Energy levels of 1s2nd (n ≤ 9) states for lithium-like ions

doi:10.1088/1674-1056/20/8/083101

Abstract The full-core plus correlation method with multi-configuration interaction wave functions is extended to the calculation of the non-relativistic energies of 1s²nd (n ≤ 9) states for the lithium isoelectronic sequence from Z = 11 to 20. Relativistic and mass-polarization effects on the energy are calculated as the first-order perturbation correction. The quantum-electrodynamics correction is also included. The fine structure splittings are determined from the expectation values of spin—orbit and spin—other-orbit interaction operators in the Pauli—Breit approximation. Combining the term energies of lowly excited states obtained with the quantum defects calculated by the single channel quantum defect theory, each of which is a smooth function of energy and approximated by a weakly varying function of energy, the ion potentials of highly excited states (n $\ge$ 6) are obtained with the semi-empirical iteration method. The results are compared with experimental data in the literature and found to be closely consistent with the regularity.

Keywords: lithium-like ions excited states quantum defect theory quantum defect

Received: 08 December 2010
Revised: 06 March 2011
Accepted manuscript online:

PACS:	31.15.aj	(Relativistic corrections, spin-orbit effects, fine structure; hyperfine structure)
	31.30.J-	(Relativistic and quantum electrodynamic (QED) effects in atoms, molecules, and ions)
	31.30.jc	(Relativistic corrections to atomic structure and properties)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11074102) and the Natural Science Foundation of Liaoning Province of China (Grant No. 20092172).

Cite this article:

Hu Mu-Hong(胡木宏), Wang Zhi-Wen(王治文), Zeng Fan-Wei(曾凡伟), Wang Tao(王涛), and Wang Jing(王晶) Energy levels of 1s²nd (n ≤ 9) states for lithium-like ions 2011 Chin. Phys. B 20 083101

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Energy levels of 1s2nd (n ≤ 9) states for lithium-like ions

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Energy levels of 1s²nd (n ≤ 9) states for lithium-like ions