THE PSEUDO ORBITAL STUDIES ON ELECTROPHILIC AROMATIC SUBSTITUTION

The electrophilic aromatic substitution reactions have been studied by using the con-cept of pseudo orbital proposed by authors,Because the unoccupied orbitals of electrophilicreagents have been.taken into account,the present results are better than ones given bysuperdelocalizability,S,.     

VALENCE STATE OF C AtOMS AND σ_t-η_n SEPARABILITY OF MOLECULAR ORBITALS IN THE (BUCKMINSTER)FULLERENE C_(50)

The valence state of C atoms and the structure of molecular orbitals of the (Buckminster)Fullerene C_(60)have been demonstrated. It has been shown that when a motion-coordinate system is adopted, in which the coordinate origin is at every C atom, the z axis is in the direction of the normal and the (x,y) axes are in the direction of tangents of C_(60)'s spherical surface, 240 valence atomic orbitals of C_(60) can be divided into two groups. All (P_x, P_y)atomic orbitals named as Pt ones and all the other P_z atomic orbitals named as p. ones, That is to say that if we name the molecular orbital linearly combined of P_t atomic orbitals as σ_t and the molecular orbital linearly combined of P_n atomic orbitals as π_n, the 240 valence molecular orbitals are of the property of σ_t-π_n separability. It has also been shown that the frontier and nearby frontier molecular orbitals are π_n ones, and therefore the essential physical and chemical properties of C_(60) are determined by its π_n molecular orbitals.     

Effects of Anions and Cations on π-Complexation Between Olefin and Metal Halide

An ab initio molecular orbital study was performed to determine the effects of anions and cations on the π-complexation of C2H4 on MX(M=Ag, Cu; X=F, Cl). The calculated results show the following order of adsorption strength: F-＞Cl- for anions; Cu ＞Ag for cations. The results can be explained by the detailed analysis of atomic charge, orbital energy and orbital population by using the natural bond orbital(NBO) theory: (1) anions with stronger electronegativity can attract more electrons from the s orbital of M, while at the same time it does not obviously weaken the d orbital occupation of M, thus the nearly vacant s orbital and the sufficiently filled d orbitals of M help with forming σ-donation and d-π* backdonation with the π orbital and the π* orbital of olefin, respectively; (2) a smaller energy gap of symmetry-adapted orbitals between olefin and a cation can favor the electron transfer, that is why Cu forms stronger adsorption with olefin than Ag does.     

Ab initio study of the transition-metal carbene cations

The geometries and bonding characteristics of the first-row transition-metal carbene cations MCH_2~ were investigated by ab initio molecular orbital theory (HF/LANL2DZ). All of MCH_2~ are coplanar. In the closed shell structures the C bonds to M with double bonds; while in the open shell structures the partial double bonds are formed, because one of the σ and π orbitals is singly occupied. It is mainly the π-type overlap between the 2p_x orbital of C and 4p_x, 3d_(xz), orbitals of M~ that forms the π orbitals. The dissociation energies of C—M bond appear in periodic trend from Sc to Cu. Most of the calculated bond dissociation energies are close to the experimental ones.     

The role of 3d orbitals in the bonding of phosphorus compounds

Ab initio LCAO-MO-SCF calculations for several typical molecules containing phosphorushave been undertaken to study the role of phosphorus 3d orbitals in the bonding.It is emphasizedthat the discussion about the 3d orbital participation in bonding should be based on a reasonable choiceof basis sets and it seems suitable to choose the atomic orbitals in proper molecular environment asthe basis set.As an approximation,the optimized minimal STO-NG basis sets have been adoptedin the present paper.The results obtained well exhibit the model of 3d orbital participation in bonding.It is shown that under the influence of highly electronegative ligands the phosphorus 3d orbitals con-tract greatly,their energy levels drop considerably,and thus they can effectively participate in bond-ing.The presence of highly electronegative ligands seems necessary.The contribution of 3d orbitalsto bonding is achieved mainly through the concertedformation of σ bonds and p-d backbonds,thoughthe contribution to σ bonding is minor.The three-center,four-electron bond modelis only approxi-mately correct.The results of the present paper demonstrate that the model of 3d orbital participationin bonding favoured by experimental chemists is reasonable and possesses sound ground.     

