An extensive library of synthetic spectra covering the far red, RAVE and GAIA wavelength ranges

A library of 183588 synthetic spectra based on Kurucz's ATLAS9 models is presented for the far red spectral interval (7653 -- 8747\AA). It is characterized by 3500 K <= T_eff <= 47500 K, 0.0 <= log g <= 5.0, -3.0 <= [M/H] <= +0.5, 0 <= V_rot <= 500 km/s, xi = 2 km/s. The whole grid of spectra is calculated for resolving powers 8500, 11500 and 20000. A section of the grid is also computed for [alpha/Fe]=+0.4 and for microturbulent velocities 0 and 4 km/s. The library covers the wavelength ranges and resolutions of the two ambitious spectroscopic surveys by the ground experiment RAVE and the space mission GAIA. Cross-sections across the multi-dimensional data-cube are used to illustrate the behaviour of the strongest spectral lines. Interpretation of real data will have to include interpolation to grid substeps. We present a simple estimate of the accuracy of such a procedure.