ABC26PH1042 · Group Theory
Subject: Physical Chemistry · Chapter: Group Theory · Topic: Reducible Representations · Exam: NET JUNE 2011 · Marks: 2 · Difficulty: Medium
Given the character table of the point group $\mathrm{C}_{3 \mathrm{V}}$ | E | $2 \mathrm{C}_{3}$ | $3 \sigma_{\mathrm{v}}$ |
|---|
| $\mathrm{A}_{1}$ | 1 | 1 | 1 | Z |
| $\mathrm{A}_{2}$ | 1 | 1 | -1 |
| E | 2 | -1 | 0 | (x,y) |
Consider the reducible representation, $\Gamma$ | E | $2 \mathrm{C}_{3}$ | $3 \sigma_{\mathrm{v}}$ |
|---|
| Г | 6 | 3 | 0 |
Its irreducible components are (a)$\mathrm{E}+2 \mathrm{A}_{1}+2 \mathrm{A}_{2}$
(b)$2 \mathrm{E}+\mathrm{A}_{1}+\mathrm{A}_{2}$
(c)$3 \mathrm{A}_{1}+3 \mathrm{A}_{2}$
(d)2E + 2A
Answer
Explanation
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