The energy difference \( \Delta E \) between two levels \( n_i \) and \( n_f \) is given by the Rydberg formula:
\[ \Delta E = -13.6 \, \text{eV} \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right) \]
where \( n_i \) is the initial energy level and \( n_f \) is the
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