Semiexperimental equilibrium molecular structures of the maleimide and phthalimide

ABSTRACT

Semiexperimental (SE) equilibrium molecular structures of the title compounds are determined using rotational and ab initio data. Cubic force constants for the parent molecules and a number of isotopologues are calculated at the B2PLYP double hybrid functional with the correlation-consistent triple-ζ cc-pVTZ basis set. Rovibrational and electronic corrections necessary for the transformation of observed ground-state rotational constants to equilibrium ones are calculated using cubic force constants and rotational g tensors. The SE structure parameters are compared with those obtained with CCSD(T) method and basis set of quadruple-ζ quality.

Abbreviations: MP2: Møller–Plesset perturbation theory; CCSD(T): coupled-cluster theory including single and double excitations augmented by a perturbational estimate of the effects of connected triple excitations; VnZ: cc-pVnZ, Dunning's correlation-consistent basis, where n?=?T or Q; CVnZ: cc-pCVnZ, Dunning's correlation-consistent basis, where n?=?T or Q; wCVnZ: cc-pwCVnZ, Dunning's correlation-consistent basis, where n?=?T or Q; AwCVQZ: aug-cc-pwCVQZ, Dunning's correlation-consistent basis; AE: all-electrons; FC: frozen core; QM: quantum mechanics; MAD: mean absolute deviation; SE: semiexperimental equilibrium structure; BO: best ab initio Born–Oppenheimer composite structure; HOMA: harmonic oscillator model of aromaticity; ICSS: iso-chemical shielding surface (isosurface of magnetic shielding value or isosurface of NICS with inverted sign); ICSSZZ: component of magnetic shielding tensor perpendicular to molecular plane; NICS: nuclear independent chemical shift; AIM: atoms in molecules method; ACID: anisotropy of current induced density     

Experimental,semi-experimental and ab initio equilibrium structures

The determination of equilibrium structures of molecules by spectroscopic methods or by quantum mechanical calculations is reviewed. The following structures are described in detail: experimental equilibrium structures, empirical structures, semi-experimental structures and ab initio structures. The approximations made by the different methods are discussed and their accuracies are compared.     

7LiH分子基态及若干激发态的平衡几何及垂直激发能的从头算

使用“对称性匹配簇-组态相互作用方法”(SAC/SAC-CI),在多种基组下计算了7LiH分子X1Σ 、A1Σ 、B1Π及b3Π态的平衡几何,并将由“几何优化”得到的相应各态的平衡几何与“单点能扫描”得到的结果进行了比较。比较的结果表明,由“几何优化”得到的相应各态的平衡几何,与“单点能扫描”得到的结果存在着差异。分析的结果表明,在完全活性空间中,由“SAC/SAC-CI”方法进行“单点能扫描”得到的结果,比“几何优化”得到的结果更加合理。首次报告了使用6-311G(3df,3pd)基组进行“单点等扫描”得到的相应各态的平衡几何。其值分别是:基态(X1Σ )为0.1588 nm、单重态的第一激发态(A1Σ )为0.2487 nm、单重态的第二激发态(B1Π)为0.2434 nm、三重态的第二激发态(b3Π)为0.1958 nm。这一计算结果与实验值非常接近。还研究了从基态到上述相应各态的垂直激发能,在基态的平衡位置处,其值分别为(A1Σ ←X1Σ )3.613 eV(、B1Π←X1Σ )4.612 eV和(b3Π←X1Σ )4.233 eV。与其它理论计算结果进行比较后得出,本文的计算结果非常接近于使用很复杂的计算方法获得的结果。     

Structure prediction and aromaticity of acenes and phenylenes series. A combination method between asymmetric Kekulé structures

The combination method between asymmetric Kekulé structures (CMAK) was expanded to the structure prediction of a series of acenes and phenylenes. The structures predicted by the CMAK correspond to those calculated by the ab initio molecular orbital (MO) and B3LYP density functional methods. The CMAK can characterize the structures. The aromaticity for the whole ring and each ring in the treated compounds was estimated by the index of deviation from aromaticity (IDA). The estimated aromaticity corresponds fairly well to the characterization of the structure predicted by the CMAK. The predicted structures of linear acenes reveal the aromaticity of the central ring and also explain its reactivity. The side ring in [n]phenacene shows high aromaticity. The critical difference in the structure and aromaticity for the central six‐membered ring of the isomers benzo[1,2:4,5]dicyclobutene and benzo[1,2:5,6]dicyclobutene was explained. Copyright © 2012 John Wiley & Sons, Ltd.     

A refined estimate of the bond length of methane

The atmospheric reaction of H₂S with Cl was investigated using high level ab initio calculations and Canonical Variational Transition State Theory (CVTST). The adduct formation step is the dynamical bottleneck, and the rate constant was calculated to be 1.2 × 10^?9 cm³ molecule^?1 s^?1, which is around ten times greater than the upper experimental value. Additional ab initio classical trajectory calculations show that the adduct formed in the initial collision can easily dissociate, recrossing the variational transition state. The stabilization of this species depends on the vibrational excitation of H₂S molecule, which requires an almost collinear SH-Cl collision. These dynamical effects provide an explanation for the substantial error in the rate constant obtained using CVTST.     

