LaF分子结构与基态X1Σ+势能曲线研究

用能量一致相对论有效核芯势和含极化函数4f2g和弥散函数1s1p1d的价基组, 在各种计算水平上计算了LaF分子结构、振动频率和离解能. 根据原子分子反应静力学原理导出LaF分子基态可能的电子状态和离解极限, 用密度泛函理论中的B3LYP方法计算了基态X1Σ+势能曲线, 拟合得到了Murrell-Sorbie解析势能函数及其在平衡位置附近的Dunham展开式, 由此计算的振转常数和实验光谱数据完全吻合. 得到的解析势能函数可用于计算振转光谱精细跃迁结构和原子分子碰撞反应动力学过程, 具有重要的实用意义.     

LaCl分子结构与基态X1Σ+势能函数

用能量一致相对论有效核芯势和参阅文献基础上添加极化函数4f2g的价基组,在密度泛函理论(DFT)、多体微扰MPn和组态相关理论QCISD水平上计算了LaCl分子结构、离解能和振动频率.根据原子分子反应静力学原理,导出LaCl分子基态可能的电子状态和离解极限,用DFT中的B3LYP方法计算了基态X1Σ+势能曲线,拟合得到了MurrellSorbie解析势能函数及其在平衡位置附近的Dunham展开式,由此计算的振转常数与实验光谱数据完全符合.得到的解析势能函数可用于计算振转光谱精细跃迁结构和原子分子碰撞反应动力学过程 关键词： LaCl 相对论有效核芯势 解析势能函数 振转光谱常数     

LaCl分子结构与基态X 1Σ+势能函数

用能量一致相对论有效核芯势和参阅文献基础上添加极化函数4f2g的价基组,在密度泛函理论(DFT)、多体微扰MPn和组态相关理论QCISD水平上计算了LaCl分子结构、离解能和振动频率.根据原子分子反应静力学原理,导出LaCl分子基态可能的电子状态和离解极限,用DFT中的B3LYP方法计算了基态X 1Σ+势能曲线,拟合得到了Murrell-Sorbie解析势能函数及其在平衡位置附近的Dunham展开式,由此计算的振转常数与实验光谱数据完全符合.得到的解析势能函数可用于计算振转光谱精细跃迁结构和原子分子碰撞反应动力学过程.     

LaF分子基态X1Σ+分析势能函数计算

用原子分子反应静力学原理导出LaF分子可能的电子状态和离解极限.在相对论有效核芯势RECP(Relativistic Effective Core Potential)近似下,用密度泛函理论中的B3LYP方法优化了LaF分子单、三重态平衡几何结构,计算了基态X1Σ+的振动基频和离解能.在计算出来的一系列单点势能基础上,用非线性最小二乘方法拟合出基态Murrell-Sorbie势能曲线,得到分析势能函数,由此计算出相应光谱常数ωe、Be、αe、ωeχe的理论值并和实验测量的振转光谱比较,结果非常吻合.另外还比较了用两种不同有效势得到的分析势能函数和光谱参数,以能量一致相对论有效势ECEP(Energy Cosistent Relativistic Effective Potential)得到的结果最好.     

LaF分子基态X~1Σ~ 分析势能函数计算

用原子分子反应静力学原理导出LaF分子可能的电子状态和离解极限。在相对论有效核芯势RECP(RelativisticEffectiveCorePotential)近似下 ,用密度泛函理论中的B3LYP方法优化了LaF分子单、三重态平衡几何结构 ,计算了基态X1Σ 的振动基频和离解能。在计算出来的一系列单点势能基础上 ,用非线性最小二乘方法拟合出基态Murrell Sorbie势能曲线 ,得到分析势能函数 ,由此计算出相应光谱常数ωe、Be、αe、ωeχe的理论值并和实验测量的振转光谱比较 ,结果非常吻合。另外还比较了用两种不同有效势得到的分析势能函数和光谱参数 ,以能量一致相对论有效势ECEP(EnergyCosistentRelativisticEffectivePotential)得到的结果最好。     

