Paper: CSIR-NET December 2017 · Subject: Physical Chemistry · Chapter: Group Theory · Topic: Symmetry Elements Point Groups · Marks: 2 · Difficulty: Medium
| $D_{2h}$ | E | $C_2(z)$ | $C_2(y)$ | $C_2(x)$ | i | $\sigma(xy)$ | $\sigma(xz)$ |
|---|---|---|---|---|---|---|---|
| $A_g$ | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| $B_{1g}$ | 1 | 1 | -1 | -1 | 1 | 1 | -1 |
| $B_{2g}$ | 1 | -1 | 1 | -1 | 1 | -1 | 1 |
| $B_{3g}$ | 1 | -1 | -1 | 1 | 1 | -1 | -1 |
| $A_u$ | 1 | 1 | 1 | 1 | -1 | -1 | -1 |
| $B_{1u}$ | 1 | 1 | -1 | -1 | -1 | -1 | 1 |
| $B_{2u}$ | 1 | -1 | 1 | -1 | -1 | 1 | -1 |
| $B_{3u}$ | 1 | -1 | -1 | 1 | -1 | 1 | 1 |
The source book printed no answer; this one was worked out and checked — see the explanation.
Study loop for Group Theory