By a generalization of the Herbst-Simon dispersion relation for hydrogen in an electric field, an expansion asymptotic in N for the perturbed energy coefficient E_n₁n₂m(N) is obtained from the formal asymptotic expansion (in the field strength F) for the ionization rate. Perturbation-theory calculations of E_n₁n₂m(N) to N~150 confirm the formula. Via reverse use of the dispersion relation, perturbation-theory values of E_n₁n₂m(N) yield numerical values for constants in the ionization-rate expansion that are tediuous to obtain directly. Ionization rates so calculated compare favorably with values obtained by others.
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Silverstone et al. (1979) studied this question.
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