基于核运动效应下的H同位素双原子分子的解析势能函

在加入核运动效应修正下的Born-Oppenheimer近似电子能量的基础上, 采用QCISD(T)/ aug-cc-pvqz方法计算出H同位素双原子分子（H₂, HD, HT, D₂, DT,T₂）的势能函数参数, 获得体现H同位素分子质量差异下的势能函数。 并在此基础上导出H同位素分子的力常数和光谱数据。 同时对于OH, OD和OT分子采用QCISD/aug-cc-pvtz方法计算, 同样获得了这些分子对应的势能函数、 力常数和光谱数据。Based on the correction of the electron energy under Born Oppenheimer approximation using nuclear motion effect, the parameters of potential energy functions for hydrogen isotopic diatomic molecules (H₂, HD,HT,D₂, DT,T₂) are calculated with QCISD (T) method and aug-cc-pvqz basis set,and those potential energy functions that indicate the differences from the masses of hydrogen isotopic atoms are obtained. The force constants and spectroscopic data of those molecules are calculated as well. The potential energy functions, force constants, and spectroscopic data of the isotopic diatomic molecules OH, OD,and OT are also derived using QCISD method and aug-cc-pvtz basis set.     

AlN,GaN和InN分子基态的结构和解析势能函数(英文)

采用密度泛函理论的B3LYP/6-311+G(3df)方法优化计算了A1N,GaN和InN分子基态的平衡结构、振动频率和离解能.根据原子分子反应静力学原理,导出了A1N,GaN和InN分子的合理离解极限,利用Murrell-Sorbie势能函数和从头算结果得到基态相应的解析势能函数并由光谱数据和解析势能函数的关系计算了基态的光谱数据(α_e,B_e,ω_e和ω_ex_e),计算结果与实验数据符合得相当好.     

Analytical Potential Energy Function for the Ground State X1∑+ of Lanthanum Monofluoride

The equilibrium geometry, harmonic frequency and bond dissociation energy of lanthanum monofluoride have been calculated using Density-Functional Theory (DFT), post-HF methods MP2 and CCSD(T) with the energyconsistent relativistic effective core potentials. The possible electronic state and reasonable dissociation limit of the ground state of LaF are determined based on atomic and molecular reaction statics. Potential energy curve scans for the ground state X 1∑+ have been performed at B3LYP and CCSD(T) levels, due to their better results of harmonic frequency and bond dissociation energy. We find that the potential energy calculated with CCSD(T) is about 0.6 eV larger than the bond dissociation energy, when the internuclear distance is as large as 0.8 nm. The problem that single-reference ab initio methods do not meet dissociation limit during calculations of lanthanide heavy-metal elements is analyzed. We propose the calculation scheme to derive the analytical Murrell-Sorbie potential energy function. Vibrotational spectroscopic constants Be, ωe, ωeχe, αe, βe, De and He obtained by the standard Dunham treatment coincide well with the results of rotational analyses on spectroscopic experiments.     

钒氢分子及离子的势能函数与垂直电离势

为了搞清储氢材料的机理,需了解VHn(n=0、 1、 2)分子及离子体系势能函数和稳定性的信息,本工作用原子分子反应静力学原理推导出了VHn(n=0、 1、 2)的基态电子状态及其离解极限.对H原子采用6-311 G**基组,对V原子采用SVP全电子基组,用B3PW91方法计算了它们的平衡几何、离解能,在此基础上分别计算了VH,VH 1的Murrell-Sorbie解析势能函数和基态VH 2的解析势能函数及其对应的力常数、光谱参数和垂直电离势.计算表明VH 离子的2Σ 和4Δ以及VH2 离子的1Σ 均具有对应于离子稳定平衡结构的极小点,说明它们可稳定存在.而VH (6Σ )、基态的VH2 (3Φ)和VH2 (5Σ )离子的离解能太小,应是不稳定的.     

