7Li2(X1Σ+g)分子的振动能级、转动惯量及离心畸变常数

使用密度泛函理论B3LYP和B3P86，以及组态相互作用方法CCSD(T)和QCISD, 利用多个基组对⁷Li₂(X¹Σ⁺_g)分子的平衡核间距(R_e)、谐振频率(ω_e)和离解能(D_e)进行了计算, 发现在CCSD(T)/cc-PVQZ理论水平下得到的结果(R_{e相似文献}   

迭代的多组态相互作用方法

本文提出了迭代的组态相互作用方法(IMRCI). IMRCI被用来计算H₂O和CH₂(单重态和三重态)在平衡态和远离平衡时的电子能量. IMRCI、MP2、MP3、MP4、CCSD和CCSD(T)还用来计算H₂O、CH₂(单重态和双重态)和N₂的势能曲线. 这些计算结果表明IMRCI的结果不依赖初始的多参考态组态函数,并能较快地收敛到完全组态相互作用的计算结果. 相比完全组态相互作用的结果,仅需2至4次迭代,IMRCI的误差就能达到10^-5 hartree数量级. 另外,IMRCI还提供了寻找势能面上主要电子组态的一个有效途径. 这将有助于单参考态和多参考态理论模型得到准确的计算结果.     

Reaction of C2HCl2+O2: Combined TR-FTIR Spectroscopy and Electronic Structure

用时间分辨傅立叶变换红外发射光谱(TR-FTIR)和G3MP2//B3LYP/6-311G(d,p)水平的电子结构计算研究了环境化学中重要的二氯代乙烯自由基C₂HCl₂和O₂分子的基元反应通道和机理. 通过0.5 cm^-1高分辨的TR-FTIR发射光谱观察到三种振动激发态产物CO₂、CO和HCl,由光谱拟合得到CO和HCl的振动态分布,结合电子结构计算的反应势能曲线,提出反应机理和能量上最可能的反     

二氯亚锗基卡宾与甲醛生成锗杂双环化合物反应的从头算研究

用CCSD(T)//MP2/6-31G^*方法研究了单重态二氯亚锗基卡宾(Cl₂Ge=C:)与甲醛生成锗杂双环化合物的环加成反应机理,根据该反应的势能面可以预言,该反应有两条相互竞争的主反应通道．该反应所呈现的反应规律为：二氯亚锗基卡宾中C原子的2p空轨道因从氧端插入甲醛的π轨道而造成了中间体的形成;在中间体和两反应物之间,因二氯亚锗基卡宾和甲醛中的两成键π轨道发生了[2+2]环加成作用,从而分别生成了Ge-O对位的和Ge-O顺位的两四元环化合物;由于四元环化合物中卡宾C原子的不饱和性,进一步与甲醛作用,从而生成了两锗杂双环化合物．     

Cs2 23△1g态碰撞线归属和超精细结构解释

根据最新的Cs₂分子中间态A¹∑⁺_u -b³Πu全局解微扰获得的能级数据, 归属了通过微扰增强红外-红外光学双共振中间态A¹∑⁺_u 到上态2³△_1g的140条碰撞线, 包含之前实验观测到的221条2³△_1g←A¹∑⁺_u← X¹∑⁺_g 双共振跃迁[J. Chem. Phys. 128, 204313 (2008)], 重新计算了2³△_1g态的分子常数和势能曲线(排除54个微扰能级). 本次拟合得到的离心畸变常数和从经验公式计算得到的值相符合. 在亚多普勒激发光谱中,没有分辨出2³△_1g态的超精细结构. 对2³△_1g态的超精细结构进行初步计算,比较实验结果给出解释和说明.     

He-H2S复合物的六维从头算势能面和束缚态

采用[CCSD(T)]-F12a/aug-cc-pVTZ方法，同时在基组中引入中心键函数(3s3p2d1f1g)构建了He-H$_2$S复合物的高精度六维势能面. 除分子间振动坐标，同时考虑了H₂S分子内的v₁对称伸缩振动Q₁正则模、v₂弯曲振动Q₂正则模和v₃反对称伸缩振动Q₃正则模三种振动模式. 将计算得到的六维势能面在Q₁，Q₂和Q₃方向上分别做积分得到H₂S单体分别处于振动基态、v和v₃激发态下的He-H₂S的三个振动平均势能面. 计算结果表明，每个平均势能面都有一个T形全局极小值、一个平面局部极小值、两个平面内鞍点和一个平面外鞍点. 全局极小值的几何构型位于R=3.46 ?，θ=109.9°和φ=0.0°，势阱深度为35.301 ^-1. 在径向部分采用离散变量表象法和角度部分采用有限基组表象法并结合Lanczos循环算法计算了He-H₂S的振转能级和束缚态. 计算发现He-(para-H₂S)在H₂S的v₂和v₃区域的带心位移分别为0.025 cm^-1和0.031 cm^-1，而He-(ortho-H₂S)的带心位移分别为0.041 cm^-1和0.060 cm^-1，都表现为蓝移.     

