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Description
Starting from the quantum model of the hydrogen atom, we calculate and tabulate the peaks of Humphreys α-multiplet in fine-structure approximation (fs-approximation) [1,2]. We determine the spectral line peaks of this multiplet using a new MaximumLocalisation-spectral-Model which is based on several spectroscopic and statistical hypotheses [2-4]. By statistical analysis of the NIST and ACE data, we evaluate the parameters of the regression curves for the multiples of Lyman..Pfund and Humphreys spectral series (Fig.1). Furthermore, an algorithm for the quantum spectral reconstruction of multiplets in fs-approximation for any Sn spectral series of H-I is provided, n being the order of the spectral series. A plot representation is used to give a statistical global view of the first six series of H-I spectrum. The results confirm the measurements provided of the solar data from ACE mission [5].
Keywords: Humphreys series, solar data, NIST, spectral model, algorithm, statistics-regression.
Reference :
[1] A.E. Kramida, A critical compilation of experimental data on spectral lines and energy levels of hydrogen, deuterium, and tritium, Atomic Data and Nuclear Data Tables (2010).
[2] D. R. Constantin, L. Preda, M. Rushton, U.P.B. Sci. Bull. Series A 85-1, 167 (2023).
[3] D. R. Constantin, L. Preda, M. Rushton, U.P.B. Sci. Bull. Series A 85-4, 201 (2023).
[4] Marius Iosifescu et al., Mica enciclopedie de statistica, Ed. Stiintifica si Enciclopedica (1985).
[5] Frank Hase et al., Journal of Quantitative Spectroscopy & Radiative Transfer 111, 521 (2010).
