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Prove that the frequency of a photon emitted by an atom in a transition between two energy levels is given by the Rydberg formula: f

Prove that the frequency of a photon emitted by an atom in a transition between two energy levels is given by the Rydberg formula: f = R*(1/(nf^2) - 1/(ni^2)) where R is the Rydberg constant, nf and ni are the final and initial energy levels, respectively.

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