Nitrogenase is an enzyme that converts N2 to NH3. Extraction procedures have shown that nitrogenase contains an iron-sulfur cluster, Fe4S4, where the atoms of each type are arranged alternatively at the corners of a cube. We wish to attempt to model the bonding in this iron-sulfur cube with the wave functions derived for an electron in a cubical (3D) box whose edges have length a; i.e., the Fe-S distance is a. Construct an energy-level diagram showing the relative ordering of the lowest 11 'molecular orbitals' of this cube. Label the levels in terms of their quantum numbers.