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The wavenumber of the incident radiation in a Raman spectrometer is 20 623 cm−1. What is...

The wavenumber of the incident radiation in a Raman spectrometer is 20 623 cm−1. What is the wavenumber of the scattered Stokes radiation for the J = 4 ← 2 transition of 16O2?

(I solved for delta E = E(j=4) - E(j=2) and then used delta E = h*v and wavenumber = v/c .. but I think I messed up something because I got an extremely small wavenumber. Could you possibly follow this format?)

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