3. Consider the molecule SO3 which has a D3h point group (see Chapter 3 lecture notes and section 3.7). a. Sketch SO3 in three dimensions and show your work to verify that SO3 which has a D3h point group, including sketches where you draw and label the important symmetry elements. b. Determine the total degrees of freedom and number of vibrational modes in SO3. c. Determine the reducible representations which describe all of the possible motions of the molecule. Include sketches and explanations to justify your assignments. d. Determine the irreducible representations which describe all of the possible motions of the molecule. e. Classify the motions (from part c) as translations, rotations, or vibrations. f. Given that SO(SO3) = A1' + E', identify any molecular deformations