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~7LiH分子X~1Σ~+态的平衡几何、谐振频率、离解能及其解析势能函数

The Accurate Equilibrium Geometry,Harmonic Vibrational Frequency, Dissociation Energy and Analytical Potential Energy Function for the State X~1Σ~+ of ~7LiH Molecule

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【作者】 施德恒戴启润王栋臣王林张东玲熊宝库

【Author】 SHI De-heng,DAI Qi-run,WANG Dong-chen,WANG Lin,ZHANG Dong-ling,XIONG Bao-ku(College of Physics & Electronic Engineering,Xinyang Normal University,Xinyang 464000,China)

【机构】 信阳师范学院物理电子工程学院信阳师范学院物理电子工程学院 河南信阳464000河南信阳464000

【摘要】 利用分子反应静力学的原理,确定了7L iH分子X1Σ+态的合理离解极限;使用HF、QC ISD、QC ISD(T)、B3LYP和B3P86等方法,6-311G、6-311G(d,p)、6-311G(3df,3pd)、D95V(d,p)和D95V(3df,3dp)等基组,对7LiH分子X1Σ+态的平衡核间距、谐振频率和离解能进行了优化计算,且将计算结果(平衡核间距0.160 9 nm、谐振频率1 390.51 cm-1、离解能2.474 eV)与实验结果(平衡核间距0.159 6 nm、谐振频率1 405.7cm-1、离解能2.515 eV)进行了比较,得出了包含单、双取代并加入三重激发贡献的QC ISD(T)方法为最优方法、基组6-311G(3df,3pd)为最优基组的结论.在QC ISD(T)/6-311G(3df,3pd)理论水平,对7LiH分子的X1Σ+态进行了单点能扫描,并用最小二乘法拟合出了其解析势能函数;从拟合出的解析势能函数出发,计算出了X1Σ+态的光谱常数Be,αe和ωeeχ(其值分别为7.379 cm-1、0.197 6 cm-1和21.697 cm-1),以及二阶、三阶和四阶力常数f2、f3和f4(其值分别为106.37 aJ.nm-2、-3 650.4 aJ.nm-3和112 176.2 aJ.nm-4).

【Abstract】 The reasonable dissociation limit of the X1Σ+ state 7LiH molecule is attained by using the molecular reaction static theory.The equilibrium separation of 0.160 9 nm,the harmonic vibrational frequency of(1 390.51cm-1)and the dissociation energy of 2.474 eV about this state are accurately calculated by using such methods as HF,QCISD,QCISD(T),B3LYP and B3P86 with the basis sets 6-311G,6-311G(d,p),6-311G(3df,3pd),D95V(d,p) and D95V(3df,3pd).Comparing the attained results with the experiments,the conclusion is gained that the QCISD(T)/ 6-311G(3df,3pd) is the most suitable for the ground-state energy calculation of 7LiH molecule.The whole potential energy curve for this state is further scanned at the QCISD(T)/6-311G(3df,3pd) theory level,then has a least squares fitted to the analytic Murrell-Sorbie function form,and last the spectroscopy data(Be=7.379 cm-1e=0.197 6 cm-1 and ωeχe=21.697 cm-1) and force constants(f2=106.37 aJ·nm-2,f3=-3 650.4 aJ·nm-3 and f4=112 176.2 aJ·nm-4) are calculated.

【基金】 国家自然科学基金项目(10574039);河南省自然科学基金项目(0511014300);河南省教育厅自然科学基金项目(2006140008)
  • 【文献出处】 信阳师范学院学报(自然科学版) ,Journal of Xinyang Normal University(Natural Science Edition) , 编辑部邮箱 ,2006年02期
  • 【分类号】O561.4
  • 【被引频次】19
  • 【下载频次】61
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