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What is the difference between using J and l for quantum numbers? I have some lecture notes that aren't fully explained. It was talking about rotational transitions for diatomic molecules, and said the energy of a photon going from level J to level J-1 is [tex]\frac{Jh^2}{4\pi^2\mu(r^2)}[/tex]. Now, I remember from my quantum module last year, that [tex]E_{rot}=\frac{L^2}{2I}=\frac{l(l+1)h^2}{8\pi^2\mu(r^2)}[/tex]. I can see the resemblance between the two equations, but I just can't figure out the link between J and l!

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# Quantum Numbers

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