中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4175-4179.doi: 10.1088/1674-1056/17/11/036

• ATOMIC AND MOLECULAR PHYSICS • 上一篇    下一篇

Wavefunction and energy of the 1s22sns configuration in a beryllium atom

黄时中, 马 堃, 于加明, 刘 芬   

  1. College of Physics and Electrical Information, Anhui Normal University, Wuhu 241000, China
  • 收稿日期:2008-04-16 修回日期:2008-06-02 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, Ministry of Education of China (Grant No 2005LXAH06 ) and the Research Foundation of Education Bureau of Anhui Province, China (Grant Nos KJ2008A145 and 2002HBL05).

Wavefunction and energy of the 1s22sns configuration in a beryllium atom

Huang Shi-Zhong (黄时中), Ma Kun (马 堃), Yu Jia-Ming (于加明), Liu Fen (刘 芬)   

  1. College of Physics and Electrical Information, Anhui Normal University, Wuhu 241000, China
  • Received:2008-04-16 Revised:2008-06-02 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, Ministry of Education of China (Grant No 2005LXAH06 ) and the Research Foundation of Education Bureau of Anhui Province, China (Grant Nos KJ2008A145 and 2002HBL05).

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摘要： A new set of trial functions for 1s$^{2}$2s$n$s configurations in a beryllium atom is suggested. A Mathematica program based on the variational method is developed to calculate the wavefunctions and energies of 1s$^{2}$2s$n$s ($n=3-6$) configurations in a beryllium atom. Non-relativistic energy, polarization correction and relativistic correction which include mass correction, one- and two-body Darwin corrections, spin-spin contact interaction and orbit-orbit interaction, are calculated respectively. The results are in good agreement with experimental data.

Abstract: A new set of trial functions for 1s$^{2}$2s$n$s configurations in a beryllium atom is suggested. A Mathematica program based on the variational method is developed to calculate the wavefunctions and energies of 1s$^{2}$2s$n$s ($n=3-6$) configurations in a beryllium atom. Non-relativistic energy, polarization correction and relativistic correction which include mass correction, one- and two-body Darwin corrections, spin-spin contact interaction and orbit-orbit interaction, are calculated respectively. The results are in good agreement with experimental data.

Key words: beryllium atom, wavefunction, energy

中图分类号:  (Relativistic and quantum electrodynamic (QED) effects in atoms, molecules, and ions)

  • 31.30.J-
31.15.V- (Electron correlation calculations for atoms, ions and molecules) 31.15.xt (Variational techniques)