THROUGH—SPACE AND THROUGH—BOND INTERACTIONS IN 1,5-CYCLOOCTADIYNE; THE ASSIGNMENT OF ITS PHOTOELECTRON SPECTRA

The through--space and through--bond interactions in 1, 5 -- Cyclooctadiyne arestudied. It is shown, with the assistance of improved MS--X_α method, that the through- spaceinteractions decrease with the distance of the orbitals, and both through--space and through--bondinteractions of 1, 5- Cyclooctadiyne are sizable but those two interactions oppose each othercausing the net splitting to be small for π_z orbital. The calculated ionization potentials are in goodagreement with the experiment of photoelectron spectra.     

RULE OF DISTRIBUTION OF PHASE POINTS OF POLY-UNIT MOLECULES AND HOMOLOGOUS LINEAR LAW

The chain M-(A)_n-N or ring obtained by bonding n number of A's with the same chemical structure in the same way is called the poly-unit molecule. Jiang Mingqian has discovered the famous homologous linear law for the poly-unit chain. Xu Guangxian and Li Lemin have studied its quantum-chemical basis and put forward the new linear factor.In order to study further the basic quantum chemistry of the homologous linear law, it is necessary to have first a thorough knowledge of the orbital characteristics of the polyunit molecules. The author studied the orbitals and the energy levels of poly-unit molecules by using difference equations. Based on the past work the concept of phase points of orbital was established, and the rule of distribution of phase points was developed as well. It is found that the phase points of similar orbitals in the molecules of a homologous series appear to condense around a certain point. Based on this fact a theoretical proof of the homologous linear law was made.     

Calculations of Isoelectronic Series of He Using Noninteger n‐Slater Type Orbitals in Single and Double Zeta Approximations

Using integer and noninteger n-Slater type orbitals in single- and double-zeta approximations, the Hartree-Fock-Roothaan calculations were performed for the ground states of first ten cationic members of the isoelectronic series of He atom. All the noninteger parameters and orbital exponents were fully optimized. In the case of noninteger n-Slater type orbitals in double zeta basis sets, the results of calculations obtained are more close to the numerical Hatree-Fock values and the average deviations of our ground state energies do not exceed 2×10^－6 hartrees of their numerical results.     

ELECTRONIC STRUCTURE AND CHEMICAL BONDING OF TRISINDENYL SAMARIUM

The electronic structure and chemical bonding of Sm(Ind)3 were studied by using INDO calculation method.The results showed that the 6s 6P and 5d orbitals of Sm mixed with the atomic orbitals of ligands to some extent while the 4f orbital of Sm was strongly localized,participating in bonding less than 2%.The HOMO and the LUMO were of π-type.The chemical bond of Sm(Ind)3 is considerably covalent in character.The net charge distribution on the carbon atoms of the indenyl group is unequal.The Some bonds in Sm(Ind)3 THF is discussed.     

Ab initio Studies on the Fe-S Protein Model Complexes

In this paper, ab initio calculations of the iron-sulfur protein model complexes have been completed on Fe_2S_2(SH)_2~(n-) and Fe_4S_4(SH)_4~(n-)(n=2, 3). The results indicate that the occupied terminal sulfur characteristic orbitals are found in the front orbital site and the energy levels of the occupied Fe 3d-like orbitals appear internally below the S-H bonding orbitals in the valence band. Although the energy sequence is different from what was reported in literature, our results are in agreement with the relevant experimental facts. We have discussed the reason that variations of the active sites are produced by various oxidation levels. The action mechanism of the Fe-S proteins as electron carriers in the biological processes is also explored preliminarily.     

