Q69 · CSIR-NET Chemistry, June 2019

Paper: CSIR-NET June 2019 · Subject: Physical Chemistry · Chapter: Group Theory · Topic: Symmetry Elements Point Groups · Marks: 2 · Difficulty: Medium

The number of times $\mathrm{A}_{1}$ representation appears in the representation $\Gamma$ of the $\mathrm{C}_{2 \mathrm{v}}$ point group given below is
$\mathrm{C}_{\mathrm{2v}}$E$\mathrm{C}_{\mathrm{2}}$$\sigma_{v}$$\sigma_{v}{ }^{\prime}$
Г3113
(a)1
(b)2
(c)3
(d)4
Answer
Answer: B ✓ checked by 4AB · confidence high
Explanation
n(A₁) = (3 + 1 + 1 + 3)/4 = 2 (b).

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