### Abstract

Energy level data recommendation by the screening constant is more useful and more accurate than that by quantum defect for high-Z ions. While the quantum defect converges to a small value as Z increases, the screening constant monotonically decreases. Z dependence of the screening constant is approximately Z^{3} for Z=10-40,Z^{3.5} for Z=40-70, and Z^{4} for Z>70. By the simple Z dependence, we have made a fitting formula for He-like ions. The same Z dependence of the screening constant has been found in different ions, Li-like, Be-like, and etc. This simple Z^{3} dependence of the screening constant could be explained as the spin-orbit interaction of the hydrogenic wave function in the Coulomb potential.

Original language | English |
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Pages (from-to) | 43-54 |

Number of pages | 12 |

Journal | Journal of Quantitative Spectroscopy and Radiative Transfer |

Volume | 67 |

Issue number | 1 |

Publication status | Published - Oct 1 2000 |

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### ASJC Scopus subject areas

- Spectroscopy
- Atomic and Molecular Physics, and Optics

### Cite this

**Energy level data recommendation by screening constant.** / Nishikawa, Takeshi.

Research output: Contribution to journal › Article

*Journal of Quantitative Spectroscopy and Radiative Transfer*, vol. 67, no. 1, pp. 43-54.

}

TY - JOUR

T1 - Energy level data recommendation by screening constant

AU - Nishikawa, Takeshi

PY - 2000/10/1

Y1 - 2000/10/1

N2 - Energy level data recommendation by the screening constant is more useful and more accurate than that by quantum defect for high-Z ions. While the quantum defect converges to a small value as Z increases, the screening constant monotonically decreases. Z dependence of the screening constant is approximately Z3 for Z=10-40,Z3.5 for Z=40-70, and Z4 for Z>70. By the simple Z dependence, we have made a fitting formula for He-like ions. The same Z dependence of the screening constant has been found in different ions, Li-like, Be-like, and etc. This simple Z3 dependence of the screening constant could be explained as the spin-orbit interaction of the hydrogenic wave function in the Coulomb potential.

AB - Energy level data recommendation by the screening constant is more useful and more accurate than that by quantum defect for high-Z ions. While the quantum defect converges to a small value as Z increases, the screening constant monotonically decreases. Z dependence of the screening constant is approximately Z3 for Z=10-40,Z3.5 for Z=40-70, and Z4 for Z>70. By the simple Z dependence, we have made a fitting formula for He-like ions. The same Z dependence of the screening constant has been found in different ions, Li-like, Be-like, and etc. This simple Z3 dependence of the screening constant could be explained as the spin-orbit interaction of the hydrogenic wave function in the Coulomb potential.

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UR - http://www.scopus.com/inward/citedby.url?scp=0033738312&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0033738312

VL - 67

SP - 43

EP - 54

JO - Journal of Quantitative Spectroscopy and Radiative Transfer

JF - Journal of Quantitative Spectroscopy and Radiative Transfer

SN - 0022-4073

IS - 1

ER -