4.4: Unit 4 Practice Problems
Exercise 1
Can the following matrices be multiplied and if so what is the product matrix?
a)
b)
c)
d)
- Answer
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a)
b)
c)
d)
Exercise 2
Determine the irreducible representations for the following orbitals in the point group D 2h .
The z axis is defined as the axis of the principal C 2 axis. C 2 ’ is defined as the axis rotating around y. σ v is defined as the xz plane.
- Answer
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Exercise 3
Determine the matrix representations of the symmetry elements of the following point groups:
a) D 2
Define principal C 2 axis as the axis running along z. C 2 ’ runs along x.
b) C 3
If we define the principal C 3 axis running along the z axis:
- Answer
-
a)
b)
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