茂金属配合物[(eat5-C5H4R)Mo(CO)3 ]2(R: SiMe3 ,Si2Me5)的电子结构研究

运用G98W ,采用Lanl2dz基组 ,对茂金属配合物 [(eat5 C5H4R)Mo(CO) 3 ]2 (R :SiMe3 ,Si2 Me5)进行从头算研究 ,探讨配合物结构单元的稳定性、分子轨道能量、原子净电荷布居规律 ,以及一些前沿分子轨道的组成特征等 ,结果表明 ,标题配合物结构在能量上是稳定的 ,作为结构单元而存在 .     

Deprotonation and radicalization of glycine neutral structures

Ab initio calculations at MP2/6‐311++G(d,p) theoretical level were performed to study the deprotonation and radicalization processes of 13 glycine neutral structures (A. G. Császár, J. Am. Chem. Soc. 1992; 114 : 9568). The deprotonation processes to glycine neutral structures take place at the carboxylic sites instead of α‐C or amido sites. Two carboxylic deprotonated structures were obtained with the deprotonation energies calculated within the range of 1413.27–1460.03 kJ · mol^?1, which are consistent with the experimental results. However, the radicalization processes will take place at the α‐C rather than carboxylic O or amido sites, agreeing with the experimental results. Seven α‐C radicals were obtained with the radical stabilization energies calculated within the range of 44.87–111.78 kJ · mol^?1. The population analyses revealed that the main conformations of the neutral or radical state are constituted by several stable structures, that is, the other structures can be excluded from the future considerations and thus save computational resources. Copyright © 2007 John Wiley & Sons, Ltd.     

PuH2分子电子结构的DVM研究

关于钚的氢化物的分子结构和分子光谱公开解密的资料与数据甚少.基于密度泛函理论的全数值自洽场计算方法——离散变分方法(DVM)，数值解相对论的Dirac方程，在自由的钚原子和氢原子波函数的数值基及原子能级基础上计算了全电子的PuH2分子电子结构.得到PuH2分子基态最佳参数为键长Pu—H=0208617nm，键角θ°(H—H)=115.011°，轨道总能量为-19838.6630 a.u.，费米能级EF=-12.571eV. 比较了冻芯与非冻芯全电子计算结果.     

理论研究VTiTaNbAlx高熵合金的结构与弹性力学性质

实验已证明VTiTaNbAlx高熵合金(HEAs)为单相固溶体,它采用了体心立方结构. 在这篇文章中,我们使用基于密度泛函理论的饼模轨道(EMTO)结合相干势近似(CPA)方法,计算并分析了此高熵合金体系的平衡体性质,弹性常数及多晶弹性模量. 结果表明：此系列高熵合金符合单相高熵合金的理论判据,具有较好的内在塑性,等摩尔比的VTiTaNb高熵合金趋于弹性各向同性. 随着Al含量的增加,此系列高熵合金的弹性各向异性趋于增大,但对多晶弹性模量几乎没有影响;同时讨论了基于弹性常数计算的德拜温度.     

Accurate equilibrium structures for small polyatomic molecules,radicals and carbenes

The paper reports on recent efforts to establish accurate equilibrium structures for small polyatomic molecules, radicals and carbenes most of which are of relevance to interstellar cloud chemistry, combustion processes or atmospheric chemistry. Among these are the well–known interstellar cyanopolyynes HC₃N and HC₅N, members of the series NC_{2 n} N, HC_{2 n ?+?1}P and NC_{2 n} P, linear silicon carbides of type SiC_{2 n} and pure carbon chains up to C₁₄, the radicals HC₃O, HOCO and CH₂CHO as well as cumulene carbenes of type H₂C _n . Whenever possible, a mixed experimental/theoretical procedure is employed which makes use of accurate experimental values for the ground–state rotational constants of a sufficiently large number of different isotopomers plus the results of coupled cluster calculations (variant CCSD(T)). In less favourable cases, the transfer of well–established correction parameters as developed from related smaller molecules appears to be the method of choice.     

理论研究VTiTaNbAl_x高熵合金的结构与弹性力学性质

实验已证明VTiTaNbAl_x高熵合金(HEAs)为单相固溶体,它采用了体心立方结构.在本文中,我们使用基于密度泛函理论的饼模轨道(EMTO)结合相干势近似(CPA)方法,计算并分析了此高熵合金体系的平衡体性质,弹性常数及多晶弹性模量.结果表明:此系列高熵合金符合单相高熵合金的理论判据,具有较好的内在塑性,等摩尔比的VTiTaNb高熵合金趋于弹性各向同性.随着Al含量的增加,此系列高熵合金的弹性各向异性趋于增大,但对多晶弹性模量几乎没有影响;同时讨论了基于弹性常数计算的德拜温度.     

