Extended analysis of the free ion spectrum of Er<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si7.svg"><mml:msup><mml:mrow/><mml:mrow><mml:mn>3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math>(Er IV)

Chikh, A.; Deghiche, Djamel; Meftah, A.; Tchang-Brillet, W. Ü. L.; Wyart, J.-F.; Balança, Christian; Champion, Norbert; Blaess, C.

doi:10.1016/j.jqsrt.2021.107796

Cited by 4 publications

(1 citation statement)

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“…Saloman and his co-works reported neutral vanadium [24] and singly ionized vanadium [25] energy levels. Parametric calculations of the free ion spectrum of Er IV have been performed using the Cowan codes by Chikh et al, [26] has led to the determination of 168 new energy levels in Er IV, in addition to the 120 previously known ones. Inspired by the Cowan code, if the current state-of-theart data-driven machine learning (ML) method is integrated into the calculation of atomic structure parameters, the accuracy of the current atomic structure calculation program can be improved.…”

Section: Introductionmentioning

confidence: 99%

Ridge regression energy levels calculation of neutral ytterbium (Z = 70)

Chen

Jiang

2023

Chinese Phys. B

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In view of the diffculty in calculating the atomic structure parameters of high-Z elements, the HFR (Hartree-Fock with relativistic corrections) theory in combination with the ridge regression (RR) algorithm rather than the Cowan code’s least squares fitting (LSF) method is proposed and applied. By analyzing the energy level structure parameters of the HFR theory and using the fitting experimental energy level extrapolation method, some excited state energy levels of the Yb I (Z = 70) atom including the 4f open shell are calculated. The advantages of the ridge regression algorithm are demonstrated by comparing it with Cowan code’s LSF results. In addition, the results obtained by the new method are compared with the experimental results and other theoretical results to demonstrate the reliability and accuracy of our approach.

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Section: Introductionmentioning

confidence: 99%