identify the point group (with reasoning). fill in the characters for B_1 and B_

Question

identify the point group (with reasoning). fill in the characters for B_1 and B_3 symmetry labels (with reasoning, do not just copy/paste from the respective character table!). Determine the number and symmetry of IR and Raman-active C-O stretching modes for cis-M(CO)_4X_2. Using the result obtained in problem 3.30, explain how you can distinguish between two isomers using the C-O stretching region of IR- and Raman-spectra. Determine the number and symmetry of IR and Raman-active S-F stretching modes for SF^ molecule. Which stretching modes are IR active? How many peaks corresponding to the stretching modes will you see in IR-spectrum of SF_6? Which stretching modes are Raman active? How many peaks corresponding to

Explanation / Answer

3. An SF6 molecule belonging to the Oh point group has (3 7) 6=15 degrees of vibrational freedom. Only the T1u modes are IR active; this can be conrmed from the Oh character table. Since the S atom in SF6 lies on an inversion centre, the T1u modes are Raman inactive (by the rule of mutual exclusion). Of the T1u modes, one can be classied as a stretching mode (939 cm–1 for SF6) and one a deformation (614cm–1 for SF6).

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