4. Consider water, H2O which has a C2v point group (see Chapter 3 lecture notes and additional information related to Chapter 3). a. Draw a sketch of water including labels of the key symmetry elements and determine the number of total degrees of freedom in water. b. Determine the reducible representations which describe all possible motions of the molecule, explaining your logic and including sketches to justify your values. c. Determine the irreducible representations which describe all possible motions of the molecule. d. Classify the motions (from part c) as translations, rotations, or vibrations. e. Determine which motions (from part c) are IR and/or Raman active. f. Given that OH(H2O) = A1 + B1, identify any molecular deformations