On determining the primordial helium abundance from the spectra of H II galaxies
A data set of 53 H II galaxies and giant H II regions whose observed abundances have reliable formal uncertainties reveals that the O/H-He/H relation used to determine the primordial helium abundance (PBA) has a highly significant physical dispersion. Consideration of possible sources of scatter indicates that it is almost certainly one-sided, i.e., upward from a minimum value of He/H at each O/H. The presence of an asymmetric dispersion casts doubt on values of PBA obtained by extrapolating ridge-line fits to the O/H-He/H relation. The loss of oxygen in SN explosions will lead naturally to a positive dispersion in He/H. The observed dispersions in He/H can be explained by chemical evolution models in which 0-95 percent of the newly synthesized oxygen is lost. It is concluded that in H II galaxies and giant H II regions PBA can be reliably determined only by fitting to the lower envelope of the O/H-He/H relation.