A hydrogen iodide molecule, HI, has a force constant of 314 N/m and a bond length of 160 ppm. Due to the large difference in mass between the H-atom and the I-atom, the mass to use in the expression for the vibrational frequency can in good approximation, be taken as the mass of the H-atom. For the same reason, the rotation of the molecule can be pictures as an orbital motion of the H-atom around a stationary I-atom.Calculate the zero-point energy associated with its rotation in three-dimensional space.