Question

Analysis of the x, y, and z coordinates of each atom in TeCl6 reduces to the following representation in the Oh point group: Γ = 3T1u + T1g + A1g + Eg + T2g + T2u

(a) How many total degrees of freedom are there in TeCl6?

(b) How many total vibrations are expected from this molecule?

(c) Identify the irrep(s) of the translations.

(d) Identify the irrep(s) of the rotations.

(e) Identify the irrep(s) of the vibrations.

(f) What are the irrep(s) of the IR active vibrations?

(g) How many distinct IR lines should be observed experimentally?

(h) What are the irreps of the Raman active vibrations?

(i) How many distinct Raman lines should be observed experimentally?

(j) Are any of the IR and Raman lines coincident? If so, which ones?

(k) Does this molecule obey the rule of mutual exclusion? Briefly explain why or why not?

Answer 1