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C4v E 2C4 C2 2sigmav 2sigmad A1 1 1 1 1 1 z A2 1 1...

C4v E 2C4 C2 2sigmav 2sigmad

A1 1 1 1 1 1 z

A2 1 1 1 -1 -1 Rz

B1 1 -1 1 1 -1

B2 1 -1 1 -1 1

E 2 0 -2 0 0 (x,y) (Rx, Ry)

The C4v character table is given above. Prove that the following combinations of irreps are orthogonal.

a) B2 E b) A2 B1 c) A1 B2

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