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

T.-Y. Zhang and N.-W. Zheng Department of Chemistry, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China

Received: November 29, 2008;

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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 1P1, [He] 2s2p 3P0, [He] 2s2p 3P2, and [He] 2s3s 3S1 series of Be-like sequence; [Ne] 3s23d 2D3/2 series and [Ne] 3s23d 2D5/2 series of Al-like sequences; [Ne] 4p 2P1/2 series, [Ne] 5d 2D5/2 series, and [Ne] 6f 2F7/2 series of Na-like sequences. In the method I(Z)=Tlim (Z)-T(Z,n), where I(Z), Tlim(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.

DOI: 10.12693/APhysPolA.115.629 PACS numbers: 01.55.+b, 31.15.-p