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Luminosity Function

(function giving number of stars or galaxies at different luminosities)

A Luminosity Function is an empirical unnormalized Probability Density Function that yields the number of stars or galaxies at each given Luminosity.

A common form is the Schechter Luminosity Function for galaxies (aka Schechter Function, an example of a Galaxy Luminosity Function), a "modified" Power Law providing a format for such functions:

n(x)dx = ΦSunxae-xdx
  • x - L/LSun (luminosity in solar luminosities).
  • ΦSun - a factor to normalize the Number Density, chosen to match observation, in units of h3/Mpc3 (parameter).
  • a - a power, chosen to match observation (parameter).
  • h - normalized Hubble Constant.

Some typical values of the plug-in parameters:

  • a = -1.25
  • ΦSun = 1.2 × 10-3

Other variations of luminosity functions are Globular Cluster Luminosity Functions, Galaxy Cluster luminosity functions, and luminosity functions of particular Bands, or lines, or the lines of a specific molecule (e.g., Carbon Monoxide).

Luminosity functions also are assumed to evolve, e.g., to vary with Redshift.


Referenced by:
Conditional Luminosity Function (CLF)
Initial Mass Function (IMF)
Luminosity Density
Planetary Nebula Luminosity Function (PNLF)