Violating the Aufbau principle: an efficient way to improve the stability of luminescent radicals

<正>The Aufbau principle,also known as"building-up"principle,is a method of explaining the arrangements of electrons within atoms of different chemical elements.The principle was initially introduced by Danish physicist Niels Bohr and the basic statements include"Electrons will fill orbitals in increasing order of energy,and each orbital can contain a maximum of two electrons,and these must have opposite     

DFT Study on Structural Distortion and Vibronic Coupling of Vanadyl Porphyrin Anion and Cation

The geometries of one-electron reduced/oxidized species （[TOP]-/[VOP] ＋） of vanadyl por- phyrin （VOP） have been calculated with PBE1PBE method. The results show that for both [VOP]- and [VOP]＋ the ground states are triplet, in which one of the two unpaired electron occupies the dxy orbital of the V atom while the other occupies the n-orbital of porphyrin ring. Thus both [VOP]- and [VOP]＋ can be considered as n-radicals. The ground state of neutral VOP molecule is doublet with the unpaired electron occupying dxy orbital of V atom. In contract to the C4v symmetry of neutral VOP molecule, [VOP]- anion has a ＂rectangular＂ distorted C2v structure due to Jahn-Teller effect. The linear vibronic coupling constants for the Jahn-Teller active modes of [TOP]- were evaluated and the node patterns of frontier KS orbitals are used to explain the reason why the distortion occurs along specific modes. The ground state [VOP]＋ has a porphyrin ring with pronounced bond length alternation due to pseudo-Jahn-Teller effect, causing its symmetry declined from C4v to Ca. The bond length alternation is well explained with the node patterns of re-constructed frontier KS orbitals.     

INTERACTION OF WALSH- AND π-ORBITALS——PHOTOELECTRON SPECTRA OF CYCLOPROPYL SUBSTITUTED BENZENES

In this paper the photoelectron spectra of a series of cyclopropyl substituted benzenes arerecorded and discussed. Although their interpretation is made difficult by conformational pro-blems, with the possible exception of hexacyclopropyl benzene (12), it is confirmed that theWalsh orbitals of the cyclopropyl group interact appreciably with the π-system to which theyare attached in both the bisected and perpendicular conformation. The ratio of the cross-terms is B(eA, 2p)/B(es,2p)≈1.4 rather than a much larger number suggested by thetraditional diagrams for the Walsh orbitals. It is shown that a representation, in terms ofof localized bond orbitals derived from an STO-3G model, is more appropriate and heuristi-cally useful.     

ELECTRONIC ENERGY BAND STRUCTURE OF MOLECULAR CRYSTAL TTF-TCNQ——CHANGE OF ENERGY BAND STRUCTURE DURING PEIERLS PHASE TRANSITION

In this paper, the electronic energy bands of the molecular crystal TTF-TCNQ have been calculated. The results demonstrate that the positions and the widths of the energy bands of this crystal conform to the rules given by our previous paper exactly, i.e. the positions of the energy bands of crystal orbitals are determined by the energy levels of corresponding molecular orbitals of the isolated molecules, and the widths of the energy bands are determined by the interaction between the molecular orbitals belonging to different molecules in the crystal. The results also demonstrate that the dimerization which appears after Peierls phase transition has a considerable effect on band widths. The dimerization causes the band widths of TTF and TCNQ columns to become narrow sharply. According to the relationship between the mobility of charge carriers and the band width given by Frhlich and Sewell, the sharp change of electrical conductivity of TTF.TCNQ crystal during Peierls phase transition can be explained p     

Adsorption of Co2B2 and Ni2B2 Clusters on the TiO2 (110) Surface: a Density Functional Study

Based on density functional theory and generalized gradient approximation calculations, the adsorption of Co2B2 and Ni2B2 clusters on the rutile TiO2 (110) surface has been investigated utilizing periodic supercell models. Unambiguously, the results demonstrate that the hollow site turns out to be preferable for Co2B2 cluster while Ti2 site is for Ni2B2 cluster to adsorb. Orbital population analysis indicates a strong interaction between Co2B2 and O atom of TiO2 surface, which can be attributed to the overlap of Co 3d and surface O 2p orbital. Similarly, for Ni2B2 , the bonding interaction occurs mostly through the interaction of Ni 3d/4s and O 2p orbitals. Note that, there is also an interaction within the Co2B2 clusters (Ni2B2) through B 2s/2p and Co 3d orbitals (Ni 3d/4s). Moreover, orbital analysis results shows that the strong bonding between Ni2B2 and Ti2 site is due to the overlap of HOMO of Ni2B2 and d-orbital of five-coordinated titanium atoms.     