The molecular structure and the analytical potential energy function of S2^- and S3^-

In this paper, the equilibrium geometry, harmonic frequency and dissociation energy of S2^- and S3^- have been calculated at QCISD/6-311＋＋G（3d2f） and B3P86/6-311＋＋G（3d2f） level. The S2^- ground state is of 2IIg, the S3^- ground state is of 2B1 and S3^- has a bent （C2v） structure with an angle of 115.65° The results are in good agreement with these reported in other literature. For S3^- ion, the vibration frequencies and the force constants have also been calculated. Base on the general principles of microscopic reversibility, the dissociation limits has been deduced. The Murrell-Sorbie potential energy function for S2^- has been derived according to the ab initio data through the least- squares fitting. The force constants and spectroscopic data for S2^- have been calculated, then compared with other theoretical data. The analytical potential energy function of S3^- have been obtained based on the many-body expansion theory. The structure and energy can correctly reappear on the potential surface.     

锕系双原子分子的从头算研究

用相对论有效原子实势（RECP）和密度泛函方法（B3LYP）,采用U和Pu原子的紧缩价基集合[5s4p3d4f]/[3s3p2d2f],优化了U2和Pu2分子的平衡结构,得到它们的键长（LBL）和短键长（SBL）分别为：U2分子是0．38965和0．29927nm,Pu2分子是0．45375和0．35202nm;导出了基态和最低激发态的势能函数,计算出它们的力常数、光谱数据和离解能。     

Ab initio calculations on accurate dissociation energy, equilibrium geometry, and analytic potential energy function for the 6~3Π state of ~7LiH molecule

The accurate dissociation energy and equilibrium geometry of the 63Π state of 7LiH molecule is calculated using a symmetry-adapted-cluster configuration-interaction method in full active space. And the calculated results are 0.2580 eV and 0.1958 nm for the dissociation energy and equilibrium geometry, respectively. The whole potential energy curve for the 63Π state is also calculated over the internuclear separation range from about 0.10 to 0.54 nm. The results are fitted by the Murrell-Sorbie function. It is found that the Murrell-Sorbie function form, which is mainly used to fit the ground-state potential energy function, is well suitable for the excited triplet b3Π state. The vertical excitation energy from the ground state to the 63Π state is calculated to be 4.233 eV. Based on the analytic potential energy function, the harmonic frequency of 610.88 cm-1 about this state is firstly estimated. Compared with other theoretical results, this work is the most complete effort to deal with the analytic potential energy function and the harmonic frequency of this state.     

Molecular structure and analytical potential energy function of SeCO

The density functional method(B3P86/6-311G) is used for calculating the possible structures of SeC, SeO, and SeCO molecules. The result shows that the ground state of the SeC molecule is1Σ, the equilibrium nuclear distance is RSeC= 0.1699 nm, and the dissociation energy is De = 8.7246 eV. The ground state of the SeO molecule is3Σ, with equilibrium nuclear distance RSeO= 0.1707 nm and dissociation energy De = 7.0917 eV. There are two structures for the ground state of the SeCO molecule: Se=C=O and Se=O=C. The linear Se=C=O is1Σ. Its equilibrium nuclear distances and dissociation energy are RSeC= 0.1715 nm, RCO= 0.1176 nm and 18.8492 eV, respectively. The other structure Se=O=C is1Σ. Its equilibrium nuclear distances and dissociation energy are RCO= 0.1168 nm, RSeO= 0.1963 nm and 15.5275 eV,respectively. The possible dissociative limit of the SeCO molecule is analyzed. The potential energy function for the SeCO molecule has been obtained from the many-body expansion theory. The contour of the potential energy curve describes the structure characters of the SeCO molecule. Furthermore, contours of the molecular stretching vibration based on this potential energy function are discussed.     

