What is the structure of FeC5H6?

Calculations performed using both density functional theory (DFT) and the modified coupled-pair functional (MCPF) approach show that FeC₅H₆⁺ is more stable than HFeC₅H₅⁺ by about 10 kcal/mol. The ground state of FeC₅H₆⁺ is a quartet state derived from the 3d⁷ occupation of Fe⁺. For HFeC₅H₅⁺, the MCPF approach yields a sextet ground state while DFT yields a quartet; however, these two states are close in energy at both levels of theory.     

Exit transition state of endohedral X@Si20H20 complexes (X=Li, Na, K, Be, Mg)

The kinetic stability of endohedral X@Si₂₀H₂₀ complexes (X=Li⁺, Na⁺, K⁺, Be²⁺, Mg²⁺) has been studied at the B3LYP/6-31G* level of density functional theory (DFT). The transition states (TS) are investigated by the QST3 method of Gaussian 98 package and demonstrated with Intrinsic reaction coordinate (IRC). It is found that K⁺@Si₂₀H₂₀ cluster has the most stable structure kinetically, that the exit barrier heights (H_exit) for K⁺ expulsion from or insertion in the cage are 187.38 and 205.58 kcal/mol, respectively. However, the smallest Be²⁺ dication is not endohedrally encapsulated and the Be²⁺@Si₂₀H₂₀ cluster is expected to be the least stable structure kinetically. By comparison, other endohedral complexes have a moderate kinetic stability.     

Vibrational spectra and density functional study of propylgermane

Raman and infrared spectra of propylgermane, CH₃CH₂CH₂GeH₃, and its Ge-deuterated analog, CH₃CH₂CH₂GeD₃, were investigated in their gaseous, liquid and solid states. The normal coordinate treatment was carried out by density functional theory (DFT) calculation, using B3LYP/6-31G^* and 6-311++G^** basis sets, and the corresponding fundamental vibrations were assigned. The trans (T) and gauche (G) forms around the central C–C bond coexisted in the gaseous and liquid states and only the T form existed in the solid state. From the temperature dependent measurements of the Raman spectra in the liquid state, the enthalpy difference was found to be ΔH(T−G)=−0.36±0.02 kcalmol⁻¹ with the T form being more stable. The energy differences between the isomers obtained by DFT calculations were ΔE(T−G)=−0.46 kcalmol⁻¹ and ΔE(T−G)=−0.87 kcalmol⁻¹ by the 6-31G^* basis set and 6-311++G^** basis set, respectively.     

Structure and conformational stability of CH2CHCH2X (X=F, Cl and Br) molecules—post Hartree–Fock and density functional theory methods

The molecular structure and conformational stability of CH₂CHCH₂X (X=F, Cl and Br) molecules were studied using ab initio and density functional theory (DFT) methods. The molecular geometries of 3-fluoropropene were optimized employing BLYP and B3LYP levels of theory of DFT method implementing 6-311+G(d,p) basis set. The MP2/6-31G^*, BLYP and B3LYP levels of theory of ab initio and DFT methods were used to optimize the 3-chloropropene and 3-bromopropene molecules. The structural and physical parameters of the molecules are discussed with the available experimental values. The rotational potential energy surface of the above molecules were obtained at MP2/6-31G^* and B3LYP/6-311+G(d,p) levels of theory. The Fourier decomposition of the rotational potentials were analyzed. The HF/6-31G^* and MP2/6-31G^* levels of theory have predicted the cis conformer as the minimum energy structure for 3-fluoropropene, which is in agreement with the experimental values, whereas the BLYP/6-311+G(d,p) and B3LYP/6-311+G(d,p) levels of theory reverses the order of conformation. The ΔE values calculated for 3-chloropropene at MP2/6-31G^*, BLYP/6-311+G(d,p) and B3LYP/6-311+G(d,p) levels of theory show that the gauche form is more stable than the cis form, which is in agreement with the experimental value. The same levels of theory have also predicted that the gauche form is stable than cis for 3-bromopropene molecule. The maximum hardness principle has been able to predict the stable conformer of 3-fluoropropene at HF/6-31G^* level of theory, but the same level of theory reverses the conformational stability of 3-chloropropene and 3-bromopropene molecules and MP2/6-31G^* level of theory predicted the stable conformer correctly.     

