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Large grids of synthetic spectra covering a widespread range of stellarparameters are mandatory for different stellar and (extra-)Galactic physicsapplications. Such large grids can be used for the automatic parametrisation ofstellar spectra such as that performed within the AMBRE project for which themain goal is the stellar atmospheric parameters determination for the fewhundreds of thousands of archived spectra of four ESO spectrographs. To fulfilthe needs of AMBRE and future similar projects, we have computed a grid ofsynthetic spectra over the whole optical domain for cool to very cool stars ofany luminosity with metallicities varying from 10-5 to 10 times the solarmetallicity, and considering large variations in the chemical content of the{\alpha}-elements. New generation MARCS model atmospheres and the Turbospectrumcode for radiative transfer have been used. We have also taken into account ascomplete as possible atomic and molecular linelists. A new grid of 16783 highresolution spectra over the wavelength range 3000 to 12000 {\AA} has beencomputed with a spectral resolution always larger than 150000. Normalised andabsolute flux versions are available over a wide range of stellar atmosphericparameters for stars of FGKM spectral types. The covered parameters are2500K\leqTeff\leq8000K, -0.5\leqlog(g)\leq5.5dex, -5.0\leq[M/H]\leq+1.0 dex andfive different values of the enrichment in {\alpha}-elements have beenconsidered (0.0, \pm0.2 dex and \pm0.4 dex around the standard values). Thisgrid is made publicly available through the POLLUX database (about 50% of thespectra are already included in this database) and in FITS format upon requestto the authors.

The AMBRE project: A new synthetic grid of high-resolution FGKM stellar spectra