Bonding Characteristics and Magnetic Coupling Interactions in One-dimensional α′-NaV_2O_5

The spin-polarized generalized gradient approximation(GGA)+U approach was employed to study the bonding characteristics and magnetic coupling interactions in room-temperature phase α′-NaV2O5. The calculated results indicate that the Vdxy orbital is split off from other 3d orbitals in the VO5 pyramidal ligand field. The Vdxy orbitals are hybridized strongly with the Opx/py orbitals, forming a V―O―V π bond in the ab plane. The ligand field effect together with the intra-atomic exchange splitting results in th...     

The mechanism of hydrogen abstraction by high valence transition metal oxo compounds

We present here a systematic theoretical study to explore the underlying mechanisms of the H abstraction reaction from methane. Various abstracting agents have been modeled, using oxygen radicals and a set of high valence metal oxo compounds. Our calculations demonstrate that although H abstraction from CH3–H by metal oxoes can be satisfactorily fitted into the Polanyi correlation on the basis of oxygen radicals, the mechanisms behind are significantly different. The frontier orbital analyses show that there are three electrons and three active orbitals(3e,3o) involved in H abstraction by oxygen radicals; whereas an additional orbital of π*M – Ois involved in H abstraction by M=O, resulting in a(4e,4o) interaction. In terms of valence bond state correlation diagram, we find that H abstraction by a metal oxo may benefit from the contribution of ionic resonance structures, which could compensate the penalty of opening the M–O π bond. We believe that these findings can help to design more effective catalysts for the activation of light alkanes.     

Theoretical Investigations on the Structures and Properties of the Side-on Complexes B_2(N_2)_2 and Monocyclic B_n(N_2)_n~m (n=3～6,m=-1～+2)

The structures and energies of the side-on complexes B2(N2)2 and monocyclic Bn(N2)nm (n = 3～6,m = -1～+2) between N2 (1∑+g) and B (2P) have been investigated by the DFT-B3LYP and MP2 methods at the 6-311+G(2d) and aug-cc-pVTZ levels. The analyses of NICS (Nucleus Independent Chemical Shifts),NBO (nature bond orbital),AIM (atoms in molecules) and frontal orbitals have been used to reveal the origin of coordination bond between the π-electron donor N2 group and B atom,accompanied by the comparison with the end-on complexes. The results have indicated that the side-on coordination complexes can be formed due to the relative strong fluidity of the π-electrons,and the nature of the coordination bond has been exposed to be that the N2 group offers 1πu electron to the 2p orbital of boron. The coordinate energies of the side-on complexes are less than those of the end-on complexes. Furthermore,the aromaticity of side-on coordination complex is weaker than that of the corresponding end-on coordination complex.     

Electronic Properties of Armchair Graphene Nanoribbons with Oxygen-terminated Edges: A Density Functional Study

Armchair graphene nanoribbons with different proportions of edge oxygen atoms are analyzed in this study using the crystal orbital method,which is based on density functional theory.Although buckled edges are present,all the nanoribbons are energetically favorable.Unlike the adjacent edge oxygen atoms,the isolated edge oxygen atoms cause semiconductor-metal transitions by introducing edge states.For graphene nanoribbons with all oxygen atoms on the edges,band gap and carrier mobility vary with ribbon width.Furthermore,this behavior is different from that of hydrogen-passivated graphene nanoribbons because of different effective widths,which are pictorially presented with crystal orbitals.The carrier mobilities are as 18%~65% magnitude as those of hydrogen-passivated nanoribbons and are of the order of 103 cm2·V-1·s-1.