But the ionization doesn't have much to do with the temperature, since the hydrogen is being ionized by the photons over 13.6, not collisionally. Doesn't the temperature come from the excess energy (over 13.6) from the photons?
I'm trying to use Osterbrock's book "Astrophysics of Gaseous Nebulae and Active Galacic Nuclei" to made a model of a pure Hydrogen HII region. I've got the ionization structure down, but I'm having trouble with the temperature. Can anyone recommend somewhere that shows what I should be getting?
This is just part of a larger problem, but I have a basic equation r'=k-g*r, where k and a start out as constants, but then I need to treat everything as if it can vary slightly from the average. For this, I set r=r_ave+dr, g=g_ave+dg, and k=k_ave+dk. Now I need to work these into the first...
If the star ionizing an HII region suddenly doubled the radiation emitted, would that increase or decrease the temperature? I feel like the expansion of the region would cancel out the increased energy, but I don't know.