AlB2和Al2B的结构与解析势能函数

运用单双取代耦合簇(CCSD)方法,选择基组6-311+g(2df)对基态B2、Al2分子和基组6-311g(3df)对基态AlB分子的微观结构进行优化计算,采用最小二乘法拟合得到B2、Al2和AlB分子的势能函数,并得到了与实验值符合很好的光谱常数.采用同种方法,选择6-31g基组,对基态AlB2和Al2B分子的结构进行优化计算.运用原子分子反应静力学原理得到离解极限.在此基础上,采用多体项展式法,得到AlB2和Al2B分子基态解析势能函数,该势能函数准确再现了AlB2和Al2B分子基态平衡结构特征.     

用ab initio方法计算NaLi分子基态(X1∑+)的势能函数及光谱常数

运用原子分子群表示方法,首先确定NaLi分子的电子基态(X1∑ ).然后选用6-311 G(3df,2pd)基组优化计算得到NaLi分子基态(X1∑ )的平衡结构和离解能,采用电子相关QCISD(T)方法结合6-311 G(3df,2pd)基组对NaLi分子基态进行单点能扫描计算.最后用单点扫描计算值结合优化计算所得参数去拟合Murrell-Sorbie函数,得到了NaLi分子基态的势能函数.用该势能函数计算的光谱常数与实验结果符合得很好,表明拟合确定的势能函数能精确地描述基态NaLi分子的结构和性质.     

MgH分子X2Σ+,A2Π和B2Σ+电子态的势能函数

利用QCISD(T),SAC-CI方法和cc-pVQZ,aug-cc-pVTZ,6-311 G及6-311 G(3df,2pd)基组,对MgH分子的基态X2Σ ,第一简并激发态A2Π和第二激发态B2Σ 的结构进行优化计算.通过对4个基组计算结果进行比较,得出6-311 G(3df,2pd)基组为最优基组.使用6-311 G(3df,2pd)基组和QCISD(T)方法对基态X2Σ ,SAC-CI方法对激发态A2Π和B2Σ 进行单点能扫描计算,然后采用Murrell-Sorbie函数及修正的Murrell-Sorbie C6函数进行拟合,得到了相应电子态的势能函数参数和对应的光谱常数.计算结果表明,用修正的Murrell-Sorbie C6函数计算得到的MgH分子基态和第一简并激发态的光谱常数ωe,ωexe,Be,αe与实验数据吻合很好.表明修正后的Murrell-Sorbie C6函数能更为准确地描述MgH分子的基态和第一激发态的势能函数.     

PS(X~2Π_r)基态势能函数与光谱常数研究

根据群论及原子分子反应静力学的有关原理,推导了PS基态分子电子态及其合理的离解极限.采用Gaussian 03软件中的密度泛函理论B3LYP和B3P86结合6-311++G(3df,3pd)、6-311++G、6-311G(3df,3pd)、cc-p VTZ和D95基组,对PS分子基态平衡结构和谐振频率进行了计算.通过比较计算结果,发现B3P86方法结合cc-p VTZ基组计算所得结果与实验值最接近.在该水平下对PS分子的基态进行了单点势能扫描计算,利用正规方程组拟合三参数的Murrell-Sorbie函数和修正的Murrell-Sorbie+C6函数,得到了基态PS分子完整的势能函数与相应的光谱常数ωe、ωexe、Be和αe的值.计算结果表明,利用三参数的Murrell-Sorbie函数计算所得的光谱常数与实验数据吻合得更好.     

AlC,SiC基态分子结构与分析势能函数的量子力学计算

用密度泛函理论的B3LYP方法和二次组态相互作用(QCISD(T))方法,选择6-31G(d,p)、6-311 G(2df,2pd)、6-311 G(3df,3pd)、cc-PVTZ、AUG-cc-PVTZ基组,优化计算了AlC和SiC分子基态的能量,平衡结构,谐振频率.根据原子分子反应静力学原理,导出了AlC和SiC分子基态的合理离解极限和离解能.通过优化计算结果和实验数据的对比,选择QCISD(T)/6-311 G(3df,3pd)方法对AlC和SiC分子基态的势能面进行了单点能扫描.采用最小二乘法拟合得到了AlC和SiC分子基态的Murell-Sor-bie势能函数.同时计算了光谱参数(Be,eα,ωe,ωeχe)和力常数(f2,f3,f4),并与实验结果进行比较.结果表明,计算结果与实验数据吻合的较好.     

