
3
4. (27 pts.) Follow the steps below to derive the M.O. diagram for SH
4
.
a. (12 pts.) Show the symmetry adapted linear combinations (SALCs) of the hydrogen
orbitals that would overlap with the sulfur orbitals. Use the axes and atom labels shown.
Show both pictorial and mathematical forms. Give the correct symmetry labels for all
SALCs. Key Hint: The four hydrogens are not all symmetry equivalent.
H
3
+ H
4
H
3
- H
4
H
1
+ H
2
H
1
- H
2
a
1
b
2
a
1
b
1
S
H
1
H
2
H
3
H
4
x
y
b. (8 pts.) Draw the M.O. diagram. Show pictorial forms of all MOs. Use correct symmetry
labels. Specify the bonding, antibonding, and nonbonding orbitals.
S
H
3s (a
1
)
3p
a
1
antibonding
a
1
b
2
a
1
, b
1
, b
2
1a
1
1b
2
2a
1
4a
1
3a
1
b
1
1b
1
2b
2
2b
1
bonding
1a
1
2a
1
1b
2
1b
1
2b
1
2b
2
3a
1
4a
1
c. (4 pts.) Show the electron occupancy in your M.O. diagram. Is the molecule paramagnetic
or diamagnetic?
diamagnetic
d. (3 pts.) Briefly comment on what the MO diagram reveals about the average strength of the
S-H bonds. What is the approximate S-H bond order?
Four bonding and one antibonding orbitals are filled. Thus, the average bond order is 0.75
and the S–H bonds do not have full single-bond strength.
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