solve part iii please, and show all work

2. We did not explicitly deal with d-orbital molecular systems in class but will do so here. In an atom, the d-orbitals are dz2(l=0);dzxdzy(l=1);dxydx2y2(l=2). The transition metals have d-orbitals and form homonuclear diatomic molecules. For example, the dz2 orbitals combine to form a bond. l=0ml=0=21(dz2(1)dz2(2)) and the dzx,dzy orbitals to form -bonds =1ml=1dzxdzy=21(dzx(1)dzx(2))=21(dzy(1)dzy(2)) with similar orbitals form bonds from l=2. i. Draw the MO level diagram for a homonuclear diatomic with bonding from d-orbitals on each atom. Include the anti-bonding orbitals and label each level. ii. Using the inversion operator , determine the g or u symmetries for the , and orbitals. (Hint: it is easiest to do this using the visual forms of the orbitals we determined in class and shown in Fig 8A.15 in the text) Obtain these symmetries for both the +and orbitals for , and . ^=1+gu iii. Use the reflection operator d^ through the center point of the bond perpendicular to the internuclear axis to determine which of the orbitals are bonding and which are anti-bonding: ^=1+bondinganti-bonding add the labels from ii) and iii) to the MO level diagram in i). iv. Now consider the titanium atom with electron configuration KL(3s)2(3d)2. Fill in the MO diagram (you did this in part i above) for (Ti)2. a. Determine the term symbols for this ground state configuration and order them according to Hund's rules. b. An excited state of (Ti)2 has the configuration (dz2)2()1()1. Determine the term symbols and order them according to Hund's rules. c. Write total wave functions that obey the Pauli principle for the states determined in part A above (TOT=spacesspin)