NaB2和Na2B的结构与解析势能函数

使用Gaussian03程序包,采用单双取代耦合簇(CCSD)方法,选择基组6-311+g(2df)、6-311++g(3df,3pd)分别对B2及NaB和Na2分子的基态进行优化计算,运用最小二乘法拟合得到B2、NaB和Na2分子势能函数,给出与实验值符合很好的光谱常数;选择6-31++g(3df,3pd)基组,对NaB2和Na2B分子的结构进行优化计算.在此基础上,采用多体项展式法,得到NaB2和Na2B分子基态解析势能函数.势能面静态特征表明,该势能函数准确再现了NaB2和Na2B分子基态平衡结构.     

NaB2和Na2B的结构与解析势能函数

使用Gaussian03程序包,采用单双取代耦合簇(CCSD)方法,选择基组6-311+g(2df)、6-311++g(3df,3pd)分别对B2及NaB和Na2分子的基态进行优化计算,运用最小二乘法拟合得到B2、NaB和Na2分子势能函数,给出与实验值符合很好的光谱常数;选择6-31++g（3df,3pd）基组,对NaB2和Na2B分子的结构进行优化计算.在此基础上,采用多体项展式法,得到NaB2和Na2B分子基态解析势能函数.势能面静态特征表明,该势能函数准确再现了NaB2和Na2B分子基态平衡结构.     

LiB2和Li2B分子的结构与势能函数

运用单双取代耦合簇(CCSD)方法,选择基组6-311+g(2df)对基态B2、Li2和LiB分子的微观结构进行优化计算,采用最小二乘法拟合得到B2、Li2和LiB分子的势能函数,并得到了与实验值符合很好的光谱常数.采用同种方法,选择6-311g基组对LiB2、6-31g基组对Li2B分子的基态结构进行优化计算.运用原子分子反应静力学原理得到离解极限.在此基础上,采用多体项展式法,得到LiB2和Li2B分子基态解析势能函数,该势能函数准确再现了LiB2和Li2B分子基态平衡结构特征.     

LiB2和Li2B分子的结构与势能函数

运用单双取代耦合簇(CCSD)方法,选择基组6-311+g(2df)对基态B2、Li2和LiB分子的微观结构进行优化计算,采用最小二乘法拟合得到B2、Li2和LiB分子的势能函数,并得到了与实验值符合很好的光谱常数.采用同种方法,选择6-311g基组对LiB2、6-31g基组对Li2B分子的基态结构进行优化计算.运用原子分子反应静力学原理得到离解极限.在此基础上,采用多体项展式法,得到LiB2和Li2B分子基态解析势能函数,该势能函数准确再现了LiB2和Li2B分子基态平衡结构特征.     

MgH分子X2Σ+，A2Π和B2Σ+电子态的势能函数

利用QCISD(T),SAC-CI方法和cc-pVQZ,aug-cc-pVTZ,6-311++G及6-311++G(3df,2pd)基组,对MgH分子的基态X²Σ⁺,第一简并激发态A²Π和第二激发态B²Σ⁺的结构进行优化计算.通过对4个基组计算结果进行比较,得出6-311++G(3df,2pd)基组为最优基组.使用 关键词： 分子结构与势能函数 激发态 Murrell-Sorbie函数 C₆函数')" href="#">Murrell-Sorbie+C₆函数     

MgB和MgB_2(~1A_1)的结构与解析势能函数

分别采用QCISD/6-311G和QCISD/6-311++G(df)方法,对MgB和MgB2分子的微观结构进行理论计算.在此计算基础上,运用多体展式理论方法,推导出MgB2分子的解析势能函数,其等值势能面图准确再现了MgB2分子的结构特征及势阱深度,并讨论了B+MgB和Mg+BB分子反应的势能面特征.这些结果可用于微观反应动力学的研究.     

