We present a library of 952 synthetic spectra characterized by -2.5<=[Z/Z_sun_]<=+0.5, 4.5<=logg<=1.0, 3500<=T(eff)<=50000K, at a resolving power (lambda/Delta_lambda) of 20000 over the wavelength range 7650-8750{AA}. The wavelength range covers the near-IR Ca II triplet and the head of the hydrogen's Paschen series, the K I doublet (7664, 7699{AA}), the Na I doublet (8183, 8194{AA}) and the lines of Fe I multiplet N.60 at 8327 and 8388{AA}. The synthetic spectra are based on Kurucz's codes and line data.