BH2和AlH2分子的结构及其解析势能函数

运用二次组态相关(QCISD)方法,分别选用6-311++G(3df,3pd)和D95(3df,3pd)基组,对BH₂和AlH₂分子的结构进行了优化计算,得到BH₂分子的稳态结构为C_2v构型,电子态为²A₁、平衡核间距R_BH=0.1187nm、键角∠HBH=128.791°、离解能D_e=3.65eV、基态振动频率ν₁(a₁)=1020.103cm^-1,ν₂(a₁)=2598.144cm^-1,ν₃(b₂)=2759.304cm^-1.AlH₂分子的稳态结构也为C_2v构型,电子态为²A₁、平衡核间距R_AlH=0.1592nm、键角∠HAlH=118.095°、离解能D_e=2.27eV、基态振动频率ν₁(a₁)=780.81cm^-1,ν₂(a₁)=1880.81cm^-1,ν₃(b₂)=1910.46cm^-1.采用多体项展式理论推导了基态BH₂和AlH₂分子的解析势能函数,其等值势能图准确再现了BH₂和AlH₂分子的结构特征及其势阱深度与位置.分析讨论势能面的静态特征时得到BH+H→BH₂反应中存在鞍点,活化能为150.204kJ/mol;AlH+H→AlH₂反应中也存在鞍点,活化能为54.8064kJ/mol.关键词：2')\" href=\"#\">BH₂2')\" href=\"#\">AlH₂Murrell-Sorbie函数多体项展式理论解析势能函数     

BH2的分子结构和势能函数

采用密度泛函理论(DFT)的B3P86方法和相对论有效原子实势理论模型(RECP),对BH2,BH2+和BH2-分子进行了优化,得到这些分子基态的电子状态分别是2A′,3A′,3A".计算也得到了BH2的分子结构和势能函数,它的离解能是7.752eV,BH2分子具有C2V对称性;由微观可逆性原理,判断了BH2分子的离解极解;并且导出了BH2分子的多体项展式势能函数,其势能面等值图展现了H-B-H的结构,这些结果可以用于BH2分子的微观反应动力学.     

UH和UH2分子的结构与势能函数

用相对论有效原子实势(RECP)和密度泛函(B3LYP/SDD)方法研究了UH,UH₂基态和低激发态的结构和势能函数,导出了分子的光谱数据.结果表明,UH和UH₂的基电子状态分别为X⁴Π和X³A₂,离解能分别为2.886eV和5.249eV,UH₂具有C2v对称性,得到了UH和UH₂的几个不同的低激发态的结构与光谱数据.应用多体项展式理论以及数字拟合方法关键词：UH2')\" href=\"#\">UH₂势能函数分子结构     

BeH,H2和BeH2的分子结构和势能函数

用二次组态相关(QCISD)和密度泛函(B3LYP)方法, 选用6-311++g(d,p), 6-311++g(3df,3pd)和D95(3df,3pd)基组对H₂, BeH和BeH₂分子的结构进行优化. 得到它们的基态电子态分别为H₂(¹Σ_g), BeH(²Σ)和BeH₂(¹Σ_{g关键词：BeH2}')\" href=\"#\">BeH₂2')\" href=\"#\">H₂二次组态相关(QCISD)势能函数     

Pb2，PdPb2分子的势能函数

采用Gaussian 98程序,运用B3LYP方法,对Pd和Pb原子采用收缩价基组LANL2DZ,对Pb₂和PdPb₂分子的微观结构进行了理论计算. 由于Pb₂分子离解后一个Pb原子处于基态,另一个Pb原子处于激发态,采用最小二乘法拟合Pb₂分子的势能函数,选用的函数形式为Murrell-Sorbie势能函数加上开关函数. 使用多体展式理论导出了势函数中的参数进而给出PdPb₂分子基态势函数的解析表达式,其势能面准确地复现了PdPb₂分子的两个稳定构型(C_2V和C_∞v)及其能量关系.关键词：2')\" href=\"#\">Pb₂2')\" href=\"#\">PdPb₂势能函数     

