3. (a) Using x, y, z vectors of each atom in a SO2molecule to derive the...

3. (a) Using x, y, z vectors of each atom in a SO₂molecule to derive the reducible representation (assuming that the principle axis is collinear with the z axis and the molecule is lying on the xz plane).

(b) Classify the irreducible representations into translational, rotational, and vibrational modes.

(c) Which vibrational modes are infrared active.

(d) Sketch the three vibrational modes including the symmetric stretch, antisymmetric stretch, and symmetric bend.

(e) The calculated IR spectrum of SO₂show three peaks at 1362 cm^-1, 1151 cm^-1, and 518 cm^-1. Provide a symmetric label for each of these three peaks, provided that the two stretch modes occur at much higher wavenumbers than the bend mode andthat the antisymmetric stretch occurs at higher wavenumber than the symmetric stretch.

Expert Solution

queen_honey_blossom answered 10 months ago

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