Ab initio calculation of accurate dissociation energy, potential energy curve and dipole moment function for the A1∑ + state 7LiH molecule

The reasonable dissociation limit of the A¹∑⁺ state $^{7}$LiH molecule is obtained. The accurate dissociation energy and the equilibrium geometry of this state are calculated using a symmetry-adapted-cluster configuration-interaction method in complete active space for the first time. The whole potential energy curve and the dipole moment function for theA¹∑⁺ state are calculated over a wide internuclear separation range from about 0.1 to 1.4\,nm. The calculated equilibrium geometry and dissociation energy of this potential energy curve are of R_{\e}=0.2487\,nm and D_{\e}=1.064\,eV, respectively. The unusual negative values of the anharmonicity constant and the vibration-rotational coupling constant are of \textit{\omega }_{\e}\textit{\chi }_{\e}=--4.7158cm^{ - 1} and \textit{\alpha }_{\e}=--0.08649cm^{ -1}, respectively. The vertical excitation energy from the ground to the A¹∑⁺ state is calculated and the value is of 3.613\,eV at 0.15875nm (the equilibrium position of the ground state). The highly anomalous shape of this potential energy curve, which is exceptionally flat over a wide radial range around the equilibrium position, is discussed in detail. The harmonic frequency value of 502.47cm¹ about this state is approximately estimated. Careful comparison of the theoretical determinations with those obtained by previous theories about the A¹∑⁺ state dissociation energy clearly shows that the present calculations are much closer to the experiments than previous theories, thus represents an improvement.     

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C_{2V关键词： 2}')" href="#">BH₂ 分子结构 势能函数     

HNO(1A’)自由基的从头算势能曲线

采用从头算的偶合族理论和组态相互作用方法对NH, NO, HNO 自由基的基态结构进行研究, 借助多体项展式理论导出HNO 自由基的势能函数并绘制了等值势能图. 首次报道了HNO 自由基对称伸缩振动和旋转势能图中, 在O+NH→HNO, H+NO→HNO, N+HO→HNO 反应通道上都有鞍点出现, O 原子需要越过1.153 eV 的能垒, H 原子须克服1.683 eV 的能量, N 原子须克服2.126 eV 的能量才能生成稳定的HNO 自由基. 同时也首次报道了HNO(X¹A’)自由基的同分异构体HON(X³A") 在势能曲线中的位置及HNO↔HON 转变所需的能量. 关键词： HNO 从头算 势能曲线     

PdCO分子结构与势能函数

用密度泛函理论的B3LYP方法,对钯原子采用LANL2DZ收缩价基函数,碳原子和氧原子采用AUG-cc-pVTZ基组,对PdC,PdO和PdCO体系的结构进行优化,计算表明：PdC分子基态为¹Σ⁺态,键长为R_e=0.17285nm,离解能为4.919eV.PdO分子基态的平衡核间距为0.18546nm,其电子态为³Π,离解能为2.455eV,并拟合得到Murrell-Sorbie势能函数;PdCO分子有两 关键词： PdCO 分子结构 势能函数     

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="#">BH₂ 2')" href="#">AlH₂ Murrell-Sorbie函数 多体项展式理论 解析势能函数     

Dissociation energy for the ground state of AlO from true potential energy curve

The true potential energy curve for the ground state of AlO has been extended up to the observed vibrational levels v = 22 using revised vibrational constants. The dissociation energy for the ground state of AlO has been estimated to be 4.15 ± 0.05 eV by the method of curve fitting. The Lippincott potential function has been used for fitting with the RKRV curve.     

SiX2(X=H，F)分子的结构与势能函数

应用QCISD/6-311++G(3df,3pd)和B3P86/6-311++G(3d2f)对SiH₂,SiF₂的结构进行了优化,优化出SiH₂分子的稳定构型为C_2v,电子态为¹A₁,其平衡核间距R_e=0.15149nm、键角∠HSiH=92.5025°、离解能为3.7098eV. SiF _{关键词： 2}')" href="#">SiH₂ 2')" href="#">SiF₂ 多体项展式理论 势能函数     

The dissociation energy of BiI derived from potential energy curves

The potential energy curve for the ground state of BiI has been constructed by the methods of Lakshman and Rao and of Jarmain. The dissociation energy is estimated to be 1.949±0.009 eV from fitting the three-parameter Lippincott potential function. The value recommended by Gaydon is 2.5±1.0 eV.     

SiO2分子的基态(X1A1)结构与分析势能函数

应用群论及原子分子反应静力学方法推导了SiO₂分子的电子态及其离解极限，采用B3P86方法，在6-311G^**水平上,优化出SiO₂基态分子稳定构型为单重态的C_2V构型，其平衡核间距R_e=R_Si—O=0.1587 nm,∠OSiO＝111.2°,能量为-440.4392 a.u..同时计算出基态的简正振动频率:对称伸缩振动频率ν(B₂)=945.4cm^-1，弯曲振动频率ν(A₁)=273.5 cm^-1和反对称伸缩振动频率ν(A₁)=1362.9cm^-1.在此基础上，使用多体项展式理论方法，导出了基态SiO₂分子的全空间解析势能函数，该势能函数准确再现了SiO₂(C_2V)平衡结构.     

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.     

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

In this paper, the energy, the equilibrium geometry, and the harmonic frequency of the ground electronic state of PO₂ are computed using B3LYP, B3P86, CCSD(T), and QCISD(T) methods in conjunction with 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 PO₂ molecule. It is shown that the ground state of the PO₂ molecule has C_2v symmetry and its ground electronic state is X²A₁. The equilibrium parameters of the structure are R_P-O=0.1465 nm, d=19.218 eV. The bent vibrational frequency ν₁=386 cm^-1, the symmetric stretching frequency ν₂=1095 cm^-1, and the asymmetric stretching frequency ν₃=1333 cm^-1 are obtained. On the basis of atomic and molecular reaction statics, the reasonable dissociation limit for the ground state of the PO₂ molecule is determined. Then the analytic potential energy function of the PO₂ molecule is first derived by using the many-body expansion theory. The potential curves correctly reproduce the configurations and the dissociation energy for the PO₂ molecule.     

