  We present a new library of synthetic spectra based on the stellar atmosphere
code PHOENIX. It covers the wavelength range from 500{\AA} to 55000{\AA} with a
resolution of R=500000 in the optical and near IR, R=100000 in the IR and
{\Delta}{\lambda}=0.1{\AA} in the UV. The parameter space covers
2300K<=Teff<=8000K, 0.0<=log(g)<=6.0, -4.0<=[Fe/H]<=+1.0 and
-0.3<=[{\alpha}/Fe]<=+0.8. The library is work-in-progress and going to be
extended to at least Teff=25000K. We use a new self-consistent way of
describing the microturbulence for our model atmospheres. The entire library of
synthetic spectra will be available for download. Futhermore we present a
method for fitting spectra, especially designed to work with the new 2nd
generation VLT instrument MUSE. We show that we can determine stellar
parameters (Teff, log(g), [Fe/H] and [{\alpha}/Fe]) and even single element
abundances.
