A benzene molecule (C6H6) consists of the ring of 6 carbon atoms each having pz orbitals perpendicular to the plane. By using 1-st nearest neighbor tight-binding model answer the following questions:
a. What are 6 eigen values and eigen vectors of the system?
b. Six electrons occupy these states in the neutral molecule. Including spin degeneracy, which states are occupied, assuming V<0, and what is the total electron energy of the system?