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Problem Set 2
Chemistry 173a/268a
Fall 2009
Due: Oct 26, 2009
1. (8 points) Determine the Mulliken symbols for the following orbitals in the given point group.
a) D
2h
(principal axis coming out of the page)
b) D
2h
c) D
4h
d) D
3h
2. (4 points) Using a suitable example show that the symmetry operations (a) inversion and S
2
improper
rotation are equivalent and (b) reflection through a plane and S
1
improper rotation are equivalent.
3. (5 points) Determine which irreducible representations are contained within the following reducible
representation (in C
4v
symmetry).
C
4v
E
C
4
C
2
σ
v
σ
d
Γ
RR
9
3
1
1
1
4. (6 points) (a) Given the set of operations {E, C
4
,
σ
h
}, determine the other operations that must be present
to form a complete point group. [Hint: Consider all of the products of the given elements with themselves
and each other.]
(b) (2 points) Identify the point group for the complete set of operations.
(c) (1 point)
What is the order of the point group?
5. (7 points) Draw the Lewis dot structures for the following molecules: (a) ClF
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This note was uploaded on 01/09/2011 for the course CHEM 173A taught by Professor Unknown during the Spring '08 term at UCSB.
 Spring '08
 unknown
 Chemistry

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