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I think both are the same (i.e. an electron is removed from the atom). I know ionization energy is with regards to gases, and threshold energy was associated with the photoelectric effect on a solid metal. Concepts seems pretty similar to me though.
Like Alex said, the threshold energy is associated with the amount of energy required to remove an electron from a solid (via the photoelectric effect). As specified in the course reader, ionization energy refers to the amount of energy needed to remove an electron from an atom in its gaseous phase. I believe it is the phases that distinguishes the terminology, because additional energies get involved in removing an electron from a liquid/solid phase element compared to an element in the gaseous phase.
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