NLTE line formation for Mg\ione\ and Mg\ii\ in atmospheres of B-A-F-G-K stars

Abstract

Non-local thermodynamical equilibrium (NLTE) line formation for Mg I and Mg II lines is considered in classical 1D-LTE model atmospheres of the Sun and 17 stars with reliable atmospheric parameters and in a broad range of spectral types: 3900 $\le$ \Teff\ $\le$ 17500~K, 1.1 $\le$ log$g$ $\le$ 4.7, and $-$2.6 $\le$ [Fe/H] $\le$ +0.4. We find that, for each star, NLTE leads to smaller line-to-line scatter. For 10 stars, NLTE leads to consistent abundances from Mg I and Mg II, while the difference in the LTE abundance varies between $-0.21$ and +0.23~dex. We obtain an abundance discrepancy betweeen Mg I and Mg II in the two very metal-poor stars, HD 140283 and HD 84937. An origin of these abundance differences remains unclear. Our standard NLTE modelling predicts Mg I emission lines at 7.736, 11.789, 12.224, and 12.321 $\mu$m in the atmospheres with \Teff\ $\le$ 7000 K. We reproduce well the Mg I 12.2 and 12.3 $\mu$m emission lines in Procyon. However, for the Sun and 3 K-giants, the predicted Mg I emission lines are too weak compared with the observations. For stars with 7000 K $\le$ \Teff\ $\le$ 17500 K, we recommend the Mg II 3848, 3850, 4384, 4390, 4427, and 4433 Å lines for Mg abundance determinations even at the LTE assumption due to their small NLTE effects. The Mg I 4167, 4571, 4702, 5528, 5167, 5172, and 5183 Å lines can be safely used in the LTE analysis of stars with 7000 K $<$ \Teff\ $\le$ 8000 K. For the hotter stars, with \Teff\ from 8000 to 9500 K, the NLTE effects are minor only for Mg\ione\ 4167, 4702, and 4528 Å.

24 pages, 11 figures