Li2分子自旋一致激发态a3Σ+u和b3Πu的分析势能函数的从头算

使用对称性匹配簇-组态相互作用方法首次计算了Li₂分子自旋一致激发态a³Σ⁺_u和b³Π_u的离解能、平衡几何及其谐振频率。使用最小二乘法、利用Murrell-Sorbie函数形式拟合出了Li₂分子三重态的第一激发态a³Σ⁺_u 和第二激发态b³Π_u的完整势能函数，并计算了这两个态的光谱常数 (B_e, α_e, ω_e 和 ω_eχ_e) 和力常数 (f₂, f₃和f₄)。得到了Murrell-Sorbie函数形式既适用于基态、又适用于激发态的结论。将计算得到的激发态（a³Σ⁺_u和b³Π_u）的离解能、平衡几何及其谐振频率与实验结果及其它理论计算结果进行了比较。从比较的结果中可以清楚地看出，本文的计算结果在计算精度方面有很大的改进。     

BC5力学性质的第一性原理计算

采用平面波赝势密度泛函理论方法对0—60 GPa静水压下BC₅ 六角晶系P3m1和四方晶系I4m2结构的平衡态晶格常数、弹性常数、各向异性以及泊松比与Cauchy扰动进行了研究. 研究结果表明, BC₅的两种结构在高压下是稳定的, 且不可压缩性随着压强的增加而增大. 另外, 对其电子结构也进行了计算, 计算结果表明, BC₅存在一个较宽的带隙, 两种原子间有较强的共价杂化, 材料的性质主要由B的2p¹和C的2p²态电子共同决定. 压强对材料带隙和费米能级附近的态密度几乎没有影响, 只引起微小的漂移, 可推断其很好的高压稳定性.     

H2Ge=Si:与甲醛生成含锗螺硅杂环化合物反应机理的从头算研究

用MP2/AUG-CC-PVDZ 方法研究了单重态H₂Ge=Si:与甲醛环加成反应的反应机理,该反应有一条主反应通道. 该反应所呈现的反应规律为：两反应物通过[2+2]环加成反应首先生成了一锗杂四元环硅烯,由于该锗杂四元环硅烯中Si:原子的3p空轨道与甲醛的π轨道形成了π→p授受键,使锗杂四元环硅进一步与甲醛结合生成了一中间体. 由于该中间体中的Si:原子在过渡态之后发生了sp³杂化,该中间体经过渡态异构化为含锗的螺硅杂环化合物. 该研究结果从理论上揭示了单重态H₂Ge=Si:及其衍生物(X₂Ge=Ge:, X=H, Me, F, Cl, Br, Ph, Ar, …)与非对称性π 键化合物环加成反应的反应机制.     

OH, OCI, HOCI(1A')的从头算与势能曲线

采用Gassian09程序包中的多种方法对OH, OCI, HOCI分子的基态结构进行优化计算, 优选出QCISD/6-311G(2df), B3P86/6-311+G(2df)方法分别对OH(X²), OCI(X²)分子进行计算, 得到平衡核间距R_OH=0.09696 nm, R_OCI=0.1569 nm, 谐振频率ω(OH)=3745.37 cm^-1, ω(OCI)=892.046 cm^-1, 与实验结果非常符合. 用Murrell-Sorbie势能函数对OH和OCI分子的扫描势能点进行拟合, 其扫描点都与四参数Murrell-Sorbie函数拟合曲线符合得很好．优选出QCISD(T)/D95(df, pd)方法对HOCI分子进行计算, 得到基态为X¹A', 键长R_OH =0.0966 nm, 键角∠HOCI=102.3°, 谐振频率ω₁(a₁)=738.69 cm^-1, ω₂(b₂)=1260.25 cm^-1, 离解能D_e=2.24eV. 通过比较发现这些结果与实验值符合得很好,并优于文献报道的结果. 随后计算出了力常数, 在此基础上,推导出HOCI分子的多体展式势能函数.报道了HOCI分子对称伸缩振动势能图中在H+OCI →HOCI反应通道上有一鞍点, H原子需要越过1.74eV的能垒才能生成HOCI的稳定结构, 在Cl+OH→HOCI通道上不存在明显势垒, 容易形成稳定的HOCI分子.     

