Potential functions of internal rotation in gauche-isomers of n-mononitroalkanes

Internal rotation in gauche-mononitroalkanes CH₃(CH₂) _n NO₂, n ≤ 7 is studied by means B3LYP/6-311++g(3df,3pd) and MP2/6-311++g(3df,3pd). Thirty six potential functions (V(φ)) are found for all rotations. It is shown that starting from a particular n value, the potential functions associated with certain molecular fragments change slightly during the lengthening of a hydrocarbon chain. Similar dependences V(φ) are presented in the form of generalized functions with averaged coefficients (V _av(φ)) that are transferable and recommended for use in molecular simulations. The rotation of tops without symmetry elements is considered.     

Potential functions of internal rotation in <Emphasis Type="Italic">n</Emphasis>-alkanes and its contribution to thermodynamic properties

The potential functions of braked internal rotation V(?) in n-alkanes (ethane, propane, butane, n-pentane, n-hexane, n-heptane) were calculated by ab initio and DFT methods with the 6-311++G(3df,3pd) basis set. The functions were approximated as a series of six cosines. The dependences of V(?) on the length of the hydrocarbon chain in n-alkanes were analyzed. The heights of the trans-cis and trans-gauche barriers and the differences between the energies of the trans and gauche conformers were calculated and compared with the experimental data. From the calculated geometric parameters and V(?), the contributions of the braked internal rotation to the enthalpy, entropy, heat capacity, and Gibbs free energy at 298 K were determined. The contributions of internal rotations are transferable within the framework of additive approaches. The generalized function V _av(?) for n-alkanes and averaged contributions of internal rotation of the C-C bonds and CH₃- and -CH₂- tops to the thermodynamic properties were suggested.     

Study of internal rotation of radical center in <Emphasis Type="Italic">n</Emphasis>-alkyl radicals

A quantum-mechanical study of internal rotation around C-C^· bond in n-alkyl radicals from C₂H₅ to C₇H₁₅ was carried out using B3LYP/6-311++G(3df, 3pd) approach. The values of barriers and local minima were found. Analysis of the distribution of electron density was carried out. By application of the methods of mathematical statistics different types of representation of the potential functions of internal rotation were analyzed and the optimal approximation was revealed. Contributions to the thermodynamic properties of the considered radicals were calculated. The generalized function of internal rotation was suggested for the radicals of the type C _n H_2n+1, n > 4.     

Theoretical investigations on analytical potential energy function and spectroscopic parameters for the state b3Πu of dimer 7Li2

The SAC‐CI (symmetry‐adapted‐cluster configuration‐interaction) method presented in Gaussian 03 program package is applied to investigate the adiabatic potential energy curves (PECs) of ⁷Li₂(b³Π_u). These calculations are performed at numbers of basis sets, such as 6‐311++G(3df,3pd), 6‐311++G(2df,2pd), 6‐311++G(df,pd), D95V++, D95(3df,3pd), D95(d,p), cc‐PVTZ, 6‐311++G and 6‐311++G(d,p). All the ab initio calculated points are fitted to the analytic Murrell‐Sorbie functions and then used to compute the spectroscopic parameters. The analytic potential energy function (APEF) for this b³Π_u state is reported. By comparison, the spectroscopic parameters reproduced by the APEF attained at 6‐311++G(2df,2pd) are found to be very close to the latest experimental findings. With the APEF obtained at the SAC‐CI/6‐311++G(2df,2pd) level of theory, a total of 62 vibrational states is found when J = 0. The complete vibrational levels, classical turning points, inertial rotation and centrifugal distortion constants for these vibrational states are also reported. The reasonable dissociation limit for this state is deduced using the calculated results at present. © 2007 Wiley Periodicals, Inc. Int J Quantum Chem, 2007     

