## White Dwarf Degeneracy
The graph shows the electron occupation index F(E), as a function of the energy in terms of multiples of the (Fermi Energy - rest mass energy), ie. the kinetic energy corresponding to the Fermi Energy. The sliders control the parameters which influence the degree of degeneracy and whether the degeneracy is relativistic - namely: density (ρ, kg/m^3) and temperature (T, in Kelvin) in logarithmic units (i.e. 7 is equivalent to 10^7) and finally the "mean mass per electron" μ_e in atomic mass units. This parameter is 1 for a pure ionised Hydrogen gas and 2 for ionised gases of Carbon or Oxygen. (e.g. for carbon there are 12 mass units and 6 electrons). The degeneracy parameter ((Ef-mc^2)/kT) is shown along with the Fermi energy and the relativity parameter (pf/mc).
The plots are only valid for a degeneracy parameter quite a bit bigger than 1 and use the "Sommerfeld Expansion" to evaluate the chemical potential α . Rob Jeffries, Created with GeoGebra |