vice.imf.kroupa¶

The (unnormalized) Kroupa (2001) [1] stellar initial mass function (IMF).

Signature: vice.imf.kroupa(mass)

New in version 1.1.0.

Parameters¶

massreal number: The stellar mass in solar masses.

Returns¶

dndmreal number

The unnormalized value of the Kroupa IMF at that stellar mass, defined by:

\[\frac{dN}{dm} \propto m^{-\alpha}\]

where \(\alpha\) = 2.3, 1.3, and 0.3 for \(m\) > 0.5, 0.08 \(\leq m \leq\) 0.5, and \(m\) < 0.08, respectively.

Raises¶

TypeError
- mass is not a real number
ValueError
- mass is non-positive

Example Code¶

>>> vice.imf.kroupa(1)
        0.04
>>> vice.imf.kroupa(0.5)
        0.1969831061351866
>>> vice.imf.kroupa(2)
        0.008122523963562356