# On the iron ionization balance of cool stars

## TL;DR

This study investigates the discrepancy in iron ionization balance in cool stars, identifying unresolved spectral line blends as a key factor and proposing improved methods for accurate stellar parameter determination.

## Contribution

It introduces a refined line selection process and demonstrates that Ti ionization balance can better estimate surface gravities in cool dwarf stars.

## Key findings

- Unresolved blends cause overestimation of FeII lines.
- Clean line list aligns spectroscopic and trigonometric gravities.
- Ti ionization balance outperforms Fe in gravity estimates.

## Abstract

High-resolution spectroscopic studies of solar-type stars have revealed higher iron abundances derived from singly ionized species compared to neutral, violating the ionization equilibrium under the assumption of local thermodynamic equilibrium. In this work, we investigate the overabundances of FeII lines reported in our previous work for a sample of 451 solar-type HARPS stars in the solar neighborhood. The spectroscopic surface gravities of this sample which emerge from the ionization balance, appear underestimated for the K-type stars. In order to understand this behavior, we search our FeII line list for unresolved blends and outliers. First, we use the VALD to identify possible unresolved blends around our lines and calculate which ones are strong enough to cause overestimations in the equivalent width measurements. Second, for our sample we use reference parameters (effective temperature and metallicity) and the Gaia DR2 parallaxes to derive surface gravities (trigonometric gravities) and calculate the FeI and FeII abundances from different line lists. We exclude the FeII lines which produce overabundances above 0.10 dex. The derived surface gravities from the clean line list are now in agreement with the trigonometric. Moreover, the difference between FeI and FeII abundance does not show now a correlation with the effective temperature. Finally, we show that the ionization balance of Ti can provide better estimates of surface gravities than iron. With this analysis, we provide a solution to the ionization balance problem observed in the atmospheres of cool dwarfs.