Cation-π effects in the complexation of Na+ and K+ with Phe, Tyr, and Trp in the gas phase

Na⁺ and K⁺ gas-phase affinities of the three aromatic amino acids Phe, Tyr, and Trp were measured by the kinetic method. Na⁺ binds these amino acids much more strongly than K⁺, and for both metal ions the binding strength was found to follow the order Phe ≤ Tyr < Trp. Quantum chemical calculations by density functional theory (DFT) gave the same qualitative ordering, but suggested a somewhat larger Phe/Trp increment. These results are in acceptable agreement with predictions based on the binding of Na⁺ and K⁺ to the side chain model molecules benzene, phenol, and indole, and are also in reasonable agreement with the predictions from purely electrostatic calculations of the side-chain binding effects. The binding energies were compared with those to the aliphatic amino acids glycine and alanine. Binding to the aromatic amino acids was found to be stronger both experimentally and computationally, but the DFT calculations indicate substantially larger increments relative to alanine than shown by the experiments. Possible reasons for this difference are discussed. The metal ion binding energies show the same trends as the proton affinities.     

气相中CrO2+和H2反应的理论研究

用密度泛函UB3LYP/6-311++G(3df, 3pdpd)//6-311G(2dd, p)方法计算研究了在二重态和四重态两个势能面上的气相反应：CrO₂⁺ + H₂→CrO⁺+ H₂O. 对影响反应机理和反应速率的势能面交叉进行了讨论, 并运用Hammond 假设和Yoshizawa 等的内禀反应坐标(IRC)单点垂直激发计算的方法找出了势能面交叉点(crossing point (CP)). 运用碎片分子轨道(fragment molecular orbital(FMO))理论, 对初始复合物2IM1和4IM1的轨道相关进行了分析, 解释了CrO₂⁺活化H—H σ键及H₂迁移的机理.     

Structural and Theoretical Studies of a New CuI-CuI Complex Bearing Bulky Unsymmetrical Benzamidinate Ligand

Density functional theory(DFT) calculations unambiguously verify that there is little or no direct metal-metal bonding in the dinuclear copper(I) benzamidinate complex [Cu₂(L^RR')₂](2){L^RR'=[PhC(NR)(NR')]^-(R= 2,6-ⁱPr₂C₆H₃, R'=SiMe₃)} with a short Cu-Cu distance[0.24454(4) nm].     

Theoretical study of low-lying electronic states and emission spectra of the excimer ions NaHe and NaNe

Ab initio CASSCF calculations using the Gaussian basis set aug_cc_pVTZ developed by Dunning et al. specifically for calculations at the post-HF level was carried out for excimer NaHe⁺ and NaNe⁺ ions in order to determine spectroscopic characteristics and radiation lifetimes of their low-lying excited electronic states. The computed emission spectra of these were shown to be in good agreement with the experimental ones observed recently by Hammer et al. (Hyperfine Interactions 88 (1994) 151). Contrary to the earlier popular opinion, all excited electronic states of these ions, correlating with the limit Rg⁺+Na, and not just the radiating singlet states turn out to be bound. It was shown that under the conditions of an experiment similar to the one performed by Hammer et al., the excited triplet NaHe⁺(1³Σ⁺) states can decay as a result of their interactions with a high-energy Ar⁺ beam. This decay has to be accompanied with the formation of the ions He⁺, which in turn can interact with sodium atoms to yield the radiating NaHe⁺(2¹Σ⁺) states again and, thus to maintain the emission observed in the experiment.     

