Paper: CSIR-NET June 2012 · Subject: Physical Chemistry · Chapter: Group Theory · Topic: Character Tables · Marks: 2 · Difficulty: Medium
Character table of $\mathrm{C}_{2 \mathrm{V}}$ point group is:
$\mathrm{C}_{2}$,
E
$\mathrm{C}_{2}$
$\sigma$,
$\sigma_{v}$
$\mathrm{A}_{1}$
1
1
1
1
z
$\mathrm{A}_{2}$
1
1
-1
-1
1
$\mathrm{B}_{1}$
1
-1
1
-1
x
$\mathrm{B}_{2}$
1
-1
-1
1
y
If the initial and final states belong to $\mathrm{A}_{1}$ and $\mathrm{B}_{1}$ irreducible representation respectively, the allowed electronic transition from $\mathrm{A}_{1}$ to $\mathrm{B}_{1}$ is:
(a)z-polarized
(b)y-polarized
(c)x-polarized
(d)x, z-polarized
Answer
Answer: C ✓ checked by 4AB · confidence high
Explanation
The transition is allowed if A₁ × Γ(μ) × B₁ contains A₁, i.e. Γ(μ) = B₁, which is x in C₂v: x-polarised.