8. (8 pts.) Ax electron in a linear polyene may be considered a free particle in a one-dimensional box. Hexatriene contains 6 conjugated C atoms and 6 # electrons. To excite this molecule electronically, an electron must be promoted from the n = 3 level to the n = 4 level. Given that the difference in energy between these two levels is 5.6 x 10-9J, determine the following: a.) the frequency of a photon capable causing the electronic transition. SHOW WORK! b.) the length (in m) of a hexatriene molecule. SHOW WORK