Accurate Analytic Potential Energy Function and Spectroscopic Study for G1 ∏g State of Dimer 7Li2

The reasonable dissociation limit for the G1∏g state of dimer 7Li2 is determined. The equilibrium internuclear distance, dissociation energy, harmonic frequency, vibrational zero energy, and adiabatic excitation energy are calculated using a symmetry-adapted-cluster configuration-interaction method in complete active space in Gaussian03 program package at such numerous basis sets as 6-311 G, 6-311 G(2df, 2pd), 6-311 G(2df, p), cc-PVTZ, 6-311 G(3df, 3pd), CEP-121G, 6-311 G(2df, pd), 6-311 G(d,p),6-311G(3df,3pd), D95(3df,3pd), 6-311 G(3df, 2p),6-311 G(2df), 6-311 G(df, pd) D95V , and DGDZVP. The complete potential energy curves are obtained at these sets over a wide internuclear distance range and have least squares fitted to Murrell-Sorbie function. The conclusion shows that the basis set 6-311 G(2df, p) is a most suitable one for the G1∏g state. At this basis set, the calculated spectroscopic constants Te, De, Eo, Re, ωe, ωeXe, αe, and Be are of 3.9523 eV, 0.813 06 eV, 113.56 cm-1, 0.320 15 nm,227.96 cm-1, 1.6928 cm-1, 0.004 436 cm-1, and 0.4689 cm-1, respectively, which are in good agreement with measurements whenever available. The total 50 vibrational levels and corresponding inertial rotation constants are for the first time calculated and compared with available RKR data. And good agreement with measurements is obtained.     

Accurate Analytic Potential Energy Function and Spectroscopic Study for G^1Ⅱg State of Dimer ^7Li2

The reasonable dissociation limit for the G^1Ⅱg, state of dimer ^7Li2 is determined. The equilibrium internuclear distance, dissociation energy, harmonic frequency, vibrational zero energy, and adiabatic excitation energy are calculated using a symmetry-adapted-cluster configuration-interactlon method in complete active space in Gaussian03 program package at such numerous basis sets as 6-311 ＋＋G, 6-311 ＋＋G（2df,2pd）, 6-311 ＋＋G（2df, p）, cc-PVTZ, 6- 311＋＋G（3df,3pd）, CEP-121G, 6-311＋＋G（2df, pd）, 6-311＋＋G（d,p）,6-311G（3df,3pd）, D95（3df,3pd）, 6-311＋＋G（3df,2p）, 6-311＋＋G（2df）, 6-311＋＋G（df, pd） D95V＋＋, and DGDZVP. The complete potential energy curves are obtained at these sets over a wide internuclear distance range and have least squares fitted to Murrell-Sorbie function. The conclnsion shows that the basis set 6-311＋＋G（2df, p） is a most suitable one for the G^1Ⅱg state. At this basis set, the calculated spectroscopic constants Te, De, Eo, Re, ωe, ωeXe, ae, and Be are of 3.9523 eV, 0.813 06 eV, 113.56 cm^-1, 0.320 15 nm, 227.96 cm^-1, 1.6928 cm^-1, 0.004 436 cm^-1, and 0.4689 cm^-1, respectively, which are in good agreement with measurements whenever available. The total 50 vibrational levels and corresponding inertial rotation constants are for the first time calculated and compared with available RKR data. And good agreement with measurements is obtained.     

POX(X=1,2)的光谱常数与从头算势能曲线

采用从头算的多种方法对PO、PO₂自由基的基态结构进行优化计算，结果表明：使用密度泛函（DFT）方法计算的结果最接近实验值.对PO双原子分子优选6-311G（3df）基组进行计算、扫描并拟合.对PO₂三原子分子优选出6-311+G（3df）方法计算结构参数、谐振频率、离解能及力常数，借助多体项展式理论导出PO₂自由基的势能函数并绘制等值势能图.发现：PO₂自由基的对称伸缩振动和旋转势能图中，在O+PO→OPO反应通道上都有鞍点出现，O原子需要越过0.55 eV的能量才能生成稳定的PO₂自由基.要形成PO₂自由基只能通过两等价的通道越过势垒才能形成.     

