A benzene molecule (C6H6) consists of the ring of 6 carbon atoms each having pz orbitals perpendicular to the plane.

A benzene molecule (C6H6) consists of the ring of 6 carbon atoms each having pzorbitals perpendicular to the plane. By using 1‐st nearest neighbor tight‐bindingmodel answer the following questions:a. What are 6 eigenvalues and eigenvectors of the system?b. Six electrons occupy these states in the neutral molecule. Including spindegeneracy, which states are occupied, assuming V<0, and what is thetotal electron energy of the system?