A Lagrangian hydrodynamics code is used to provide the temperature and density parameterization for a coupled set of rate equations which describe the number densities of the ionization stages in a laser-produced, expanding plasma. Comparison of the steady state and rate equation ion density distributions indicates that time delays in the ionization of the plasma can affect x-ray calculations whereas the calculation of the freezing out of the recombination processes in the plasma is necessary to predict signals from ion diagnostics.
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Matzen et al. (1979) studied this question.