Updated BaSTI Stellar Evolution Models and Isochrones. II. α-enhanced Calculations

This is the second paper of a series devoted to present an updated release BaSTI ( Bag Stellar Tracks and Isochrones) stellar model isochrone library. Following publication solar scaled library, here we library for $\alpha-$enhanced heavy element distribution. These new alpha-enhanced models account all improvements updates in reference metal distribution physics inputs, as The cover mass range between 0.1 $15~M_{\odot}$, 18 metallicities [Fe/H]=-3.20 +0.06 with [alpha/Fe]=+0.4 , helium enrichment ratio Delta{Y}\Delta{Z}=1.31. For each metallicity, He-enhanced are also provided. isochrones (typically) age 20Myr 14.5Gyr, including consistently pre-main sequence phase. Asteroseismic properties theoretical have been calculated. Models compared results from independent calculations, previous release, selected observations, test accuracy/reliability these calculations. All evolution tracks, asteroseismic made publicly available at http://basti-iac.oa-teramo.inaf.it