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It can only be calculated easily for a one-electron atom or ion (for instance H, He+, Li2+, etc.). For a one electron atom, it is quite easy to calculate. If the electron is starting at n = 1 and going to n =3, then energy will be absorbed by the atom. If it is the opposite, starting at n = 3 and going to n = 1, then energy will be released.

The equation is called the Rydberg Formula:

E = RH * Z2 * (1/ni2 - 1/nf2)

where E is the energy
RH is the Rydberg constant = 13.6 eV
Z is the charge of the nucleus (# of protons)
ni is the initial level of the electon
nf is the final level of the electron

See the Web Links for more information about the Rydberg formula.

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