We present a new and complete library of synthetic spectra for modeling the component of emission that is reflected from an illuminated accretion disk .
The spectra were computed using an updated version of our code xillver that incorporates new routines and a richer atomic data base .
We offer in the form of a table model an extensive grid of reflection models that cover a wide range of parameters .
Each individual model is characterized by the photon index \Gamma of the illuminating radiation , the ionization parameter \xi at the surface of the disk ( i.e. , the ratio of the X-ray flux to the gas density ) , and the iron abundance A _ { \mathrm { Fe } } relative to the solar value .
The ranges of the parameters covered are : 1.2 \leq \Gamma \leq 3.4 , 1 \leq \xi \leq 10 ^ { 4 } , and 0.5 \leq A _ { \mathrm { Fe } } \leq 10 .
These ranges capture the physical conditions typically inferred from observations of active galactic nuclei , and also stellar-mass black holes in the hard state .
This library is intended for use when the thermal disk flux is faint compared to the incident power-law flux .
The models are expected to provide an accurate description of the Fe K emission line , which is the crucial spectral feature used to measure black hole spin .
A total of 720 reflection spectra are provided in a single FITS file http : //hea-www.cfa.harvard.edu/~javier/xillver/ suitable for the analysis of X-ray observations via the atable model in xspec .
Detailed comparisons with previous reflection models illustrate the improvements incorporated in this version of xillver .