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.
Received: 16 April 2008
Revised: 02 June 2008
Accepted manuscript online:
PACS:
31.30.J-
(Relativistic and quantum electrodynamic (QED) effects in atoms, molecules, and ions)
Fund: 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).
Cite this article:
Huang Shi-Zhong (黄时中), Ma Kun (马 堃), Yu Jia-Ming (于加明), Liu Fen (刘 芬) Wavefunction and energy of the 1s22sns configuration in a beryllium atom 2008 Chin. Phys. B 17 4175
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