中国物理B ›› 2018, Vol. 27 ›› Issue (9): 93101-093101.doi: 10.1088/1674-1056/27/9/093101

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Ground-state energy of beryllium atom with parameter perturbation method

Feng Wu(吴锋), Lijuan Meng(孟丽娟)   

  1. Department of Physics, Yancheng Institute of Technology, Yancheng 224051, China
  • 收稿日期:2018-05-19 修回日期:2018-06-10 出版日期:2018-09-05 发布日期:2018-09-05
  • 通讯作者: Feng Wu E-mail:wufeng@ycit.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 11647071) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20160435).

Ground-state energy of beryllium atom with parameter perturbation method

Feng Wu(吴锋), Lijuan Meng(孟丽娟)   

  1. Department of Physics, Yancheng Institute of Technology, Yancheng 224051, China
  • Received:2018-05-19 Revised:2018-06-10 Online:2018-09-05 Published:2018-09-05
  • Contact: Feng Wu E-mail:wufeng@ycit.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 11647071) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20160435).

摘要:

We present a perturbation study of the ground-state energy of the beryllium atom by incorporating double parameters in the atom's Hamiltonian. The eigenvalue of the Hamiltonian is then solved with a double-fold perturbation scheme, where the spin-spin interaction of electrons from different shells of the atom is also considered. Calculations show that the obtained ground-state energy is in satisfactory agreement with experiment. It is found that the Coulomb repulsion of the inner-shell electrons enhances the effective nuclear charge seen by the outer-shell electrons, and the shielding effect of the outer-shell electrons to the nucleus is also notable compared with that of the inner-shell electrons.

关键词: parameter perturbation method, double-fold perturbation scheme, ground-state energy

Abstract:

We present a perturbation study of the ground-state energy of the beryllium atom by incorporating double parameters in the atom's Hamiltonian. The eigenvalue of the Hamiltonian is then solved with a double-fold perturbation scheme, where the spin-spin interaction of electrons from different shells of the atom is also considered. Calculations show that the obtained ground-state energy is in satisfactory agreement with experiment. It is found that the Coulomb repulsion of the inner-shell electrons enhances the effective nuclear charge seen by the outer-shell electrons, and the shielding effect of the outer-shell electrons to the nucleus is also notable compared with that of the inner-shell electrons.

Key words: parameter perturbation method, double-fold perturbation scheme, ground-state energy

中图分类号:  (Perturbation theory)

  • 31.15.xp
31.15.ve (Electron correlation calculations for atoms and ions: ground state) 32.10.-f (Properties of atoms)