On the Dissociation Energy of AsP Molecule

For the electronic ground state, X¹∑⁺, of AsP molecule, the true potential energy curve is constructed by the method of Rydberg-Klein-Rees. By curve fitting of the modified form of Lippincott's three-parameter empirical potential function, the dissociation energy is estimated to be 4.46±0.15 eV.     

The KLL Auger spectrum of neon from the EC-decay of Na

The low energy KLL Auger electrons of neon emitted after EC-decay of ²²Na have been investigated with a 4 eV instrumental resolution using an electrostatic spectrometer and a solid state radioactive source. This is the first experimental investigation of the KLL Auger spectrum of neon from the solid state. Relative intensities and energies of all resolved spectrum components were determined. Measured absolute energy of the dominant KL₂L₃(¹D) transition was found to be 824.5(19) eV, i.e. about 20 eV higher than that obtained in experiments with free Ne atoms. Within the experimental uncertainties, no influence of solid state effects on relative intensities of the KLL transitions was found.     

Potential energy curves and dissociation energy of SiCl

The true potential energy curves have been constructed for the ground and excited electronic states of SiCl by the method of Lakshman and Rao. The dissociation energy of the ground state has been estimated by fitting the Hulburt-Hirschfelder function to the true potential energy curves. The dissociation energy thus obtained is 33,500 cm^-1 (4.15 eV), which is in good agreement with the value of 4.5±0.5 eV reported by Gaydon.     

OH分子基态（X2Π）的结构与势能函数

采用密度泛函理论的B3LYP方法和二次组态相互作用(QCISD(T))方法优化计算了OH分子基态(X²Π)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OH分子基态(X²Π)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(B_e，α_e，ω_e和ω_eχ_e)，计算结果与实验数据符合得相当好. 关键词： OH分子 2Π)')" href="#">基态(X²Π) 势能函数     

SH（D）和OH（D）自由基基态的结构与势能函数

采用QCISD（T）/ 6-311++G（3df,2pd） 和QCISD/6-311++G（3df,2pd）方法计算优化了SH（D）和OH（D）自由基分子基态X²Π的分子结构和离解能.并采用最小二乘法拟合Murrell-Sorbie 函数得到了相应的势能函数,由此计算的振转常数与实验光谱数据符合得相当好. 关键词： SH和OH自由基分子 X²Π）')" href="#">基态（X²Π） Murrell - Sorbie函数 势能函数     

Activation energy of hydrogen in Lu

The impurity induced charge density is calculated in jellium by solving the Schr?dinger equation self-consistently following the procedure of Manninen and Nieminen and using Kohn-Sham density functional formalism. The host-ion contribution is included through the spherical solid model potential (SSMP). The calculated activation energy 0.27 eV is found in good agreement with experimental value 0.28±0.02 eV. The estimated residual resistivity 1.02 μΩ cm/at% for Lu-H system using the resulting phase shifts agrees reasonably well with the observed value 1.75±0.10 μΩ cm/at%. The calculated configurational energy shows that hydrogen prefers tetrahedral(T)-sites over octahedral(O)-sites in Lu matrix. This has been confirmed by Bonnet experimentally. A very shallow value ofs-type bound state of energy −0.00316 Ryd predicts that there is no formation of lutetium hydride solution and H⁺ exists as a free ion in Lu matrix.     

The ClO4 radical: a theoretical study on ground and excited states

In agreement with previous studies, the ground state of ClO₄ has been confirmed to be X²B₁. Vertical excitation energies and oscillator strengths were calculated by MRCI methods for doublet and quartet states of ClO₄. The highest oscillator strength was found for 1²A₁ at 2.95 eV. This state has been identified as the upper state seen by Kopitzky and co-workers in the absorption spectrum of ClO₄. Two higher states, 2²A₁ and 3²A₁, at 4.19 and 8.12 eV, respectively, also have relatively high oscillator strengths. Rydberg states start at about 9.5 eV. Geometry optimizations were performed by DFT and CCSD(T) methods. After extensive testing, the B3LYP density functional, together with the 6-311 + G(3df) basis set were chosen for calculations. Optimized geometries of seven excited states were obtained. The adiabatic excitation energy of 1²A₁ (2.40 eV) agrees closely with the observed band origin at 2.46 eV. Three excited states have one or two imaginary vibrational modes. Electron affinity and heat of formation of ClO₄ agree with literature values. None of the quartet states was found to be stable.     

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： UH 2')" href="#">UH₂ 势能函数 分子结构     

SiF$lt;sub$gt;2$lt;/sub$gt;基态分子的结构与势能函数

运用Gaussian03软件包,采用密度泛函理论中的B3P86 方法,结合6-311++G^**（3df,3pd） 基组对基态SiF₂分子的平衡电子结构和谐振频率进行了优化计算,得到了其稳定结构为C_2v构型.SiF₂基态电子态为X¹A₁,平衡核间距R_Si—F=0.1061　nm,键角α_F—Si—F=100.6762°,离解能D_e=13.8　eV.应用多体项展式理论推导了基态SiF₂分子的解析势能函数,其等值势能图准确地再现了SiF₂分子的平衡构型特征和能量变化. 关键词： 2')" href="#">SiF₂ Murrell-Sorbie函数 多体项展式理论