Abstract
Large grids of synthetic spectra covering a widespread range of stellar parameters are mandatory for different stellar and (extra-)Galactic physics applications. Such large grids can be used for the automatic parametrisation of stellar spectra such as that performed within the AMBRE project for which the main goal is the stellar atmospheric parameters determination for the few hundreds of thousands of archived spectra of four ESO spectrographs. To fulfil the needs of AMBRE and future similar projects, we have computed a grid of synthetic spectra over the whole optical domain for cool to very cool stars of any luminosity with metallicities varying from 10-5 to 10 times the solar metallicity, and considering large variations in the chemical content of the {\alpha}-elements. New generation MARCS model atmospheres and the Turbospectrum code for radiative transfer have been used. We have also taken into account as complete as possible atomic and molecular linelists. A new grid of 16783 high resolution spectra over the wavelength range 3000 to 12000 {Å} has been computed with a spectral resolution always larger than 150000. Normalised and absolute flux versions are available over a wide range of stellar atmospheric parameters for stars of FGKM spectral types. The covered parameters are 2500K\leqTeff\leq8000K, -0.5\leqlog(g)\leq5.5dex, -5.0\leq[M/H]\leq+1.0 dex and five different values of the enrichment in {\alpha}-elements have been considered (0.0, \pm0.2 dex and \pm0.4 dex around the standard values). This grid is made publicly available through the POLLUX database (about 50% of the spectra are already included in this database) and in FITS format upon request to the authors.