Potential functions of internal rotations in n-mononitroalkanes

Internal rotation is studied in n-mononitroalkanes, CH₃(CH₂) _n NO₂, n ?? 7, with the use of the B3LYP/6-311++G(3df, 3pd) and MP2/6-311++G(3df, 3pd) models. Conformations are investigated, and 36 potential functions (V(??)) for all rotations are found. It is shown that as the hydrocarbon chain becomes longer, the potential functions that describe particular molecular fragments change only negligibly beginning from a certain n. Such dependences of V(??) are presented in the form of generalized functions with averaged coefficients (V(??)_av). The V(??)_av values can be recommended for use in simulations. In molecules with n ?? 2, the phenomenon of ??top interactions?? (??movement interactions??) and the gauche effect (the equality between the total energies of gauche ⁺, gauche ^?, and trans-conformers) are observed.     

Effect of free valence on the characteristics of internal rotation in <Emphasis Type="Italic">n</Emphasis>-alkyl radicals

A study of internal rotation in the radicals n-C _n H_2n+1C^·H₂, (2 ≤ n ≤ 7) was carried out for the case of rotation around the bonds not including the radical center. 21 potential functions of internal rotation V(φ) were calculated. The coefficients in V(φ) were shown to depend only on the immediate environment at the bond of rotation. Characteristics of internal rotation in n-alkyl radicals were compared with related parameters of the corresponding alkane molecules. The generalized function V _av(φ) with the coefficients defined only by the position of the bond of rotation in the hydrocarbon chain and possessing the transposition property were proposed. The functions V _av(φ) were recommended for the simulation of the structure and properties of large molecules containing hydrocarbon fragments. This work continues a systematic study on the characteristics of the internal rotation in the n-alkane molecules and the groups containing free valence in n-alkyl radicals.     

CH2＝CHCl与O(3P)反应的理论研究

用量子化学密度泛函理论和QCISD (Quadratic configuration interaction calculation)方法, 对O(³P)与CH₂CHCl的反应进行了理论研究. 在UB3LYP/6-311＋＋G(d,p), UB3LYP/6-31＋＋G(3df, 3pd)计算水平上, 优化了反应物、产物、中间体和过渡态的几何构型, 并在UQCISD(T)/6-311＋＋G(2df,2pd)水平上计算了单点能量. 为了确证过渡态的真实性, 在UB3LYP/6-311＋＋G(3df,3pd)水平上进行了内禀坐标(IRC)计算和频率分析, 并确定了反应机理. 研究结果表明, 反应主要产物为CH₂CHO和Cl.     

Theoretical acquirement of the red shift of nu(FH) upon complexation with Ne

Counterpoise (CP)-corrected geometry optimization and frequency calculation have been performed at MP2(FC) level of theory for the linear van der Waals complex FH...Ne. With the basis set 6-311++(2df, 3pd), CP-corrected frequency shift of nu(FH) is -0.4504 cm(-1), which agrees well with the experimental red shift of 0.4722 cm(-1).     

Effect of fluorination: Conformation of 2,6-difluoroanisole

The geometric structure and conformation of 2,6-difluoroanisole, 2,6-C₆H₃F₂OCH₃, has been determined with gas electron diffraction (GED) and quantum chemical calculations (MP2 and B3LYP with 6-311++G(2df,pd) basis sets). The GED intensities have been analyzed with a static as well as with a dynamic model. The static model resulted in a structure with near-perpendicular orientation of the O-CH₃ bond with a thermal average dihedral angle τ(C2C1-OC) = 70 ± 3°. With the dynamic model a perpendicular equilibrium structure and a potential function for internal rotation around the C-O bond with a very flat minimum at τ(C2C1-OC) = 90° and with a barrier of 1.8 ± 0.6 kcal/mol at τ(C2C1-OC) = 0° was derived. Quantum chemical calculations predict double-minimum potential functions for the electronic energies, which become single-minimum potentials upon addition of zero-point vibrational energies. The change of conformation from planar in anisole to perpendicular in 2,6-difluoroanisole has been rationalized by orbital interactions between the oxygen electron lone pairs and benzene ring orbitals and by steric repulsion.     

