To determine the symmetry of the normal modes of methane, an analysis of the transformation of individual coordinate systems on the five atoms is carried out, as shown in Figure 27.10 for H₂O. After the rotational and translational representations are removed, the following reducible representation χ reducible is obtained for the vibrational modes:

Using the character table for the T_d group, verify that Γ _reducible = A₁ + E + 2T₂.

Transcribed Image Text:

8C3 6C4 ЗС, б0а 3 -1