ABC26PH1069 · Group Theory
Subject: Physical Chemistry · Chapter: Group Theory · Topic: Character Tables · Exam: NET DEC 2011 · Marks: 2 · Difficulty: Hard
The character table for the $\mathrm{D_4}$ point group is provided below: | $\mathrm{D_3}$ | E | $2\mathrm{C_3}$ | 3C |
|---|
| $\mathrm{A_1}$ | 1 | 1 | 1 | $x^2+y^2, z^2$ |
| $\mathrm{A_2}$ | 1 | 1 | -1 | $z, R_z$ |
| E | 2 | -1 | 0 | $(x,y),(R_x,R_y)$ | $(x^2-y^2, xy),(xz,yz)$ |
(a)it is possible to have a totally symmetric normal mode of vibration which is IR-active
(b)all IR-active normal modes are necessarily Raman inactive
(c)all Raman-active normal modes are necessarily IR-active
(d)it is possible to have a pair of IR-active normal modes that are degenerate.
Answer
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