基态UC2分子的结构和势能函数

采用密度泛函理论 (DFT)的B3LYP方法和相对论有效原子实势理论模型 (RECP) ,对UC2 分子可能的结构进行优化计算 ,得到UC2 分子稳定构型为角形C -U -C(C2v) ;由微观可逆性原理 ,判断了UC2 分子的离解极限 ;并且导出了基态UC2 分子 (X 5B1)的多体项展式势能函数 ,其势能面等值图展现了C -U -C(C2v)稳定结构 ;根据势能面等值图 ,讨论了C +UC(X 3 П)反应和U +C2 (X 1∑+ g)反应的势能面静态特征     

LiO2(C2V，X2A2)分子的结构与势能函数

使用二次组态相互作用方法,在aug-cc-pvtz基组水平上对LiO₂(C_2V,X²A₂)基态分子进行了几何优化,得到了它的平衡几何构型和力常数.根据原子分子反应静力学原理得到可能的电子状态和离解极限.应用多体展式理论方法推导出了LiO₂(C_2V,X²A₂)基态分子的解析势能函数.     

UH和UH_2分子的结构与势能函数

用相对论有效原子实势 (RECP)和密度泛函 (B3LYP SDD)方法研究了UH ,UH2 基态和低激发态的结构和势能函数 ,导出了分子的光谱数据 .结果表明 ,UH和UH2 的基电子状态分别为X4 Π和X3A2 ,离解能分别为 2 .886eV和5 .2 4 9eV ,UH2 具有C2v对称性 ,得到了UH和UH2 的几个不同的低激发态的结构与光谱数据 .应用多体项展式理论以及数字拟合方法 ,计算得到了UH分子和基态UH2 三原子分子的分析势能函数 ,该函数正确反映了UH和UH2分子的结构特征 ,可用于研究UHH的微观反应动力学 .     

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.     

TiO,O2 和TiO2的分析势能函数及光谱研究

用Gaussian09程序包的密度泛函理论DFT方法,在BP86/6-311++g(d,p)水平上对O₂, TiO和TiO₂ 分子进行了优化.得到该系列分子的基态电子态分别为：O₂(X³Σ_g), TiO(X³Π_g), TiO₂(X¹ A₁), TiO₂分子的稳定构型为C_2v构型. 用Murrell-Sorbie势能函数对TiO和O₂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,在此基础上推导出它们的光谱数据和力常数. 用多体项展开理论导出TiO₂分子的全空间解析势能函数,在固定键角∠OTiO=110.5° 的情况下, R_Ti-O = 0.1652 nm处存在一个深度为15.09 eV的势阱, 表明在该处易形成稳定的TiO₂分子.关键词：TiO2和TiO₂')\" href=\"#\">O₂和TiO₂密度泛函理论势能函数     

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.     

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.     

XF2(X=B,N)分子基态的结构与势能函数

基于Gaussian03计算软件利用QCISD方法,选用不同基组对XF₂(X=B,N)分子基态结构进行了几何优化,在此基础上选出最优基组D95(df,pd)和D95+(df,pd)分别对BF₂和NF₂分子的谐振频率、力常数等进行了计算.推导出XF₂(X=B,N)分子基态的多体展式势能函数,同时根据势能函数绘制了XF₂(X<关键词：2')\" href=\"#\">BF₂2')\" href=\"#\">NF₂结构势能函数     