Phosphorous disulfide and its ions in the electronic ground state: a gas phase theoretical study

Ab initio molecular orbital theory and density functional theory calculations were performed on the electronic ground states of the open-shell PS₂ molecule and its singly charged ions. A comparison of the optimized molecular structures indicates as the stepwise one-electron reduction of the PS₂⁺ ion, to yield PS₂ and PS₂⁻, provokes a symmetric elongation of both PS bonds along with a bending of its linear equilibrium geometry. The ionization potential (IP), adiabatic electron affinity (EA_ad), and atomization energy (AE) of the open-shell PS₂ molecule were calculated at different levels of theory. The following values were obtained at the more realistic UMP4SDTQ/6-311+G(3df)//UHF/6-311+G(3df) level of theory: IP=8.32 eV, EA_ad=3.03 eV and AE=12.40 eV. At the same level of theory, the calculated vertical detachment energy (VDE) of the PS₂⁻ anion is 3.22 eV. The donor–acceptor complexes formed in the gas-phase upon interaction of either one or two ammonia molecules with PS₂⁺ were also investigated. The calculated gas-phase binding energies indicate that the formation of the bis-adduct is favored over that of the mono-adduct by a binding energy gain of about 20 kcal/mol.     

铁原子与氮分子间的相互作用——单端位构型

用杂化密度泛函B3LYP方法在6-311+G(d)基组水平上研究了Fe 原子与N2分子相互作用的单端位构型的直线形和弯曲形两种结构的平衡几何结构、电子结构、轨道布局及红外光谱等性质. 计算结果表明, 由于强的σ-σ电子对互斥作用, 基组态4s²3d⁶的Fe原子不能与N2分子发生化学作用; 当Fe 原子呈现可与N2之间发生σ-π授予反馈作用的激发组态时, Fe 与N2分子之间可形成稳定的结构; 在得到的多个电子态中, 能量最低的是直线形的1³∑^-, 比Fe(a⁵D)和N2(¹∑⁺g )能量高21.6 kJ·mol-1, 同时存在几个能量相近的电子态, 如1³∏、1³Φ; 弯曲形都是不稳定态, 可能是连接直线形和单侧双配位构型的过渡态; 单端位构型产物相对于基态的反应物均是热力学不稳定的; 单端位构型中Fe对N2的活化作用很小, N—N 键长增加不超过7 pm.     

DFT法研究离子液中EMIM+催化丁烯双键异构反应机理(II)

用密度泛函理论(DFT)在B3LYP/6-31G(d, p)的计算水平上研究了离子液中1-乙基-3-甲基咪唑阳离子(EMIM⁺)的4-H和5-H原子催化丁烯双键异构反应的可能途径，优化了反应体系的平衡态和过渡态的几何构型，分析了反应过程中键参数的变化，通过振动分析对平衡态和过渡态进行了验证. 计算结果表明, 离子液中的EMIM⁺首先通过4-H和5-H原子吸附丁烯, 进而催化丁烯的双键异构反应, EMIM⁺的4-H和5-H催化1-丁烯异构为2-丁烯的正反应活化能分别为204.2和207.3 kJ•mol^-1，逆反应活化能约为220.9和223.8 kJ•mol^-1， 反应为基元反应.     

Electronic states and radiative transitions in LiAr

Ab initio MRD-CI calculations have been carried out on the ground and the eight lowest excited electronic states of LiAr, correlating with excited Li atom states up to 3d ²D. The ground (X²∑⁺ (2s)) and 2 ²Σ⁺ (2p) electronic states are repulsive while the higher excited states show shallow Rydberg minima. Rates of radiative bound-bound and bound-free transitions have been also calculated.     

Structure and stability of (CuNO) isomers

Quantum-mechanical calculations have been performed on various isomers of the (CuNO)⁺ system. A ²Π ground state is found for the linear CuNO⁺ and CuON⁺ isomers and a ²A′ state for the bent CuNO⁺ and CuON⁺ isomers. Energy calculations indicate that the linear CuNO⁺ structure is the most stable, the bent CuNO⁺ and CuON⁺ and the linear CuON⁺ structures are at 0.86 eV, 0.99 eV and 1.04 eV above this respectively. In the CuNO⁺ → CuON⁺ interconversion between the linear isomers, three transition states are involved, whereas the bent CuNO⁺ isomer is found to be an intermediate species. The isomerization barriers, dissociation energies, equilibrium geometries and vibration frequencies are given for all isomers in their ground and first excited states.     

