| Abstract
| - In this paper we complete the library of synthetic spectra for the range 7650-8750 Å, which includes the 8500-8750 Åinterval currently base-lined for the spectroscopic observations by GAIA, candidate ESA Cornerstone 5 mission. As for Paper II, the spectra are based on Kurucz's codes and line data. The explored metallicity, gravity and temperature ranges are $-2.5\leq [Z/Z_odot]\leq +0.5$, $4.5\leq\log g\leq 2.0$ and $7750\leq$$T\rm_{eff}$$\leq50 000$ K, respectively. The 698 new spectra are computed at the same $\lambda/\!\bigtriangleup\lambda=20 000$ resolving power of the observed spectra given in Paper I (131 standard stars mapping the MKK spectral classification system) and the 254 synthetic spectra of Paper II (characterized by $T\rm_{eff}$$\leq 7 500$ K).
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