化学学报 ›› 2011, Vol. 69 ›› Issue (07): 761-766.    下一篇

研究论文

LiBe分子基态及其低电子激发态

孙宝光,陈恒杰*,刘丰奎,杨耀辉   

  1. (重庆科技学院数理学院 重庆 401331)
  • 投稿日期:2010-09-13 修回日期:2010-12-22 发布日期:2010-12-29
  • 通讯作者: 陈恒杰 E-mail:nwwolfchj@gmail.com
  • 基金资助:

    国家自然科学基金项目

Ground and Low-lying Excited States of LiBe

SUN Bao-Guang, CHEN Heng-Jie, LIU Feng-Kui, YANG Yao-Hui   

  1. (School of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing 401331)
  • Received:2010-09-13 Revised:2010-12-22 Published:2010-12-29
  • Contact: CHEN Hengjie E-mail:nwwolfchj@gmail.com

采用Davidson校正的多参考组态相互作用方法(MRCI+Q)和多参考平均二次耦合团簇方法(MRAQCC)结合基组ROOS-ANO-TZP得到了LiBe分子基态(X1Σ)以及六个低电子激发态(a3Σ, b3Π, A1Σ, B1Π, c3Σ, C1Σ)的势能曲线(PECs). 计算结果表明: X1Σ, a3Σ, b3Π和 B1Π为弱束缚态, A1Σ, c3Σ和C1Σ为排斥态. 接着确定出束缚态的平衡键长Re, 并将得到的势能曲线在全区域拟合到Murrell-Sorbie (MS)解析势能函数形式, 从而获得各束缚电子态的光谱数据. 基态X1Σ的平衡键长为 0.263 nm, 谐振频率we为 316 cm-1, 离解能De为 0.57 eV. a3Σ, b3Π和 B1Π分别位于基态2.45, 3.10, 5.47 eV之上, 平衡核间距分别为 0.297, 0.270, 0.284 nm, 相应的谐振频率为272, 236和257 cm-1. 排斥态A1Σ, c3Σ和C1Σ对应的垂直激发能Tv分别为4.75, 6.43, 6.72 eV. 目前计算值和文献结果符合得非常好. 最后在束缚态的平衡结构附近做Dunham展开, 获得的光谱常数与MS结果一致, 据此得到X1Σ, a3Σ, b3Π和 B1Π态的部分振动能级.

关键词: LiBe, 多参考组态相互作用方法, 解析势能函数, 光谱常数, 振动能级

The potential energy curves (PECs) for the ground state (X1Σ) and six low-lying excited electronic states (a3Σ, b3Π, A1Σ, B1Π, c3Σ, C1Σ) of LiBe have been calculated using the muti-reference configuration interaction (MRCI+Q) and muti-reference averaged quadratic coupled-cluster (MRAQCC) methods including Davidson correction. It is evident that states of X1Σ, a3Σ, b3Π and B1Π were weakly bound, but A1Σ, c3Σand C1Σstates were repulsive. Then the equilibrium bond length Re for the bound states have been determined, and PECs were fitted to analytical Murrell-Sorbie potential energy function to deduce the spectroscopic constants. For the X1Σ state, the Re was 0.263 nm, rotation coupling constant was 316 cm-1 and dissociation energy De was 0.57 eV. While for the excited states a3Σ, b3Π and B1Π states, which lay above the ground state 2.45, 3.10, 5.47 eV, corresponding we was 272, 236 and 257 cm-1. A1Σ, c3Σand C1Σwere repulsive excited states when Tv were 4.75, 6.43, 6.72 eV relative to the ground state. The present results were in good agreement with other theoretical results currently available. Partial vibrational energy levels for the bound states have been determined using the Dunham expansion near the Re.

Key words: LiBe, multi-reference configuration interaction method, analytical potential energy function, spectroscopic constant, vibrational level

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