Kinetic study of the reaction H2O2+H→H2O+OH by ab initio and density functional theory calculations

Theoretical investigations on the kinetics of the elementary reaction H₂O₂+H→H₂O+OH were performed using the transition state theory (TST). Ab initio (MP2//CASSCF) and density functional theory (B3LYP) methods were used with large basis set to predict the kinetic parameters; the classical barrier height and the pre-exponential factor. The ZPE and BSSE corrected value of the classical barrier height was predicted to be 4.1 kcal mol⁻¹ for MP2//CASSCF and 4.3 kcal mol⁻¹ for B3LYP calculations. The experimental value fitted from Arrhenius expressions ranges from 3.6 to 3.9 kcal mol⁻¹. Thermal rate constants of the title reaction, based on the ab initio and DFT calculations, was evaluated for temperature ranging from 200 to 2500 K assuming a direct reaction mechanism. The modeled ab initio-TST and DFT–TST rate constants calculated without tunneling were found to be in reasonable agreement with the observed ones indicating that the contribution of the tunneling effect to the reaction was predicted to be unimportant at ambient temperature.     

过渡金属离子与烷烃反应机理的理论研究──镍离子(2D)与丙烷反应中氢分子的还原消除机理

以Ni⁺与C₃H₈反应作为过渡金属离子与烷烃反应的范例体系,用B₃LYP密度泛函方法计算了[Ni,C₃,H₈]⁺基态势能面上各驻点的构型、频率和能量,结果表明,该反应的H₂分子消除需经历两个基元步骤,即Ni⁺首先插入一级或二级C-H键,然后经H转移过渡态异构化为较稳定的中间体,继而解离产生H₂分子.计算的反应热为142.28kJ/mol,与相应的实验值(127.85kJ/mol)符合较好.     

新型Zn2+基金属有机框架结构的温度依赖的导电、发光性能及理论计算

Anovel four-fold interpenetrating metal-organic framework (MOF) (1) was obtained following reaction between Zn²⁺ and benzene-1, 3, 5-tribenzoate (H₃BTB). Single crystal analysis demonstrated that the framework featured a three-dimensional (10, 3) net anionic framework with dimethyl formamide (DMF) and H₂NMe₂⁺ encapsulated in channels along the b axis. Alternating current impedance measurements revealed an unusual temperature-dependent conductance. As the temperature was increased from 20℃ the conductance value increased from 0.36×10^-6 S·cm^-1 to a maximum value of 2.24×10^-5 S·cm^-1 at 160℃, and then began to decrease. A combination of molecular dynamics (MD) simulations and dielectric property measurements demonstrated that this conductance behavior could be attributed to the synergic effect of the enhanced mobility of the H₂NMe₂⁺ cation and removal of DMF as the temperature was increased. Furthermore, the transporting energy barrier was determined to be 0.20 eV, which confirmed that the conductance was caused by proton conductivity. This work indicated that the confinement of H₂NMe₂⁺ within the pores of MOFs is a promising method to induce electrical conductivity. Interestingly, the emission peak of 1 was blue-shifted when compared with that of H₃BTB. Density functional theory (DFT) calculations revealed that this phenomenon was caused by the disruption of delocalized π-bonds within the BTB^3- ligand in 1.     

Non-empirical molecular orbital studies of the possibility of ferromagnetic ordering in isoelectron-substituted ferrocarbon modifications

The vertical singlet-triplet (ST) splitting in the C₃H₆ molecule and C₂BH⁻₆ and C₂NH⁺₆ ions has been investigated by means of ab initio calculations. The molecular geometry was either taken as that corresponding to the UHF/6-31G^* or UHF/6-31+G^* energy minimum of the triplet configuration (for C₃H₆, C₂BH⁻₆, C₂NH⁺₆), or was extracted from the ferrocarbon crystal (for C₃H₆). Polarized split-valence basis sets (6-31G^*, 6-31+G^* and 6-311G^**) and fourth-order Møller-Plesset perturbation theory at the MP4SDTQ level of approximation provides more reliable ST splitting values, than the MP4SDQ level, the latter being the most accurate method used in our previous work. These calculations prove the presence of ferromagnetic ordering within the same quasi-graphite plane of ferrocarbon crystal. The presence of such ordering has been shown within the same quasi-graphite plane upon substitution of sp³ carbon atoms by ions B⁻, N⁺ and so on.     

