Volume 1, Issue 3
Modified Atomic Orbital Calculations for $(1s,nl)^3L^{\pi}$ and $_2 (1,0)_n^{±1,3}S^e$ Excited States of He Isoelectronic Sequence

I. Sakho

J. At. Mol. Sci., 1 (2010), pp. 224-242.

Published online: 2010-01

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  • Abstract

The singly $(1s,ns)^{3}S^{e}$, $(1s,np)^{3}P^{o}$, $(1s,nd)^{3}D^{e}$ excited states and the doubly $_{2}(1,0)_{n}^{+1}S^{e}$ and $_{2}(1,0)_{n}^{-3}S^{e}$ $(n\leq10)$ autoionizing states of the helium isoelectronic sequence are investigated using Modified Atomic Orbital Theory (MAOT). Total energies up to $Z = 10$ and excitation energies with $Z = 2$~$5$ are presented and comparison with experimental and theoretical available results indicates a good agreement. In addition, the method is applied in the calculation of accurate results in very high $Z$ - He isoelectronic sequence with $11\leq Z\leq58$ and with $Z = 60,$ 70, 80, 90 and 92 for the $(1s,ns)^{1,3}S^{e}$, $(1s,np)^{1,3}P^{o}$, $(1s,nd)^{1,3}D^{e}$, $_{2}(1,0)_{n}^{+1}S^{e}$ and $_{2}(1,0)_{n}^{-3}S^{e}$ $(n\leq7)$ excited states. The results obtained for these high $Z$ - He isoelectronic sequence are in good agreement with double sums over the complete hydrogen spectrum calculations Ivanov and Safronova.

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@Article{JAMS-1-224, author = {I. Sakho}, title = {Modified Atomic Orbital Calculations for $(1s,nl)^3L^{\pi}$ and $_2 (1,0)_n^{±1,3}S^e$ Excited States of He Isoelectronic Sequence}, journal = {Journal of Atomic and Molecular Sciences}, year = {2010}, volume = {1}, number = {3}, pages = {224--242}, abstract = {

The singly $(1s,ns)^{3}S^{e}$, $(1s,np)^{3}P^{o}$, $(1s,nd)^{3}D^{e}$ excited states and the doubly $_{2}(1,0)_{n}^{+1}S^{e}$ and $_{2}(1,0)_{n}^{-3}S^{e}$ $(n\leq10)$ autoionizing states of the helium isoelectronic sequence are investigated using Modified Atomic Orbital Theory (MAOT). Total energies up to $Z = 10$ and excitation energies with $Z = 2$~$5$ are presented and comparison with experimental and theoretical available results indicates a good agreement. In addition, the method is applied in the calculation of accurate results in very high $Z$ - He isoelectronic sequence with $11\leq Z\leq58$ and with $Z = 60,$ 70, 80, 90 and 92 for the $(1s,ns)^{1,3}S^{e}$, $(1s,np)^{1,3}P^{o}$, $(1s,nd)^{1,3}D^{e}$, $_{2}(1,0)_{n}^{+1}S^{e}$ and $_{2}(1,0)_{n}^{-3}S^{e}$ $(n\leq7)$ excited states. The results obtained for these high $Z$ - He isoelectronic sequence are in good agreement with double sums over the complete hydrogen spectrum calculations Ivanov and Safronova.

}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.042710.051510a}, url = {http://global-sci.org/intro/article_detail/jams/8083.html} }
TY - JOUR T1 - Modified Atomic Orbital Calculations for $(1s,nl)^3L^{\pi}$ and $_2 (1,0)_n^{±1,3}S^e$ Excited States of He Isoelectronic Sequence AU - I. Sakho JO - Journal of Atomic and Molecular Sciences VL - 3 SP - 224 EP - 242 PY - 2010 DA - 2010/01 SN - 1 DO - http://doi.org/10.4208/jams.042710.051510a UR - https://global-sci.org/intro/article_detail/jams/8083.html KW - atomic orbital theory, screening constant, semi-empirical calculations, autoionizing, excited states, helium isoelectronic sequence. AB -

The singly $(1s,ns)^{3}S^{e}$, $(1s,np)^{3}P^{o}$, $(1s,nd)^{3}D^{e}$ excited states and the doubly $_{2}(1,0)_{n}^{+1}S^{e}$ and $_{2}(1,0)_{n}^{-3}S^{e}$ $(n\leq10)$ autoionizing states of the helium isoelectronic sequence are investigated using Modified Atomic Orbital Theory (MAOT). Total energies up to $Z = 10$ and excitation energies with $Z = 2$~$5$ are presented and comparison with experimental and theoretical available results indicates a good agreement. In addition, the method is applied in the calculation of accurate results in very high $Z$ - He isoelectronic sequence with $11\leq Z\leq58$ and with $Z = 60,$ 70, 80, 90 and 92 for the $(1s,ns)^{1,3}S^{e}$, $(1s,np)^{1,3}P^{o}$, $(1s,nd)^{1,3}D^{e}$, $_{2}(1,0)_{n}^{+1}S^{e}$ and $_{2}(1,0)_{n}^{-3}S^{e}$ $(n\leq7)$ excited states. The results obtained for these high $Z$ - He isoelectronic sequence are in good agreement with double sums over the complete hydrogen spectrum calculations Ivanov and Safronova.

I. Sakho. (2010). Modified Atomic Orbital Calculations for $(1s,nl)^3L^{\pi}$ and $_2 (1,0)_n^{±1,3}S^e$ Excited States of He Isoelectronic Sequence. Journal of Atomic and Molecular Sciences. 1 (3). 224-242. doi:10.4208/jams.042710.051510a
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