AsH(X~3∑~-)及AsH_2(X~2B_1)自由基的分子结构与解析势能函数

运用Gaussian 03程序包中的单双迭代三重激发耦合簇理论和相关一致五重基优化了AsH_2的基态结构,并在优化结构的基础上计算了它的离解能和振动频率.结果表明:AsH_2基态的平衡构型具有C_(2v)对称性,键长R_(As-H)=0,1508 nm,键角∠HAsH=91.2231°,离解能D_e(Has-H)=2.8795 eV,振动频率ν_1(α_1)=1013.3361 cm~(-1),ν_2(α_1)=2225.1347 cm~(-1),ν_3(α_1)=2233.7565 cm~(-1).这些结果与实验值较为相符.对H_2的基态使用优选出的cc-pV6Z基组、对AsH的基态使用优选出的cc-pV5Z基组进行平衡几何与谐振频率的计算并进行单点能扫描,且将扫描结果拟合成了Murrell-Sorbie函数.与实验数据及其他理论结果的比较表明,本文关于AsH(X~3∑~-)自由基光谱常数(D_0,D_e,R_e,ω_e,B_e,α_e和ω_eX_e)的计算结果达到了很高的精度并最为完整.采用多体项展式理论导出了AsH_2(C_(2v),X~2B_1)自由基的解析势能函数,其等值势能图准确再现了它的离解能和平衡结构特征.首次报导了AsH_2(C_(2v),X~2B_1)自由基对称伸缩振动等值势能图中存在的两个对称鞍点,对应于反应AsH+H→ABH_2,势垒高度约0.1512×4.184 kJ/mol.

Abstract：

The CCSD(T) theory in combination with the cc-pV5Z basis set is used to determine the equilibrium geometry, dissociation energy and vibrational frequencies of AsH_2 (C_(2v), X~2B_1) radical. By comparison, excellent agreement can be found between the present results and the experiments. The values obtained at present are of 0.1508 ran for the equilibrium bond length R_(As-H), 91.2231° for the bond angle ∠ HASH, 2. 8795 eV for the dissociation energy D_e (HAs-H) and 1013.3361 cm~(-1), 2225.1347 cm~(-1) and 2233.7565 cm~(-1) for the vibrational frequencies ν_1(α_1), ν_2(α_1) and ν_3(α_1), respectively. The equilibrium geometry,harmonic frequency and potential energy curve of the AsH(X~3∑~-) radical are calculated at the CCSD(T)/cc-pV5Z level of theory. The ab initio results are fitted to the Murrell-Sorbie function with the least-square method. The spectroscopic parameters are in excellent agreement with the experiments. The analytic potential energy function of the AsH_2 (C_(2v), X~2 B_1) radical is derived by using the many-body expansion theory. This function correctly describes the configuration and dissociation energy of the AsH_2 (C_(2v), X~2B_1) radical. Two symmetrical saddle points have been found at (0.160 nm,0.296 nm) and (0.296 nm,0.160 nm) ,respectively. And the barrier height is equal to 0.1512×4.184 kJ/mol.     

Structure and analytical potential energy function for the ground state of the BCx (x=0, －1)

In this paper, the electronic states of the ground states and dissociation limits of BC and BC- are correctly determined based on group theory and atomic and molecular reaction statics. The equilibrium geometries, harmonic frequencies and dissociation energies of the ground state of BC and BC- are calculated by using density function theory and quadratic CI method including single and double substitutions. The analytical potential energy functions of these states have been fitted with Murrell-Sorbie potential energy function from our ab initio calculation results. The spectroscopic data （αe, ωe and ωeχe） of each state is calculated via the relation between analytical potential energy function and spectroscopic data. All the calculations are in good agreement with the experimental data.     