Molecular structure and conformational stability of allylisocyanate—post-Hartree–Fock and density functional theory studies

The molecular structure and conformational stability of allylisocyanate (CH₂CHCH₂NCO) molecule was studied using the ab initio and DFT methods. The geometries of possible conformers, C-gauche (δ=120°, θ=0°) (δ=C=C–C–N and θ=C–C–N=C) and C-cis N-trans (δ=0° and θ=180°) were optimized employing HF/6-31G^*, MP2/6-31G^* levels of theory of ab initio and BLYP, B3LYP, BPW91 and B3PW91 methods of DFT implementing the atomic basis set 6-311+G(d,p). The structural and physical parameters of the above conformers were discussed with the experimental and theoretical values of the related molecules, methylisocyanate and 3-fluoropropene. It has been found that the N=C=O bond angle is not linear as the experimental result for both the conformers and the theoretical bond angle is 173°. The rotational potential energy surfaces have been performed at the HF/6-31G^*, and MP2/6-31G^* levels of theory. The Fourier decomposition potentials were analysed at the HF/6-31G^*, and MP2/6-31G^* levels of theory. The HF/6-31G^* level of theory predicted that the C-gauche conformer is more stable than the C-cis N-trans conformer by 0.41 kJ/mol, but the MP2 and DFT methods predicted the C-cis N-trans conformer is found to be more stable than the C-gauche conformer. The calculated chemical hardness value at the HF/6-31G^* level of theory predicted the C-cis N-trans form is more stable than C-gauche form, whereas the chemical hardness value at the MP2/6-31G^* level of theory favours the slight preference towards the C-gauge conformer.     

An ab initio and density functional theory study of the dimethylzinc-hydrogen selenide adduct: (CH3)2Zn:SeH2

The molecular structure (equilibrium geometry) and binding energy of the dimethylzinc (DMZn)-hydrogen selenide (H₂Se) adduct, (CH₃)₂Zn:SeH₂, have been computed with ab initio molecular orbital and density functional theory (DFT) methods and, where possible, compared with experimental results. The structure of the precursors DMZn and H₂Se are perturbed to only a small extent upon adduct formation. (CH₃)₂Zn:SeH₂ was found to be 3 kcal mol⁻¹ less stable than the precursors at the B3LYP/6-311 + G(2d,p)//B3LYP/6-311 + G(2d,p) level of computation, indicating that the (CH₃)₂Zn:SeH₂ adduct is unlikely to be a stable gas-phase species under chemical vapour deposition conditions. Further calculations at the B3LYP/6-311 + G(2d,p)//B3LYP/6-311 + G(2d,p) level of computation suggest that the 1:2 adduct species, (CH₃)₂Zn:(SeH₂)₂, is much less stable than the 1:1 adduct and consequently the precursors by 19 kcal mol⁻¹.     

DFT and CASPT2 study of two thermal reactions of nitromethane: C–N bond cleavage and nitro-to-nitrite isomerization. An example of the inverse symmetry breaking deficiency in density functional calculations of an homolytic dissociation

The reaction paths of nitromethane leading to the dissociation products or isomerization to methyl nitrite have been computationally investigated at the CAS-SCF and DFT levels of theory. Additionally, the CAS-SCF wave functions were used as reference in a second-order perturbation treatment, CASPT2, in order to obtain a good estimate for the activation energy of each reaction path. Both methods predict the isomerization as a concerted reaction. However, the behavior of the two approximations with respect to dissociation is rather different; while CASPT2 predicts a barrier height of (≈59 kcal/mol) in good accordance with the experimental activation energy (59.0 kcal/mol), B3-LYP/6-31G^* calculations overestimate the barrier for more than 30 kcal/mol. The DFT prediction of the dissociation channel exhibits inverse symmetry breaking, dissociating to the unphysical absurd CH₃^δ+ plus NO₂^δ−.