Molecular Dynamics Simulations of Liquid Phosphorus at High Temperature and Pressure

By performing ab initio molecular dynamics simulations, we have investigated the microstructure, dynamical and electronic properties of liquid phosphorus （P） under high temperature and pressure. In our simulations, the calculated coordination number （CN） changes discontinuously with density, and seems to increase rapidly after liquid P is compressed to 2.5 g/cm3. Under compression, liquid P shows the first-order liquid-liquid phase transition from the molecular liquid composed of the tetrahedral P4 molecules to complex polymeric form with three-dimensional network structure, accompanied by the nonmetal to metal transition of the electronic structure. The order parameters Q6 and Q4 are sensitive to the microstructural change of liquid P. By calculating diffusion coefficients, we show the dynamical anomaly of liquid P by compression. At lower temperatures, a maximum exists at the diffusion coefficients as a function of density; at higher temperatures, the anomalous behavior is weakened. The excess entropy shows the same phenomena as the diffusion coefficients. By analysis of the angle distribution functions and angular limited triplet correlation functions, we can clearly find that the Peierls distortion in polymeric form of liquid P is reduced by further compression.     

OD、OT、DT分子基态的结构和解析势能函数

本文采用密度泛函方法(B3LYP)和组态相关方法(QCISD(T))优化计算了OD、OT、DT分子基态(X2Ⅱ)的平衡结构、振动频率和离解能.根据原子分子反应静力学原理.导出了OD、OT、DT分子基态(X2 Ⅱ)的合理离解极限,采用最小二乘法拟合Murrell-Sorbie函数得到了相应的势能函数和与该基态相对应的光谱常数(Be,ae,we和wexe),计算结果与实验数据符合得相当好.     

Ab Initio Investigation of the Microspecies and Energy in Hydrated Strontium Ion Clusters

Quantum chemistry calculations were used to study the structure and energy of strontium (Sr) ion hydrated clusters [Sr(H₂O)_1?25]²⁺. The saturated hydration number of the first hydration layer of Sr²⁺ was 8, and the hydration distance was 2.58 Å. The second hydration layer had 1–9 hydration numbers, and the hydration distance was in the range of 4.4–4.6 Å. This work also developed the relationship between the thermodynamic data (average water binding energy E_n and successive water binding energy ΔE_n,n?1, etc.) of the aforementioned low-energy structure and the hydration structures. The first hydration layer was formed by the strong electrostatic interaction between Sr²⁺ and water molecules, and the decrease in ΔE_n,n?1 was relatively large. Hydrogen bonds were formed between water molecules of the second hydration layer and water molecules of the inner layer, and the decrease in ΔE_n,n?1 was relatively small. When one water molecule was added beyond the second hydration layer, ΔE_n,n?1 was close to the hydrogen bond energy 8.88 kcal/mol (37.1 kJ/mol) of dimer water molecule, indicating that there was very weak interaction between Sr²⁺ and the water molecules beyond the second hydration layer.     

蓝宝石在高压下光学性质及能带结构的从头算模拟

采用量子力学从头算和赝势平面波基组以及GGA-PBE交换相关函数对蓝宝石(α- Al2O3)窗口材料在0－1000GPa静水压力作用下光学性质及能带结构进行了研究。结果表明, 在静水压力作用下可以观察到蓝宝石一直保持良好的透明性,前沿带隙随着压力的增大先变大后变小,而且部分键长有明显变化,即蓝宝石单晶结构在加压过程中发生了原子位置移动而进行了位置重构。     

Electronic structure and optical properties of the red and yellow mercuric iodides

With the help of the ab initio full-potential linearized augmented plane wave (FPLAPW) method, calculations of the electronic structure and linear optical properties are carried out for red HgI₂ and yellow HgI₂. It is found that the red HgI₂ has a direct gap of 1.22834 eV and the yellow HgI₂ has an indirect gap of 2.11222 eV. For the red HgI₂, the calculated optical spectra are qualitatively in agreement with the experimental data. Furthermore, the origins of the different peaks of ε ₂ (ω ) are discussed. Our calculated anisotropic dielectric function of the red HgI₂ is a nice match with the experimental results. Our calculated results are able to reproduce the overall trend of the experimental reflectivity spectra. Although no comparable experimental and theoretical results are available, clearly, the above proves the reliability of our calculations, suggesting that our calculations should be convincing for the yellow HgI₂. Finally, the different optical properties are discussed.     

Concentration and temperature dependent interaction studies using dielectric and thermodynamic methods on mixtures of anisole with o-toluidine and m-toluidine

Molecular interactions in mixtures of anisole with o-toluidine and anisole and m-toluidine have been studied at three different temperatures using the dielectric method with measurements of the static permittivity and permittivity at optical frequency. From the measured values, the Kirkwood correlation parameter, Bruggeman parameter, excess permittivity and thermodynamic excess free energy were computed for the mixtures. Positive and negative values of excess permittivity were obtained for both mixtures. The excess free energy for the anisole+o-toluidine mixture is positive at all three temperatures, whereas mixed values (positive and negative) are obtained for the anisole+m-toluidine mixture. Alignment of the dipoles in both mixtures was identified by Kirkwood factors. The investigation shows that the interaction between the components changes systematically with concentration and temperature and the change is minimum.