The stellar initial mass function

Physics

Scientific paper

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Mass Distribution, Stellar Evolution, Stellar Mass, Chronology, Galaxies, Mass To Light Ratios, Metallicity, Star Clusters, Stellar Luminosity, Stellar Spectra

Scientific paper

The existing observational database on the stellar mass distribution is reviewed as the basis for defining a new estimate of the field star mass function and its sources of error. A valid initial mass function (IMF) is desirable in order to gain the capability of tracking the chemical evolution and abundances of stars and galaxies. Several parameterized versions of the IMF are discussed and illustrated with examples. The field star IMF is introduced for estimating the stellar mass function by determining the frequency distribution of luminosities for field stars in the solar neighborhood. The distribution is converted into a distribution of masses by means of a mass-luminosity relation and corrected for stars that have died over the history of the galactic disk. The results are applied to the solar neighborhood, compared with calculations using other models, and then extended to calculating IMFs for star clusters, nearby galaxies, and chemical distributions within galaxies.

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