Chemistry · Group Theory
The character table for the C 2v point group is given below: C 2v E C 2 σ v (xz) σ v '(yz) A 1 1 1 1 1 A 2 1 1 -1 -1 B 1 1 -1 1 -1 B 2 1 -1 -1 1 There are two functions f 1 and f 2 belonging to A 2 and B 1 representations, respectively. The correct option for the symmetry of the product function f 1 f 2 and the value of the integral ∫ f 1 f 2 dτ is:
- 1The product belongs to B 1 representation and the integral is non-zero.
- 2The product belongs to A 1 representation and the integral is zero.
- 3The product belongs to B 2 representation and the integral is zero.✓
- 4The product belongs to A 2 representation and the integral is non-zero.
Correct answer
The product belongs to B 2 representation and the integral is zero.
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