The age-metallicity relation in the red giant stars

In this thesis, the age-metallicity relation for evolved stars in the Solar vicinity was investigated using spectroscopic and astrometric data of red giant stars. Spectroscopic and astrometric data were provided from APOGEE-2 and Gaia DR2 catalogues, respectively. Red giant stars were selected by taking into account their effective temperature and surface gravity with the ranges 3550≤Teff (K)≤5600 and 0.5≤ log g (cm/s)≤3.5, respectively. 62,928 stars analyzed by applying the constraints on the relative parallax and total space velocity errors. In the investigation of the age-metallicity relation, the distances to the Galaxy centre and the Galactic plane, alpha and iron abundances of the red giant stars were taken into consideration. A significant change in the age-metal abundance relation was determined for the red giant stars of thin and thick disc/halo.