Q33 · CSIR-NET Chemistry, June 2015

Paper: CSIR-NET June 2015 · Subject: Physical Chemistry · Chapter: Group Theory · Topic: Group Theory – General · Marks: 2 · Difficulty: Medium

The product $C_{2}^{x} \cdot \sigma_{xy}$ ( $C_{2}^{x}$ is the two-fold rotation axis around the $x$-axis and $\sigma_{xy}$ is the xy mirror plane) is
(a)$\sigma_{xz}$
(b)$\sigma_{yz}$
(c)$C_{2}^{y}$
(d)$C_2^{z}$
Answer
Answer: A ✓ checked by 4AB · confidence high
Explanation
C₂(x)·σ(xy): (x, y, z) → (x, −y, z), which is reflection in the xz plane (a).

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