A particle in a box model can be applied in a simplistic manner to the consideration of mobile pi electrons in a conjugated system consider vitamin A2 with 12 pi electrons. If these electrons fill the first 6 pi particle in a box energy levels by pairing spin up/ spin down then the absorption of a photon of light can occur from n=6 to the vacant n=7 level. If we consider the box containing the pi electrons to have infinite potentenian beyond the ~1210 pm length of the conjugated chain and zero potential inside: a. what are the energies of the n=1-7 levels? b. what is the energy difference between n=6 and n=7? c. what does this very approximate calculation compare with experimental values?