Q28 · CSIR NET Chemistry, December 2014
Paper: CSIR NET December 2014 · Subject: Physical Chemistry · Chapter: Group Theory · Topic: Symmetry Elements Point Groups · Marks: 2 · Difficulty: Medium
The product $\sigma^{xy} \cdot S_4^{z}$ ($S_4^{z}$ is the four fold improper axis of rotation around the $z$-axis, and $\sigma^{xy}$ is the reflection in the $xy$ plane) is
(a)$C_4^{z}$
(b)$C_4^{z} \cdot i$
(c)$C_{4}^{y}$
(d)$C_{2}^{z}$
Answer
Answer: A ✓ checked by 4AB · confidence high
Explanation
S₄ = σ_h C₄, so σ_xy · S₄ = σ_h σ_h C₄ = C₄(z) (a).
Study loop for Group Theory