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 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.
| Original language | English |
|---|---|
| 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
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Energy level data recommendation by screening constant. / Nishikawa, Takeshi.
In: Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 67, No. 1, 01.10.2000, p. 43-54.Research output: Contribution to journal › Article
}
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 -