Ab initio calculations on the α^3∑u^＋ state properties of dimer ^7Li2

The comparison between single-point energy scanning （SPES） and geometry optimization （OPT） in determining the equilibrium geometry of the α^3∑u^＋ state for ^7Li2 is made at numerous basis sets such as 6-311＋＋G（2df）, cc-PVTZ, 6-311＋＋G（2df, p）, 6-311G（3df,3pd）, 6-311＋＋G（2df,2pd）, D95（3df,3pd）, 6-311＋＋G, DGDZVP, 6-311＋＋G（3df,2pd）, 6-311G（2df,2pd）, D95V＋＋, CEP-121G, 6-311＋＋G（d,p）, 6-311＋＋G（2df, pd） and 6-311＋＋G（3df,3pd） in full active space using a symmetry-adapted-cluster/ symmetry-adapted-cluster configuration-interaction （SAC/SAC=CI） method presented in Gaussian03 program package. The difference of the equilibrium geometries obtained by SPES and by OPT is reported. Analyses show that the results obtained by SPES are more reasonable than those obtained by OPT. We have calculated the complete potential energy curves at those sets over a wide internuclear distance range from about 3.0α0 to 37.0α0, and the conclusion is that the basis set cc-PVTZ is the most suitable one. With the potential obtained at ccopVTZ, the spectroscopic data （Te, De, D0, ωe,ωeХe, αe and Be） are computed and they are 1.006 eV, 338.71 cm^-1, 307.12 cm^-1, 64.88 cm^-1, 3.41 cm^-1, 0.0187 cm^-1 and 0.279 cm^-1, respectively, which are in good agreement with recent measurements. The total 11 vibrational states are found at J=0. Their corresponding vibrational levels and classical turning points are computed and compared with available RKR data, and good agreement is found. One inertial rotation constant （By） and six centrifugal distortion constants （Dr Hv, Lv, My, Nv, and Ov） are calculated. The scattering length is calculated to be -27.138α0, which is in good accord with the experimental data.     

Molecular properties with dual basis set methods

The dual basis set approach has proven to be very successful for accurately estimating total energies with large basis sets. This study extends the applications of this technique to the calculation of molecular properties, including energy derivatives with respect to nuclear positions and to an external electric field. All energy derivatives have been calculated numerically via finite-differences. Molecular gradients and Hessians as well as dipole moments and polarizabilites have been calculated at the HF and MP2 levels using two alternative versions of the dual basis set method. The accuracy of these approaches is discussed in the context of quality of basis sets used in calculations. It is shown that even quite poor results obtained with the 6-311G basis set are significantly improved in dual basis set calculations with the 6-311G(d,p) and 6-311G(3df,3dp) basis sets.     

SeOx(x=1,2)的从头算势能曲线和光谱常数

采用从头算的多种方法和基组优化计算SeO_x(x=1,2)自由基的基态结构、谐振频率及离解能,优选出QCISD(T)/6-311+G(2df)、B3LYP/6-311G(3d2f)方法分别对SeO、SeO₂自由基进行计算,计算结果与实验结果吻合很好.对SeO自由基拟合出Murrell-Sorbie势能函数参数,计算出SeO自由基的光谱常数和力常数.计算出SeO₂自由基力常数,导出SeO₂自由基的多体展式势能函数,发现SeO₂自由基对称伸缩振动势能图中在对称的O+SeO→SeO₂反应通道上有一鞍点,其活化能约为48.24 kJ·mol^-1,O原子需要越过0.5 eV的能垒才能生成SeO₂的稳定结构.     

Theoretical study of the structure and analytic potential energy function for the ground state of the PO₂ molecule

In this paper, the energy, equilibrium geometry, and harmonic frequency of the ground electronic state of PO2 are computed using the B3LYP, B3P86, CCSD(T), and QCISD(T) methods in conjunction with the 6-311++G(3df, 3pd) and cc-pVTZ basis sets. A comparison between the computational results and the experimental values indicates that the B3P86/6-311++G(3df, 3pd) method can give better energy calculation results for the PO 2 molecule. It is shown that the ground state of the PO2 molecule has C2v symmetry and its ground electronic state is X2 A1 . The equilibrium parameters of the structure are R P O = 0.1465 nm, ∠OPO = 134.96°, and the dissociation energy is Ed = 19.218 eV. The bent vibrational frequency ν 1 = 386 cm-1 , symmetric stretching frequency ν 2 = 1095 cm-1 , and asymmetric stretching frequency ν 3 = 1333 cm-1 are obtained. On the basis of atomic and molecular reaction statics, a reasonable dissociation limit for the ground state of the PO2 molecule is determined. Then the analytic potential energy function of the PO2 molecule is derived using many-body expansion theory. The potential curves correctly reproduce the configurations and the dissociation energy for the PO2 molecule.