XeOF4 has one of the more interesting structures among noble gas compounds. On the basis of its symmetry,

a. Obtain a representation based on all the motions of the atoms in XeOF4.

b. Reduce this representation to its component irreducible representations.
c. Classify these representations, indicating which are for translational, rotational, and vibrational motion.

d. Determine the irreducible representation matching the xenon–oxygen stretching vibration. Is this vibration IR active?