Spin polarization effect for Mn2 molecule

The density functional theory method （DFT） （b3p86） of Gaussian 03 has been used to optimize the structure of the Mn2 molecule. The result shows that the ground state of the Mn2 molecule is an 11-multiple state, indicating a spin polarization effect in the Mn2 molecule, a transition metal element molecule. Meanwhile, we have not found any spin pollution because the wavefunction of the ground state does not mingle with wavefunctions of higher-energy states. So the ground state for Mn2 molecule being of an 11-multiple state is the indicative of spin polarization effect of the Mn2 molecule among those in the transition metal elements： that is, there are 10 parallel spin electrons in a Mn2 molecule. The number of non-conjugated electrons is the greatest. These electrons occupy different spacious orbitals so that the energy of the Mn2 molecule is minimized. It can be concluded that the effect of parallel spin in the Mn2 molecule is larger than the effect of the conjugated molecule, which is obviously related to the effect of electron d delocalization. In addition, the Murrell-Sorbie potential functions with the parameters for the ground state and other states of the Mn2 molecule are derived. The dissociation energy De for the ground state of the Mn2 molecule is 1.4477 eV, equilibrium bond length Re is 0.2506 nm, vibration frequency ωe is 211.51 cm^-1. Its force constants f2, f3, and f4 are 0.7240 aJ·nm-2, -3.35574 aJ·nm^-3, 11.4813 aJ·nm^-4 respectively. The other spectroscopic data for the ground state of the Mn2 molecule ωeχe, Be, αe are 1.5301 cm^-1, 0.0978 cm^-1, 7.7825×10^-4 cm^-1 respectively.     

Spin polarization effect for Fe2 molecule

This paper uses the density functional theory （DFT）（B3p86） of Gaussian03 to optimize the structure of Fe2 molecule. The result shows that the ground state for Fe2 molecule is a 9-multiple state, which shows spin polarization effect of Fe2 molecule of transition metal elements for the first time. Meanwhile, we have not found any spin pollution because the wavefunction of the ground state does not mingle with wavefunctions with higher energy states. So, that the ground state for Fe2 molecule is a 9-multiple state is indicative of the spin polarization effect of Fe2 molecule of transition metal elements. That is, there exist 8 parallel spin electrons. The non-conjugated electron is greatest in number. These electrons occupy different spacious tracks, so that the energy of the Fe2 molecule is minimized. It can be concluded that the effect of parallel spin of the Fe2 molecule is laFger than the effect of the conjugated molecule, which is obviously related to the effect of electron d delocalization. In addition, the Murrell Sorbie potential functions with the parameters for the ground state and other states of Fe2 molecule are derived. Dissociation energy De for the ground state of Fe2 molecule is 2.8586ev, equilibrium bond length Re is 0.2124nm, vibration frequency we is 336.38 cm^-1. Its force constants f2, f3, and f4 are 1.8615aJ.nm^-2, -8.6704aJ.nm^-3, 29.1676aj.nm^-4 respectively. The other spectroscopic data for the ground state of Fe2 molecule weXe, Be, αe are 1.5461 cm^-1, 0.1339cm^-1, 7.3428× 10^-4 cm^-1 respectively.     

Spin polarization effect of Ni2 molecule

The density functional theory （DFT） method （b3p86） of Gaussian 03 is used to optimize the structure of the Ni2 molecule. The result shows that the ground state for the Ni2 molecule is a 5-multiple state, symbolizing a spin polarization effect existing in the Ni2 molecule, a transition metal molecule, but no spin pollution is found because the wavefunction of the ground state does not mingle with wavefunctions of higher-energy states. So the ground state for Ni2 molecule, which is a 5-multiple state, is indicative of spin polarization effect of the Ni2 molecule, that is, there exist 4 parallel spin electrons in Ni2 molecule. The number of non-conjugated electrons is greatest. These electrons occupy different spatial orbitals so that the energy of the Ni2 molecule is minimized. It can be concluded that the effect of parallel spin in the Ni2 molecule is larger than that of the conjugated molecule, which is obviously related to the effect of electron d delocalization. In addition, the Murrell-Sorbie potential functions with the parameters of the ground state and other states of the Ni2 molecule are derived. The dissociation energy De for the ground state of the Ni2 molecule is 1.835 eV, equilibrium bond length Re is 0.2243 nm, vibration frequency we is 262.35 cm^-1. Its force constants f2, f3 and f4 are 1.1901 aJ.nm^-2, -5.8723 aJ.nm^-3, and 21.2505 aJ.nm^-4 respectively. The other spectroscopic data for the ground state of the Ni2 molecule ωeχe, Be and αe are 1.6315cm 2, 0.1141 cm^-1, and 8.0145× 10^-4 cm^-1 respectively.     

