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Calculations of Energy Levels Using the Weakest Bound Electron Potential Model Theory

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Zhang T., Zheng N.

Acta Physica Polonica A

2009

vol. 115

issue 3

629-635

In this paper, we introduce a new method for calculation of energy levels in detail and give our results for several iso-spectrum-level series as examples: [He] 2s2p ^{1}P_{1}, [He] 2s2p ^{3}P_{0}, [He] 2s2p ^{3}P_{2}, and [He] 2s3s ^{3}S_{1} series of Be-like sequence; [Ne] 3s^{2}3d ^{2}D_{3/2} series and [Ne] 3s^{2}3d ^{2}D_{5/2} series of Al-like sequences; [Ne] 4p ^{2}P_{1/2} series, [Ne] 5d ^{2}D_{5/2} series, and [Ne] 6f ^{2}F_{7/2} series of Na-like sequences. In the method I(Z)=T_lim (Z)-T(Z,n), where I(Z), T_lim(Z), and T(Z,n) denote ionization potential, series limit, and energy level of a given member, respectively. The expression of non-relativistic part of I(Z) is derived from weakest bound election potential model theory and relativistic effects of I(Z) are included by using a six-order polynomial in Z. Our results are compared with the experimental data and with those obtained by other theoretical method.

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1 Acta Physica Polonica A

1 2009

1 Zhang T.

1 Zheng N.

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Calculations of Energy Levels Using the Weakest Bound Electron Potential Model Theory