(i) Generate the reducible representation for all modes of motion for B(OH)3. [C3h]
(ii) Reduce the representation.
(iii) Identify the vibrational modes, and of these identify which are IR active and which are Raman active.

1. (a) The following reducible representation (T) corresponds to the molecular motions of a molecule belonging to the Da point group. Reduce I to its combination of irreducible representations. 3 C2 -1 2 C3 (b) Identify the translational modes: ldentify the rotational modes: Determine the vibrational modes: (c) Which of these vibrational modes will be IR-active? Which of these vibrational modes will be Raman-active?

1 6 02 2 2 r2 6 4 6 2 0 2 3