Theoretical stellar libraries have been increasingly used to overcome limitations of empirical libraries , e.g . by exploring atmospheric parameter spaces not well represented in the latter . This work presents a new theoretical library which covers 3000 \leq T _ { eff } \leq 25000 K , -0.5 \leq \log g \leq 5.5 , and 12 chemical mixtures covering 0.0017 \leq Z \leq 0.049 at both scaled-solar and \alpha -enhanced compositions . This library complements previous ones by providing : i ) homogeneous computations of opacity distribution functions , models atmospheres , statistical surface fluxes and high resolution spectra ; ii ) high resolution spectra with continua slopes corrected by the effect of predicted lines , and ; iii ) two families of \alpha -enhanced mixtures for each scaled-solar iron abundance , to allow studies of the \alpha -enhancement both at ‘ fixed iron ’ and ‘ fixed Z ’ cases . Comparisons to observed spectra were performed and confirm that the synthetic spectra reproduce well the observations , although there are wavelength regions which should be still improved . The atmospheric parameter scale of the model library was compared to one derived from a widely used empirical library , and no systematic difference between the scales was found . This is particularly reassuring for methods which use synthetic spectra for deriving atmospheric parameters of stars in spectroscopic surveys .