Consider an enzyme containing an iron-sulfur cluster (very common amongmetalloenzymes), where the atoms of each type are arranged at the corners of a cube. letus model an electron within this complex molecular system with a much simpler model, corresponding to a particle in a 3-dimensional cubic box whose edges have length a. a) write the hamiltonian for the electron in that boxb) write general expressions for the wavefunctions and energies for this system as afunction of the three quantum numbersc) construct the energy level diagram corresponding to the lowest 11