94 Angstroms is Fe XVIII (Fe +17). It's one of the lines observed by the
AIA instrument on
SDO (download the
SDO system overview PDF and you will find it there). It probes a temperature of 10
6.8 (that's 6,310,000) Kelvins, according to the AIA system overview document. The energy of a 94A photon is just
Planck's constant * speed of light /wavelength (
hc/l) and that's 131.9 eV. if I just express that energy in temperature units (
Energy = Boltzmann's constant * temperature or
E = kT) I get 1,530,000 Kelvins. So it's clear that if you want that Fe XVIII to "cool off and the re-excite" you need an environment in excess of 1,000,000 Kelvins to pull it off, either in radiation temperature or in electron temperature, take your pick.
The ionization enthalpy for Fe +17 is 122,200 kilo Joules (1.222x10
8 J) per mole (kJ/mol;
Webelements Iron). One mole of iron, in isotopic abundance as found on Earth, weighs in at 55.847 grams. Let's just do a quick estimate and multiply the surface area of the sun (6.087x10
22 cm
2;
Allen's Astrophysical Quantities, 4th edition 2000) by 1 km (10
5 cm) and assume a layer of Fe XVIII one kilometer thick. I will use the same mass density I gave Sol Invictus, 10
-7 gm/cm
3. So do the "math" (
arithmetic really) and you get 6.087x10
20 gm of Fe XVIII, if we follow the usual Mozina recipe and assume that all of the iron is ionized to the highest state. That's 1.09x10
19 moles, which requires 1.33x10
27 Joules of energy to ionize to the desired state.
The total luminosity of the sun is 3.845x10
26[/sup ]Watts, where 1 Watt = 1 Joule/second. So the total energy required to ionize all of the iron in a layer of pure iron 1 km thick, at the "surface" of the sun, to Fe XVIII is about a factor of 3.4 greater than the total radiant energy coming from the sun in 1 second. But of course, it's not just a matter of "ionize the iron and we're done". Remember ... cool off and then is re-excited ... We don't just have to ionize the iron to Fe XVIII, we then have to keep it there. And that is going to require, every single second, at least 3.4 times the total energy emitted by the sun as radiant energy. That's just the iron, and that's just a 1 km layer. Make that a 100 km layer and you need 100 times the energy. So as you can see, we have quite an energy budget to balance out here. All that energy has to come from somewhere. It does not make any physical sense to me.