Harmonic Oscillator vij=(hmv)1/4e2hmvx2wherev=2=21(mk)1/2 6. The HCl diatomic molecule consists of one chlorine atom and one hydrogen atom. Because the chlorine atom is 35 times more massive than the hydrogen atom, the vibrations of the HCl molecule can be quite well approximated by assuming that the Cl atom is motionless and the H-atom performs harmonic oscillations due to an elastic molecular force modeled by Hooke's law. The infrared vibrational spectrum measured for hydrogen chloride has the lowest-frequency line centered at 8.8810Hz a. What is the spacing between the vibrational energies of this molecule? b. What is the force constant k of the atomic bond in the HCl molecule? c. Compare your result to the table below and explain the result in terms of bond strength and atomic structure