Kinetic equilibrium of iron in the atmospheres of cool stars^*

III. The ionization equilibrium of selected reference stars

¹ Institut für Astronomie und Astrophysik der Universität München, Universitäts-Sternwarte München (USM), Scheinerstraße 1, 81679 München, Germany
² Max-Planck Institut für extraterrestrische Physik (MPE), Giessenbachstraße, 85748 Garching, Germany
³ National Astronomical Observatories, Chinese Academy of Sciences (NAOC), Beijing 100012, PR China

Corresponding author: A. J. Korn, ajkorn@usm.uni-muenchen.de

Received: 12 February 2003
Accepted: 16 June 2003

Abstract

Non-LTE line formation calculations of  are performed for a small number of reference stars to investigate and quantify the efficiency of neutral hydrogen collisions. Using the atomic model that was described in previous publications, the final discrimination with respect to hydrogen collisions is based on the condition that the surface gravities as determined by the / ionization equilibria are in agreement with their astrometric counterparts obtained from Hipparcos parallaxes. High signal-to-noise, high-resolution échelle spectra are analysed to determine individual profile fits and differential abundances of iron lines. Depending on the choice of the hydrogen collision scaling factor S_H, we find deviations from LTE in  ranging from 0.00 (S_H = ∞) to 0.46 dex (S_H = 0 for HD 140283) in the logarithmic abundances while  follows LTE. With the exception of Procyon, for which a mild temperature correction is needed to fulfil the ionization balance, excellent consistency is obtained for the metal-poor reference stars if Balmer profile temperatures are combined with S_H = 3. This value is much higher than what is found for simple atoms like Li or Ca, both from laboratory measurements and inference of stellar analyses. The correct choice of collisional damping parameters (“van-der-Waals” constants) is found to be generally more important for these little evolved metal-poor stars than considering departures from LTE. For the Sun the calibrated value for S_H leads to average  non-LTE corrections of 0.02 dex and a mean abundance from  lines of  ε(Fe) = 7.49 ± 0.08. We confront the deduced stellar parameters with comparable spectroscopic analyses by other authors which also rely on the iron ionization equilibrium as a gravity indicator. On the basis of the Hipparcos astrometry our results are shown to be an order of magnitude more precise than published data sets, both in terms of offset and star-to-star scatter.