Anharmonic force field for methanol

An ab initio quartic anharmonic force field for methanol has been calculated at the equilibrium position using the CCSD(T) method for the structure and the harmonic potential energy surface, and the MP4(SDQ) method for the anharmonic part of the surface. A triple zeta basis set was employed with symmetrized curvilinear internal valence coordinates in all calculations. The internal coordinate force field constants have been transformed into force constants in the dimensionless normal coordinate representation for various isotopomers. Vibrational term values for CH₃OH, CH₃OD, CD₃OH, and CD₃OD have been obtained using second order perturbation theory. Particular care has been devoted to the inclusion of Fermi resonance interactions between different vibrational states. A good accuracy has been achieved in the calculation of the fundamentals for all the isotopomers, the mean absolute error being 5.8 cm^?1.     

The Equilibrium Structure of Silyl Fluoride

The experimental equilibrium structure of silyl fluoride has been determined using new sets of accurate rotational constants that have recently been obtained by taking into account the most important interactions between the excited vibrational states. The equilibrium structure has also been calculated at the CCSD(T) level of theory with the cc-pVQZ+1 basis set (including corrections for the core correlation). The anharmonic force field up to semidiagonal quartic terms has been calculated at the MP2 level of theory and the equilibrium structure has been derived from the experimental rotational constants and the ab initio rovibrational interaction parameters. Finally, the average structure of both ²⁸SiH₃F and ²⁸SiD₃F has been reevaluated and used to derive the equilibrium structure. These structures are compared and the experimental structure is found to be in slight disagreement with the other ones. The preferred structure is obtained by calculating the median value of the different structures. The results are r_e(SiF)=1.5907 (9) Å, r_e(SiH)=1.4696 (13) Å, ∠_e(HSiF)=108.32(15)°, and ∠_e(HSiH)=110.60(14)°.     

An Improved Anharmonic Force Field of Difluoromethanimine, F2C NH

The anharmonic force field of difluoromethanimine, F₂C NH, has been reinvestigated theoretically using a coupled-cluster singles and doubles approach, augmented for structural optimization and harmonic force field by a contribution of connected triple excitations, CCSD(T). The cubic and quartic force constants have been obtained by numerical derivatives computed from analytical quadratic force constants calculated by second-order Møller-Plesset perturbation theory, MP2. The quadratic force constants and the equilibrium structure of F₂C NH have then been scaled by a global least-squares fitting procedure to the spectroscopic data and parameters experimentally determined for this molecule. This force field, obtained in the internal coordinates space and therefore valid for all isotopomers of difluoromethanimine, yields a complete set of spectroscopic molecular constants providing a critical assessment of the experimental rotational and centrifugal distortion constants, fundamentals, overtones, and combination bands determined so far for F₂C NH. In addition, the final force field can be used to make predictions of all important vibrational and rotational parameters which should be accurate and useful for new spectroscopic investigations.     

The anharmonic force field of cis-1-chloro-2-fluoroethylene

A comprehensive anharmonic vibrational analysis of cis-1-chloro-2-fluoroethylene and its isotopomers has been performed on the basis of a complete ab initio quartic force field constructed by means of second-order Møller-Plesset perturbation theory (MP2) and the coupled-cluster singles and doubles approach, augmented for structural optimization and harmonic force field by a contribution of connected triple excitations (CCSD(T)). The theoretical force field was scaled by global least-squares fitting to all spectroscopic data and parameters experimentally determined for this molecule. This final force field, employing standard perturbation theory, yields a complete set of spectroscopic molecular constants providing a critical assessment of experimental rotational and centrifugal distortion constants, fundamentals, overtones, and combination bands determined over many years. Effects of Fermi and Darling-Dennison resonances were included by matrix diagonalization.     

Theoretical interpretation of the vibrational spectrum of bicyclo[1.1.0]butane in terms of an ab initio anharmonic model

The anharmonic vibrational IR and Raman spectra of the bicyclo[1.1.0]butane molecule have been calculated in the range of up to 4000 cm^?1 using a numerical and analytical realization of the van Vleck second-order operator perturbation theory. Cubic and quartic force constants in normal coordinates, as well as cubic surfaces of the dipole moment and polarizability, have been found by numerical differentiation of the corresponding first and second derivatives calculated by the MP2/cc-pVTZ quantum-mechanical method. In order to increase the prediction accuracy of vibrational transitions, corresponding harmonic frequencies have been obtained by the CCSD(T)/cc-pVTZ high-precision quantum mechanical method. The anharmonic intensities of the IR and Raman spectra have been calculated using canonical transformations of the operators of the dipole moment and polarizability expanded into a Taylor series around the equilibrium configuration. The assignment of experimental vibrational bands in the IR and Raman spectra has been analyzed. It has been shown that the anharmonic calculation based on the above-described procedure of combining more exact harmonic frequencies with the anharmonic force field obtained with a more economical method makes possible the reliable interpretation of the majority of spectral bands, including Fermi and Darling-Dennison resonances.     

