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We investigate non‐local thermodynamic equilibrium (NLTE) effects for magnesium and calcium in the atmospheres of late‐type giant and supergiant stars. The aim of this paper is to provide a grid of NLTE/LTE equivalent width ratios  W / W * of Mg and Ca lines for the following range of stellar parameters:  T  eff ∈ [3500, 5250] K, log   g ∈ [0.5, 2.0] dex and [Fe/H] ∈ [− 4.0, 0.5] dex. We use realistic model atoms with the best physics available and taking into account the fine structure. The Mg and Ca lines of interest are in optical and near‐IR ranges. A special interest concerns the lines in the  Gaia  spectrograph [Radial Velocity Spectrometer (RVS)] wavelength domain [8470, 8740] Å. The NLTE corrections are provided as a function of stellar parameters in an electronic table as well as in a polynomial form for the  Gaia /RVS lines.

A grid of non‐local thermodynamic equilibrium corrections for magnesium and calcium in late‐type giant and supergiant stars: application to Gaia