Methanesulfonamide in Superacids: Investigations of the CH3SO2NH3+ Cation

The preparation of protonated methanesulfonamide was carried out using the superacidic systems HF/AsF₅ and HF/SbF₅. The vibrational spectroscopic characterization was supported by quantum chemical calculations performed with the PBE1PBE method using the 6‐311G++(3df, 3pd) basis set. A remarkable long nitrogen–sulfur bond length of 1.804(6) Å was observed in a single‐crystal X‐ray structure analysis of [CH₃SO₂NH₃]⁺[Sb₂F₁₁]^–. It crystallizes in the orthorhombic space group P2₁/c with four formula units in the unit cell. Furthermore the crystal structure of CH₃SO₂NH₂ was revisited.     

AB-initio studies of N-O-F compounds. Internal rotation in hydroxylamine and its fluorinated derivatives

Ab-initio molecular orbital theory at both the minimal and extended basis set levels have been applied to the study of internal rotation in hydroxylamine and its fluorinated derivatives. The computed energies are analyzed in terms of a Fourier-type expansion of the potential function. The total potential function V(φ)can be dissected into onefold (V₁), twofold (V₂) and threefold (V₃) components and plots of these components together with V(φ) are given for each of the molecules studied herein. Additionally geometry optimizations have been carried out as a function of the internal rotation angle φ (φ = : NOX dihedral angle) for H₂NOH and F₂NOF. For H₂NOH geometry optimizations are found to be less important than for F₂NOF. In general the fluorinated hydroxylamines prefer a $\text{trans}$-conformation (φ = 180°) while hydroxylamine itself adopts the $\text{cis}$-conformation (φ = 0°) largely as a result of a lower dipole interaction (V₁ term) in the $\text{cis}$-conformation.     

A Theoretical Study of LiHe+ n , NaHe+ n , and MgHe+ n Complexes, with n=1, 2, 3, 4

The LiHe⁺ _n , the NaHe⁺ _n , and the MgHe⁺ _n complexes with n=1, 2, 3, 4 were studied using ab initio calculations with the MP2/6-311+G(3df, 3pd) method. The complexes are found to be stable. For the n=1 complexes, previous results were available and the calculations performed are in good agreement with those results. This lends credibility to the results obtained for the complexes with higher n.     

Theoretical study of reaction mechanism for Se + O<Subscript>3</Subscript>

The reaction mechanism of Se + O₃ on the singlet potential energy has been investigated at CCSD(T)/6-311++G(2df,2pd) level of theory based on the geometric parameters optimized at the B3LYP/6-311++G(3df,3pd) level of theory. The calculated results show that the reactants are firstly associated into the adduct Se–O₃ with any intrinsic barrier. Subsequently, through a variety of transformations of isomer Se–O₃, two kinds of products P₁(SeO₃(D_3h)) and P₂(SeO + ³O₂) are obtained. The breakage and formation of the chemical bonds in the reaction have been studied by the topological analysis of electronic density. The topological analysis results show that the ring transitional structure region does not only occur in cis-OSeOO → SeO₃(C_s) process but also occur in SeO₃(C_s) → SeO₃(D_3h).     

π-Complexes of transition metal tricarbonyls with cyclopolyenes and their boron analogs

The structures and stability of complexes of transition metal tricarbonyls (M = Co, Fe, Mn, Cr) with hydrocarbon and borane basal rings, (C _n H _n )M(CO)₃ and (B _n H _2n )M(CO) _n , respectively, as well as internal rotation of the metal tricarbonyl fragments in these systems were studied by the DFT B3LYP/6-311+G(df,p) method. Replacement of hydrocarbon basal fragments by isoelectronic borane rings leads to strengthening of the interaction between the apical and basal fragments, but does not change the trend in the heights of barriers to internal rotation. In all cases, the metal tricarbonyl fragment stabilizes the nonclassical planar form of the borane rings, whereas the complexes of metal tricarbonyls based on the classical nonplanar borane conformations are less thermodynamically stable.     

