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Before the quantum theory, experimentalists noted that in many cases, they would find three lines in...

Before the quantum theory, experimentalists noted that in many cases, they would find three lines in the spectrum of the same atom that satisfied the following mysterious rule: 1/ 1 = 1/ 2 + 1/ 3. Explain why this would occur. Do not use reasoning that only works for hydrogen — such combinations occur in the spectra of all elements. [Hint: Restate the equation in terms of the energies of photons.]

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