The statistical equilibrium of hydrogen and helium in a radiation field, with an application to interpreting Wolf-Rayet spectra
The interpretation of the intensities of the hydrogen and helium emission lines in O and Wolf-Rayet spectra in terms of the abundance of hydrogen relative to helium requires information regarding the distribution of hydrogen and helium atoms and ions over their several energy states. In addition, some estimate is needed regarding the transmission of the radiation through the stellar mantle. The present paper provides new information concerning the population of the energy levels of hydrogen and helium when statistical equilibrium occurs in the presence of a radiation field. The results are applied to an interpretation of the spectra of four Wolf-Rayet stars, taking into account the implications for interpreting the spectra of O stars, OB supergiants, and Be stars.