Q64 · CSIR NET Chemistry, December 2017
Paper: CSIR NET December 2017 · Subject: Physical Chemistry · Chapter: Group Theory · Topic: Character Tables · Marks: 2 · Difficulty: Medium
For a point group, an incomplete character table is given below with one irreducible representation missing
The Mulliken symbol and characters of the missing representation are
| E | $2\mathrm{C_3}$ | $3\sigma$ | |
|---|---|---|---|
| $\mathrm{A_1}$ | 1 | 1 | 1 |
| — | — | — | — |
| E | 2 | -1 | 0 |
(a)$\mathrm{A}^{\prime}{ }_{1}\quad 1\quad -1\quad 1$
(b)$\mathrm{B}_{1}\quad -1\quad 1\quad -1$
(c)$\mathrm{A}_{2}\quad 1\quad 1\quad -1$
(d)$\mathrm{B}_{2}\quad 1\quad -1\quad 1$
Answer
Answer: C ✓ checked by 4AB · confidence high
Explanation
The table is C₃v, so the missing irreducible representation is A₂ with characters 1, 1, −1 (c).
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