New suggestion for electronic structure of the ground state of ozone

Determination of electronic structure of ozone related geometry is the main subject in this research. The proposed electronic structure must satisfy the experimental geometry, explain the excellent oxidizing properties of ozone, and can also explain the capability of additional reaction with unsaturated hydrocarbons. The potential energy surface of singlet and triplet state of ozone has been studied in order to check the correctness of the proposed structure. The proposed electronic structure of ozone is capable of explaining the oxidizing behavior of ozone in visible wavelength (daylight) 430–700 nm. For comparison, the other proposed structure of ozone in literature such as Pauling, Linnett and Weinhold has also been discussed. The main method used in this research is well-known density functional procedure, B3LYP, which takes the electron correlation aspect into consideration. The polarization and diffused functions are included in the basis set, 6-311++G**. The obtained geometry is a bent and cumulated double bond with inter-bond angle 118.42° (1.39%), and bond length 1.256 Å (1.72%). The obtained results revealed that frontier orbital theory is a proper tool for explaining the addition reaction.     

Hyperconjugation versus back bonding in AH3−nXn species (A = Si and Ge; X = F,Cl and Br; and n = 1, 2 and 3)

In this research two competing phenomena, back bonding and hyperconjugation, have been investigated based on Natural Bond Orbital (NBO) and Atoms in Molecules (AIM) analyses for radical AH_3?nX_n species, where A = Si and Ge, and n = 1, 2 and 3. It is demonstrated in this article that both above phenomena will be occurred significantly, while back bonding is the only event in analogous compounds with carbon and hyperconjugation is rather negligible. It was also found that only one back bonding with the help of keyword $CHOOSE in NBO analysis can be found in this type of compounds with reasonable structure, while it can be sometimes detected in AH_3?nX_n without using keyword $CHOOSE. It is also shown that there is always an increase in bond length in comparison with reference molecules in mentioned species due to existing hyperconjugation, while if the central atom is carbon, we have always a decrease of bond length due to only having back bonding. Additionally, from AIM point of view, the delocalization indices for α-spin (majority spin) is more than β-spin (minority spin) in radical species for molecules without back bonding, while the situation in our compounds is quite reverse, which can be attributed to the π back bonding in the β-spin electrons.     

Interaction of coinage metal clusters with chalcogen dihydrides

The interaction of chalcogen dihydrides (H 2E; E = O, S, and Se) with small coinage metal clusters (M n ; M = Cu, Ag, and Au, n = 3 and 4) is studied based on density functional theory, with a focus on the nature of chalcogen-metal bonds. A newly developed pseudopotential-based correlation-consistent basis set is used for metal clusters together with the 6-311++G** basis set for the remaining atoms. Geometrical data identified that no significant deviation has been observed for molecules before and after complexation. For these three metals, binding energy calculations indicate that gold has the highest and silver has the lowest affinities for interaction with H 2E. In comparison with gold and copper, complexation between silver and chalcogen dihydrides is significantly weaker. It is found that interaction of H 2E molecules with the coinage metals have the order of H 2Se > H 2S > H 2O. Therefore, in agreement with experimental works, our calculations confirm that the gold-selenium bond is the most stable. The nature of M-E bonds is also interpreted by means of the quantum theory of atoms in molecules (QTAIM) and natural bond orbital (NBO) analyses. According to the QTAIM results, the bonds are found to be partially ionic and partially covalent. Natural resonance theory (NRT) is used to calculate natural bond order and bond polarity. The NRT result indicates that the percentage of polarity of M-E bonds is affected by coinage metals.     

Decomposition of deformation density into orbital components

In this research, deformation density matrix has been introduced as matrix representation of the density difference between the complex and fragments. The deformation density matrix is then diagonalized to obtain the magnitude of displaced charges as eigenvalues. Correspondingly, the eigenvectors reveal the spaces responsible for reorganization of the electrons because of the complex formation. The formalism has been applied on some CO₂ planar clusters, and the results showed that how the deformation density can be successfully separated into in‐plane and out‐of‐plane contributions. © 2007 Wiley Periodicals, Inc. Int J Quantum Chem, 2008     

The electronic structure of nanoparticle: theoretical study of small Cobalt clusters (Co<Subscript><Emphasis Type="Italic">n</Emphasis></Subscript>, <Emphasis Type="Italic">n</Emphasis> = 2–5) (part A)

Electronic and geometrical structures of small Cobalt cluster (Co _n , n = 2–5), which were used as building block in Cobalt cluster compounds, were fully investigated in this article. Since small Cobalt clusters as a nanoparticle have many applications in scientific works and technology, it is essential for understanding their relatively accurate electronic structure. The most stable symmetrically and electronically structure confirmed by frequency test for studied clusters is as follows: 5-et (quintet) Co₂ is of course linear, and its HOMOs described by degenerate d _xy orbitals in β-spin part located on both atoms; 8-et (octet) Co₃ is almost scalene triangle and its HOMO in s-orbital of α-spin part located on Co₍₁₎; 11-et Co₄ is rhombus, d _xz orbital of β-spin part located on Co₍₂₎ is its HOMO part. 12-et Co₅ is pyramidal with HOMO in p _x orbital located on Co₍₅₎ in β-spin part, which show very low (0.06) occupation number. This large depletion of electron in HOMO occupation of Co₅ explains high chemical reactivity of this species. Density functional theory, DFT, was used through software Gaussian 09. Xc-correlation functional was chosen among the many recommended xc-functionals for transition metal in the literature by calibration procedure in such a way that the results can match with experimental values. So suitable xc-functional B3P86 and 6-311++G* basis set were found. Natural bond orbital, NBO, has also been used for analysis.