Using the coordinate system of Figure 15.12, for B6H6 2-, do the following: a. Show...

Using the coordinate system of Figure 15.12, for B₆H₆ ^2-, do the following:

a. Show that the p_z orbitals of the borons collectively have the same symmetry as the s orbitals (generate a representation based on the six p_z orbitals of the borons, and do the same for the six s orbitals).

b. Show that these representations reduce to A_1g + E_g + T_1u.

c. Show that the p_x and p_y orbitals of the borons form molecular orbitals of T_2g and T_1u symmetry.