  We review recent progress on the modeling and use of reflection spectra from
irradiated and ionized accretion discs. On the computational side, calculations
of reflection spectra from discs with non-uniform density structure have shown
that thermal instabilities can effect the predictions. Ionized reflection
spectra have been used effectively in fitting data of Narrow-Line Seyfert 1
galaxies, and have placed constraints on the strength and shape of soft X-ray
emission lines.