基态锰化氢分子及离子的势能函数及其稳定性

利用原子分子反应静力学原理推导出了MnHn(n=0, 1, 2)的基态电子状态及其离解极限.对H原子采用6-311 G**基组,对Mn原子采用SVP全电子基组,用B3LYP方法计算了它们的平衡几何,电子状态,在此基础上分别计算了MnH,MnH 1的Murrell-Sorbie解析势能函数和MnH 2的解析势能函数及其对应的力常数,光谱参数,理论计算值与文献值较好地吻合.计算表明MnH 的势能曲线具有对应于稳定平衡结构的极小点,说明MnH 可稳定存在.而由于MnH2 离子的离解能较小,其稳定性较差.     

Calculation of dissociation temperature of quarkonium using Gaussian Expansion Method

The dissociation temperatures of quarkonium states in a thermal medium are obtained in the framework of the quark model with the help of the Gaussian Expansion Method(GEM).This is the first time this method has been applied to the dissociation problem of mesons.The temperature-dependent potential is obtained by fitting the lattice results.Solving the Schr¨odinger equation with the GEM,the binding energies and corresponding wave functions of the ground states and the excited states are obtained at the same time.The accuracy and efficiency of the GEM provide a great advantage for the dissociation problem of mesons.The results show that the ground states1~1S_(0 )and 1~3S_(1 )have much higher dissociation temperatures than other states,and the spin-dependent interaction has a significant effect on the dissociation temperatures of 1~3S_(1 )and 1~1S_0.We also suggest using the radius of the bound state as a criterion of quarkonium dissociation.This can help to avoid the inaccuracy caused by the long tail of quarkonium binding energy dependence on temperature.     

Ab initio calculations of accurate dissociation energy and analytic potential energy function for the second excited state B1∏ of 7LiH

The reasonable dissociation limit of the second excited singlet state B¹∏ of ⁷LiH molecule is obtained. The accurate dissociation energy and equilibrium geometry of the B¹\Pi state are calculated using a symmetry-adapted-cluster configuration--interaction method in full active space. The whole potential energy curve for the B¹∏ state is obtained over the internuclear distance ranging from about 0.10nm to 0.54nm, and has a least-square fit to the analytic Murrell--Sorbie function form. The vertical excitation energy is calculated from the ground state to the B¹∏ state and compared with previous theoretical results. The equilibrium internuclear distance obtained by geometry optimization is found to be quite different from that obtained by single-point energy scanning under the same calculation condition. Based on the analytic potential energy function, the harmonic frequency value of the B¹∏ state is estimated. A comparison of the theoretical calculations of dissociation energies, equilibrium interatomic distances and the analytic potential energy function with those obtained by previous theoretical results clearly shows that the present work is more comprehensive and in better agreement with experiments than previous theories, thus it is an improvement on previous theories.     

Pressure dissociation of dense hydrogen

The self-consistent fluid variational model （SFVM） has been used to describe the pressure dissociation of dense hydrogen at high temperatures. This paper focuses on a mixture of hydrogen atoms and molecules and is devoted to the study of the phenomenon of pressure dissociation at finite temperatures. The equation of state and dissociation degree have been calculated from the free energy functions in the range of temperature 2000-10,000K and density 0.02-1.0g/cm^3, which can be compared with other approaches and experiments. The pressure dissociation is found to occur in higher density range, while temperature dissociation is a more gradual effect.     

用代数-能量自洽法研究双原子分子解析势能函数

基于计算双原子分子完全振动能谱及离解能的代数方法 (algebraic method,AM)和研究双原子分子解析势能函数的能量自洽法(energy consistent method,ECM),建立了计算双核分子体系精确解析势能函数的代数-能量自洽法(AM-ECM).应用AM-ECM方法研究了7Li+2-23Σg,KH-X1Σ+,NaLi-X1Σ+和NaLi-A1Σ+电子态的解析势能表达形式,并与其他方法的研究结果进行了比较,获得了能正确描述这些电子态在渐近区和离解区的精确解析表达结果.