Which formula or equation can relate photo-ionization cross section to photo-ionization rate?
Hello,
I don't know about relation of cross section to the rate, but there is a relation of the photoionisation probability to the rate. Perhaps you can derive from that what you need.
See Eq 5 in the attached paper
http://journals.aps.org/pra/abstract/10.1103/PhysRevA.59.569
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