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Ab initio calculations on the α^3∑u^+ state properties of dimer ^7Li2
引用本文:施德恒,孙金锋,朱遵略,刘玉芳.Ab initio calculations on the α^3∑u^+ state properties of dimer ^7Li2[J].中国物理 B,2007,16(9):2701-2708.
作者姓名:施德恒  孙金锋  朱遵略  刘玉芳
作者单位:College of Physics {\& Electronic Engineering, Xinyang Normal University, Xinyang 464000, China;College of Physics {\& Information Engineering, Henan Normal University, Xinxiang 453007, China;College of Physics {\& Information Engineering, Henan Normal University, Xinxiang 453007, China;College of Physics {\& Information Engineering, Henan Normal University, Xinxiang 453007, China;College of Physics {\& Information Engineering, Henan Normal University, Xinxiang 453007, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant No~10574039) and the Natural Science Foundation of Henan Province, China (Grant No~2006140008 and 2007140015).
摘    要: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.

关 键 词:二聚物  振动状态  散射  能量
收稿时间:9/6/2006 12:00:00 AM
修稿时间:2006-09-06

Ab initio calculations on the a3+u state properties of dimer 7Li2
Shi De-Heng,Sun Jin-Feng,Zhu Zun-Lue and Liu Yu-Fang.Ab initio calculations on the a3+u state properties of dimer 7Li2[J].Chinese Physics B,2007,16(9):2701-2708.
Authors:Shi De-Heng  Sun Jin-Feng  Zhu Zun-Lue and Liu Yu-Fang
Institution:College of Physics {\& Electronic Engineering, Xinyang Normal University, Xinyang 464000, China;College of Physics {\& Information Engineering, Henan Normal University, Xinxiang 453007, China; College of Physics {\& Information Engineering, Henan Normal University, Xinxiang 453007, China
Abstract:The comparison between single-point energy scanning (SPES) and geometry optimization (OPT) in determining the equilibrium geometry of the $a^{3}\Sigma ^{ + }_{\rm u}$ state for $^{7}$Li$_{2}$ 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 these sets over a wide internuclear distance range from about 3.0$a_{0}$ to 37.0$a_{0}$, and the conclusion is that the basis set cc-PVTZ is the most suitable one. With the potential obtained at cc-PVTZ, the spectroscopic data ($T_{\rm e}$, $D_{\rm e}$, $D_{0}$, $\omega _{\rm e },\omega _{\rm e}\chi _{\rm e}$, $\alpha _{\rm e}$ and $B_{\rm e})$ 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 ($B_{\upsilon })$ and six centrifugal distortion constants ($D_{\upsilon }$ $H_{\upsilon }$, $L_{\upsilon }$, $M_{\upsilon }$, $N_{\upsilon }$ and $O_{\upsilon })$ are calculated. The scattering length is calculated to be --27.138$a_{0}$, which is in good accord with the experimental data.
Keywords:ab initio}  potential energy curve  spectroscopic data  vibrational state  scattering length
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