Answer: The hydrogen iodide (HI) molecule has equilibrium

Chapter 42, Problem 42.45

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The hydrogen iodide (HI) molecule has equilibrium separation 0.160 nm and vibrational frequency \(6.93 \times 10^{13} \mathrm{\ Hz}\). The mass of a hydrogen atom is \(1.67 \times 10^{-27} \mathrm{\ kg}\), and the mass of an iodine atom is \(2.11 \times 10^{-25} \mathrm{\ kg}\). (a) Calculate the moment of inertia of HI about a perpendicular axis through its center of mass. (b) Calculate the wavelength of the photon emitted in each of the following vibration rotation transitions: (i) n = 1, l = 1 S n = 0, l = 0; (ii) n = 1, l = 2 S n = 0, l = 1; (iii) n = 2, l = 2 S n = 1, l = 3.