Question

Draw (by hand) the energy profile for an anharmonic oscillator. Indicate the energy for the first three vibrational levels. Explain allowed and forbidden transitions.

Answer 1

I'm guessing they want me to draw this for v = 0, v = 1, and v = 2? and the corresponding energies for these three states?

Answer 2

and for the last part of the question, allowed vs forbidden transitions, I'm thinking they want me to talk about selection rules? like deltav = +/-1?