Many large scale numerical simulations of astrophysical plasmas must also
reproduce the hydrogen ionization and the resulting emission spectrum, in some
cases quite accurately. We describe a compact model hydrogen atom that can be
readily incorporated into such simulations. It reproduces the recombination
efficiency and line spectrum predicted by much larger calculations for a very
broad range of densities and temperatures. Uncertainties in hydrogen collision
data are the largest source of differences between our compact atom and
predictions of more extensive calculations, and underscore the need for
accurate atomic data.Comment: 18 pages, prepared in MS-Word, Postscript only, 12 Figures, also
available at http://www.pa.uky.edu/~ferguson/bib/bib.html, accepted for
publication in the Astrophysical Journa