We present a new library of synthetic spectra based on the stellar atmosphere code PHOENIX .
It covers the wavelength range from 500 Å to 55 000 Å with a resolution of R=500 000 in the optical and near IR , R=100 000 in the IR and \Delta \lambda = 0.1 Å in the UV .
The parameter space covers 2 300 \mathrm { K } \leq T _ { \mathrm { eff } } \leq 8 000 \mathrm { K } , 0.0 \leq \log ( g ) \leq + 6.0 , -4.0 \leq [ Fe / H ] \leq + 1.0 and -0.3 \leq [ \alpha / Fe ] \leq + 0.8 .
The library is work-in-progress and going to be extended to at least T _ { \mathrm { eff } } = 25 000 \mathrm { K } .
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 ( T _ { \mathrm { eff } } , \log ( g ) , [ Fe / H ] and [ \alpha / Fe ] ) and even single element abundances .