513.001 Molecular and Solid State Physics

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Wolfram Alpha

Physical
Constants

Periodic System
of Elements

      

Point group notation

The international notation (also called Hermann–Mauguin notation) for point groups often specifies the generating matrices for the group. The point group 3 has a three-fold rotation symmetry. The point group 3 has a three-fold rotoinversion symmetry.

(a) Construct the generating matrix and the point group elements of 3.

(b) Explain why the point group 32 has two generating matrices, construct these two generating matrices.