativity for transition elements is expected to be more accurate than the previously derived values because of a more consistent approach. Further, the same approach has led to the evaluation of group electronegativities when the hydrogens of E are replaced by other substituent groups. These group electronegativity values are found to correlate well with Inamoto and Mullay scales.     

聚磷氮烯及其衍生物电子结构的理论研究

用分子轨道和晶体轨道方法,对聚磷氮烯及其衍生物的电子结构进行了研究,以期更深入地了解聚磷氮烯的结构和性能.研究发现,链状聚磷氮烯和环状三聚磷氮烯为平面结构,其它的环状聚磷氮烯则为巢式结构,吸电子基团取代有使环状聚磷氮烯主链环取平面结构的倾向.研究还发现,无论是链状还是环状聚磷氮烯,都表现为半导体.取代基效应表明,吸电子基团-F和-CN的取代,使聚合物的电子亲和势(EA)和电离能(IP)均增大,能隙减小,给电子基团-CH₃和-OCH₃的取代,使聚合物的IP减少;吸电子基团取代有利于n-型掺杂,给电子基团取代有利于p-型掺杂,但都不改变其半导体的特性.     

Estimation of electronegativity values of elements in different valence states

The electronegativities of 82 elements in different valence states and with the most common coordination numbers have been quantitatively calculated on the basis of an effective ionic potential defined by the ionization energy and ionic radius. It is found that for a given cation, the electronegativity increases with increasing oxidation state and decreases with increasing coordination number. For the transition-metal cations, the electronegativity of the low-spin state is higher than that of the high-spin state. The ligand field stabilization, the first filling of p orbitals, the transition-metal contraction, and especially the lanthanide contraction are well-reflected by the relative values of our proposed electronegativity. This new scale is useful for us to estimate some quantities (e.g., the Lewis acid strength for the main group elements and the hydration free energy for the first transition series) and predict the structure and property of materials.     

Electronic properties and aromaticity of substituted diphenylfulvenes in the ground (S<Subscript>0</Subscript>) and excited (T<Subscript>1</Subscript>) states

In the present account, we investigate electronic properties of diphenylfulvene and its derivatives substituted in phenyl rings. The results were compared with the analogous properties of fulvene and its derivatives with the same substituents at the exocyclic carbon atom. All properties were evaluated and compared in the ground electronic S₀ state and in the first excited T₁ triplet state. These properties are dipole moments, charges, number of π electrons, and aromaticity of the fulvenic, five-membered ring in the two sets of compounds. The latter property was estimated by the harmonic oscillator model for aromaticity (HOMA) index and, for the fulvenes group, by the calculation of aromatic stabilization energy in both electronic states. It was also investigated whether Baird’s rule alone can account for the aromaticity differences in the two electronic states.     

The lowest electronic states of the benzoyl ion. A molecular orbital study with configuration interaction

A configuration interaction method of molecular orbital theory shown to be accurate for the calculation of excited state energies in several aromatic systems was applied to the problem of excited states of the benzoyl ion. The excited singlet and triplet states of the benzoyl ion lie at least 3.8 eV and 2.6 eV, respectively, above the ground state. These results are not in agreement with a postulated state 20 kcal above the ground state. On the other hand, the charge distribution in excited states does agree with that postulated for the 20 kcal state. The p-hydroxy and p-cyano substituents do not greatly influence the charge distribution between the ring and the carbonyl group in either the ground or lowest excited states.