Need a formula for Ionization HELP

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    Formula Ionization
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To determine the greatest wavelength of radiation that can ionize an unexcited hydrogen atom, one must consider the relationship between photon energy and wavelength. The longest wavelength corresponds to the lowest photon energy, which must equal or exceed the ground state energy of hydrogen. While multiphoton processes could theoretically allow for longer wavelengths, they typically involve intermediate excited states with very short lifetimes. Therefore, the focus should remain on the direct ionization from the ground state. A clear formula relating energy and wavelength is essential for accurate calculations.
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Need a formula for Ionization HELP!

What is the greatest wavelength of radiation that will ionize an unexcited Hydrogen atom?

If someone could give me a fomula to work with I'd be EVER so greatful! I've been working on this for HOURS.
 
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The longest wavelength corresponds to the lowest photon energy which would have to be at least equal to the ground state energy of a hydrogen atom. It's possible (I haven't checked) that longer wavelengths could accomplish this as a multiphoton process using intermediate excited states but those states usually have VERY short lifetimes.
 

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