Symmetry operations of the four C₂ axes perpendicular to the principle axis belong to the same class in the… · ABC26PH0464

Subject: Physical Chemistry · Chapter: Group Theory · Topic: Symmetry Elements Point Groups · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

Symmetry operations of the four $\mathrm{C}_{2}$ axes perpendicular to the principle axis belong to the same class in the point group (s)

(a)$\mathrm{D}_{4}$

(b)$\mathrm{D}_{4 \mathrm{d}}$

(c)$\mathrm{D}_{4 \mathrm{h}}$

(d)$\mathrm{D}_{4 \mathrm{h}}$ and $\mathrm{D}_{4 \mathrm{d}}$

Answer

Answer: B ✓ checked by 4AB · confidence high

Explanation

In D₄ and D₄h the four C₂ split into C₂′ and C₂″ classes; in D₄d all four perpendicular C₂ form one class (b).

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