Spin polarization effect for Tc2 molecule

Density functional method (DFT) (B3p86) of Gaussian98 has been used to optimize the structure of the Tc_2 molecule. The result shows that the ground state for Tc_2 molecule is an 11-multiple state and its electronic configuration is {}^{11}Σ_g^-, which shows the spin polarization effect of Tc_2 molecule of a transition metal element for the first time. Meanwhile, we have not found any spin pollution because the wavefunction of the ground state does not mingle with wavefunctions of higher energy states. So, that the ground state for Tc_2 molecule is an 11-multiple state is indicative of the spin polarization effect of Tc_2 molecule of a transition metal element: that is, there exist 10 parallel spin electrons. The non-conjugated electron is greatest in number. These electrons occupy different spacious tracks, so that the energy of Tc_2 molecule is minimized. It can be concluded that the effect of parallel spin of the Tc_2 molecule is larger than the effect of the conjugated molecule, which is obviously related to the effect of electron d delocalization. In addition, the Murrell--Sorbie potential functions with the parameters for the ground state {}^{11}Σ_g^- and other states of Tc_2 molecule are derived. Dissociation energy D_e for the ground state of T_{c2} molecule is 2.266eV, equilibrium bond length R_e is 0.2841nm, vibration frequency ω_e is 178.52cm^{-1}. Its force constants f_2, f_3, and f_4 are 0.9200aJ·nm^{-2}, --3.5700aJ·nm^{-3}, 11.2748aJ·nm^{-4} respectively. The other spectroscopic data for the ground state of Tc_2 molecule ω_eχ_e, B_e, α_e are 0.5523cm^{-1}, 0.0426cm^{-1}, 1.6331×10^{-4}cm^{-1} respectively.     

Spin polarization effect for Os2 molecule

Density functional Theory （DFT） （B3p86） of Gaussian03 has been used to optimize the structure of Os2 molecule. The result shows that the ground state for Os2 molecule is 9-multiple state and its electronic configuration is ^9∑^＋g, which shows spin polarization effect of Os2 molecule of transition metal elements for the first time. Meanwhile, we have not found any spin pollution because the wavefunction of the ground state does not mingle with wavefunctions with higher energy states. So, the fact that the ground state for Os2 molecule is a 9-multiple state is indicative of spin polarization effect of Os2 molecule of transition metal elements. That is, there exist 8 parallel spin electrons. The non-conjugated electron is greatest in number. These electrons occupy different spacious tracks, so that the energy of Os2 molecule is minimized. It can be concluded that the effect of parallel spin of Os2 molecule is larger than the effect of the conjugated molecule, which is obviously related to the effect of electron d delocalization. In addition, the Murrell-Sorbie potential functions with the parameters for the ground state ^9∑^＋g and other states of Os2 molecule are derived. Dissociation energy De for the ground state of Os2 molecule is 3.3971eV, equilibrium bond length Re is 0.2403nm, vibration frequency ωe is 235.32cm^-1. Its force constants f2, f3, and f4 are 3.1032×10^2aJ·nm^-2, -14.3425×10^3aJ·nm^-3 and 50.5792×10^4aJ·nm^-4 respectively. The other spectroscopic data for the ground state of Os2 molecule ωexe, Be and ae are 0.4277cm^- 1, 0.0307cm^- 1 and 0.6491 × 10^-4cm^-1 respectively.