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

• Authors: T. Zhang , N. Zheng
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

01.55.+b; 31.15.-p

Discipline

• 31.15.-p: Calculations and mathematical techniques in atomic and molecular physics(see also 02.70.-c Computational techniques, in mathematical methods in physics)
• 01.55.+b: General physics

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 3
• Pages: 629-635

Dates

published

2009-03

received

2008-11-29

Contributors

author

T. Zhang

• Department of Chemistry, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China

author

N. Zheng

• Department of Chemistry, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China

References

• 1. A. Irimia, C.F. Fischer, J. Phys. B 37, 1659 (2004)
• 2. C.F. Fischer, G. Tachiev, At. Data Nucl. Data Tables 87, 1 (2004)
• 3. C.F. Fischer, G. Tachiev, A. Irimia, At. Data Nucl. Data Tables 92, 607 (2006)
• 4. V.A. Dzuba, U.I. Safronova, W.R. Johnson, Phys. Rev. A 68, 032503 (2003)
• 5. V.A. Dzuba, Phys. Rev. A 71, 062501 (2005)
• 6. V.A. Dzuba, J.S.M. Ginges, Phys. Rev. A 73, 032503 (2006)
• 7. V.A. Dzuba, V.V. Flambaum, J. Phys. B 40, 227 (2007)
• 8. U.I. Safronova, W.R. Johnson, M.S. Safronova, J.R. Albritton, Phys. Rev. A 66, 022507 (2002)
• 9. U.I. Safronova, C. Namba, J.R. Albritton, W.R Johnson, M.S. Safronova, Phys. Rev. A 65, 022507 (2002)
• 10. U.I. Safronova, T.E. Cowan, M.S. Safronova, Phys. Lett. A 348, 293 (2006)
• 11. U.I. Safronova, I.M. Savukov, M.S. Safronova, W.R. Johnson, Phys. Rev. A 68, 62505 (2003)
• 12. H.C. Ho, W.R. Johnson, S.A. Blundell, M.S. Safronova, Phys. Rev. A 74, 022510 (2006)
• 13. U.I. Safronova, W.R. Johnson, M.S. Safronova, Phys. Rev. A 76, 042504 (2007)
• 14. S.A. Blundell, W.R. Johnson, M.S. Safronova, U.I. Safronova, Phys. Rev. A 77, 032507 (2008)
• 15. N.W. Zheng, A New Outline of Atomic Theory, Jiang Su Education Press, Nan Jing, China 1988
• 16. N.W. Zheng, T. Wang, D.X. Ma, T. Zhou, J. Fan, Int. J. Quantum Chem. 98, 281 (2004)
• 17. T.Y. Zhang, N.W. Zheng, D.X. Ma, Phys. Scr. 75, 763 (2007)
• 18. D.X. Ma, N.W. Zheng, J. Fan, J. Phys. Chem. Ref. Data 33, 1013 (2004)
• 19. D.X. Ma, N.W. Zheng, X. Lin, Spectrochim. Acta B 58, 1625 (2003)
• 20. N.W. Zheng, T. Zhou, R.Y. Yang, T. Wang, D.X. Ma, Chem. Phys. 258, 37 (2000)
• 21. N.W. Zheng, D.X. Ma, R.Y. Yang, T. Zhou, T.Wang, S. Han, J. Chem. Phys. 113, 1681 (2000)
• 22. N.W. Zheng, Y.J. Sun, Sci. Chin. B 43, 113 (2000)
• 23. N.W. Zheng, J. Fan, D.X. Ma, T. Wang, J. Phys. Soc. Jap. 72, 3091 (2003)
• 24. N.W. Zheng, T. Wang, D.X. Ma, T. Zhou, Int. J. Quantum Chem. 87, 293 (2002)
• 25. N.W. Zheng, Weakest Bound Electron Theory, University of Science and Technology of China press, to be published
• 26. N.W. Zheng, T. Wang, Int. J. Quantum Chem. 98, 495 (2004)
• 27. N.W. Zheng, T. Wang, Chem. Phys. Lett. 376, 557 (2003)
• 28. N.W. Zheng, T. Wang, Int. J. Quantum Chem. 93, 344 (2003)
• 29. N.W. Zheng, T. Zhou, T. Wang, R.Y. Yang, Y.J. Sun, F. Wang, C.G. Chen, Phys. Rev. A 65, 052510 (2002)
• 30. E.R. Davidson, S.A. Hagstrom, S.J. Chakrorty, V.M. Umar, C.F. Fischer, Phys. Rev. A 44, 7071 (1991)
• 31. J.R. Fuhr, W.C. Martin, A. Musgrove, J. Sugar, W.L. Wiese, NIST Atomic Spectroscopic Database, http://physics.nist.gov [Physical Reference Data]
• 32. M.S. Safronova, W.R. Johnson, U.I. Safronova, Phys. Rev. A 53, 4036 (1996)
• 33. M.S. Safronova, W.R. Johnson, U.I. Safronova, J. Phys. B 30, 2375 (1997)

Identifiers

DOI

10.12693/APhysPolA.115.629