Ab initio anharmonic force field and equilibrium structure of vinyl bromide

The quadratic, cubic, and semi-diagonal quartic force field of vinyl bromide has been calculated at the MP2 level of theory employing a basis set of triple-ζ quality including a relativistic pseudopotential on bromine. A semi-experimental equilibrium structure has been derived from experimental ground state rotational constants and rovibrational interaction parameters calculated from the ab initio force field. This structure is in excellent agreement with the ab initio structure calculated at the CCSD(T) level of theory using a basis set of quadruple-ζ quality and an offset correction. The experimental mass-dependent r_m structures are also determined and their accuracy is discussed.     

The infrared spectrum of isoxazole in the range 600–1400 cm−l,including a high-resolution study of the v 7(A′) band at 1370.9 cm−1 and the v 16(A″) band at 764.9 cm−l,together with ab initio studies of the full spectrum

Abstract

The high resolution infrared gas phase spectrum of isoxazole in the range 600–1400 cm^?1 has been recorded and more precise centres obtained for a number of bands; analyses of the v ₇(A′) band at 1370.9cm^?1 and the v ₁₆(A″) band at 764.9cm^?1 have been performed. Use of the Watson Hamiltonian, A-reduction, III^r-representation and simultaneous analysis of the present IR and previous microwave data, has led to rotation constants and quartic centrifugal distortion constants Δ _J , Δ _JK , ΔK, δ _J and δ _K for the ground state and for the v ₁₆ vibrationally excited states. The equilibrium structures and the derived harmonic frequencies have been calculated by ab initio methods using triple zeta+polarization (TZVP) and cc-pVTZ basis sets, with MP2, MP4 and CCSD(T) methods. At each methodology, for closest numerical agreement between the calculated and observed rotation constants, the optimum basis set seems to be TZVP rather than cc-pVTZ basis sets. However, the order of the highest A″ and lowest A′ symmetry vibrations is only resolved by the cc-pVTZ basis set with the MP4 methodology, which does generate the experimental sequence (v ₁₄>v ₁₃) The CCSD(T) methodology does not lead to significant difference over either MP2 or MP4 with the TZVP basis set.     

The anharmonic force field and equilibrium structure of methane

The anharmonic force field of methane has been refined to fit spectroscopic data from the isotopic species ¹²CH₄, ¹³CH₄, ¹²CH₄, ¹²CH₃D, ¹²CHD₃ and ¹²CH₂D₂. Six of the thirteen cubic force constants have been determined experimentally, the remaining cubic constants being fixed at values derived from ab initio calculations. The quartic force field is very crude, in that only f_rrrr has been refined. It is concluded however that the cubic and quartic force fields, even though they are subject to limitations, provide a considerable improvement in the experimental determination of the r _e structure and the quadratic force field. The equilibrium bond length is found to be r _e(CH) = 1·085₈ ± 0·001 Å.     

Ab initio anharmonic force field and equilibrium structure of propene

The quadratic, cubic and semi-diagonal quartic force field of propene has been calculated at the MP2 level of theory employing a basis set of triple-ζ quality. A semi-experimental equilibrium structure has been derived from experimental ground state rotational constants and rovibrational interaction parameters calculated from the ab initio force field. This structure is in excellent agreement with the ab initio structure calculated at the CCSD(T) level of theory using a basis set of quintuple-ζ quality and a core correlation correction. The experimental mass-dependent r_m structures are also determined and their accuracy is discussed. The use of isolated CH stretching frequencies is shown to be a good method to determine CH bond length.     

Ab initio study of spectroscopic properties of RgCl (Rg=He,Ne, Ar,Kr) and their anions

Spectroscopic properties of HeCl, NeCl, ArCl, KrCl and their anions HeCl^?, NeCl^?, ArCl^? and KrCl^? in their ground state have been studied in detail using ab initio MP2, CCSD and CCSD(T) methods. These neutral molecules and their anions are weakly bound and their spectroscopic constants have been estimated using a method developed recently for calculating the spectroscopic constants of weakly bound molecule in Lennard–Jones potential. The net attractive force and the distance at which the net attractive force is greatest, have been calculated to get the physical picture. Most of the spectroscopic constants are first predicted. The calculated equilibrium bond length, dissociation energy and harmonic frequency agree very well with the experimental and theoretical values wherever available.