The energy difference between two states in a hydrogen atom can be calculated using the Rydberg formula:
\[ \Delta E = \frac{{13.6 \, \text{{eV}}}}{{n_f^2}} - \frac{{13.6 \, \text{{eV}}}}{{n_i^2}} \]
where \( n_f \) is the final principal quantum number and \(
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