A Theoretical Study of the Kinetics of the Hydrogen Atom Abstraction Reactions from Cyclopropane by H,O (3P), and Cl (2P3/2) Atoms and OH Radicals

The rate constants of the H‐abstraction reactions from cyclopropane by H, O (³P), Cl (²P_3/2), and OH radicals have been calculated over the temperature range of 250?2500 K using two different levels of theory. Calculations of optimized geometrical parameters and vibrational frequencies are performed using the MP2 method combined with the cc‐pVTZ basis set and the 6–311++G(d,p) basis set. Single‐point energy calculations have been carried out with the highly correlated ab initio coupled cluster method in the space of single, double, and triple (perturbatively) electron excitations CCSD(T) using either the cc‐pVTZ, aug‐cc‐pVTZ, and aug‐cc‐pVQZ basis sets or the 6–311++G(3df,3pd) basis set. The CCSD(T) calculated potential energies have been extrapolated to the complete basis limit (CBS) limit. The Full Configuration Interaction (FCI) energies have been also estimated using the continued‐fraction approximation as proposed by Goodson (J. Chem. Phys., 2002, 116, 6948–6956). Canonical transition‐state theory combined with an Eckart tunneling correction has been used to predict the rate constants as a function of temperature using two kinetic models (direct abstraction or complex mechanism) at two levels of theory (CCSD(T)‐cf/CBS//MP2/cc‐pVTZ and CCSD(T)‐cf/6–311++G(3df,3pd)//MP2/6–311++G(d,p)). The calculated kinetic parameters are in reasonable agreement with their literature counterparts for all reactions. In the light of these trends, the use of the Pople‐style basis sets for studying the reactivity of other systems such as larger cycloalkanes or halogenated cycloalkanes is recommended because the 6–311++G(3df,3pd) basis set is less time consuming than the aug‐cc‐pVQZ basis set. Based on our calculations performed at the CCSD(T)‐cf/CBS//MP2/cc‐pVTZ level of theory, the standard enthalpy of formation at 298 K for the cyclopropyl radical has been reassessed and its value is (290.5 ± 1.6) kJ mol^?1.     

Densities and compressibilities of aqueous sodium carbonate and bicarbonate from 0 to 45°C

The densities and the sound speeds of aqueous NaHCO₃ and Na₂CO₃ solutions were measured from 0.05 to 1.0m and from 0 to 45°C. These data were fitted to functions of molality and temperature and were used to calculate the apparent molal volumes V_? and compressibilites κ_φ of these solutions. Polynomial expression for V_? and κ_φ as functions of molality and temperature have been determined. The partial molal volumes and compressibilities of these solutions and literature data have been used to determine the volume ΔV and compressibility Δκ changes for the ionization of carbonic acid in aqueous solutions. These values of ΔV and Δκ have been used to estimate the effect of pressure on the ionization constants for carbonic acid from 0 to 45°C. The calculated pressure coefficients are in good agreement with the measured values.     

FC(O)O自由基与NO2反应的量子化学研究

用量子化学DFT, MP2, G3和G3MP2方法对FC(O)O自由基与NO₂的反应机理进行了理论研究. 优化了反应势能面上各驻点的几何结构, 通过内禀反应坐标(IRC)计算和振动分析, 确认了反应中的过渡态, 并用过渡态理论(TST)计算了相关反应的速率常数.     

Theoretical Study on the Structures and Isomerization of Germylenoid GeH2LiCl

Using geometrical optimization and DFT method at the B3LYP/6-311++G (3df,3pd) level, four equilibrium geometries and one transition state of GeH2LiCl were identified, and the structures at the MP2/6-311++G(3df,3pd) level were calculated simultaneously. We also studied the solvent effects on the structures of Germylenoid GeH2LiCl at the B3LYP/6-311++G (3df,3pd) level. The two more stable forms are suggested to be the p-complex and three-membered ring. The vibrational frequencies and infrared intensities were computed at the B3LYP/6-311++G (3df,3pd) level.