4.4: Unit 4 Practice Problems

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Exercise 1

Can the following matrices be multiplied and if so what is the product matrix?

Answer

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 C₂ axis. C₂’ is defined as the axis rotating around y. σ_v is defined as the xz plane.

Answer

Exercise 3

Determine the matrix representations of the symmetry elements of the following point groups:

a) D₂

Define principal C₂ axis as the axis running along z. C₂^’ runs along x.

b) C₃

If we define the principal C₃ axis running along the z axis:

Answer

Dr. Kai Landskron (Lehigh University). If you like this textbook, please consider to make a donation to support the author's research at Lehigh University: Click Here to Donate.

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