3. (33.3 points) For two different molecules, which for the sake of this exercise we will refer to as molecule 1 and molecule 2 , the exciton hopping rate R12=2V2de1()a2() from molecule 1 to molecule 2 is proportional to the overlap of the emission spectrum of molecule 1 and the absorption spectrum of molecule 2 . In the other direction, the rate is proportional to the overlap of the emission spectrum of molecule 2 and the absorption spectrum of molecule 1 . R21=2V2de2()a1() Suppose that the normalized lineshapes are given by the semiclassical expressions described in problem 2 above, with the only difference between molecules 1 and molecules 2 being their HOMO-LUMO energy difference ; for molecule 1,1=1:8eV, while for molecule 2,2=2:0 eV. Perform the two overlap integrals and calculate the ratio of the "up-rate" R12 to the "down rate" Rz1 at room temperature