Rotational Spectroscopy

1. Calculate the moment of inertia of CO₂ in kg-m2 if the CO bond distance is .121 nm. Include the units in your answer.

2. Given that the energy states for rotational energy are EJ = B(J)(J+1).

a) Show the energy level diagram for absorption.

b) Show the resulting spectrum in units of B.

c) Show that the spacing between absorption lines is 2B.

3. Calculate the moment of inertia of HCCH in kg-m2 if the CH and CC bond distances are both 0.11 nm. Explain your calculations and include the units in your answer.

4. a) The spacing between lines in the rotational spectrum of DCl is 10.5 /cm. What is the calculated bond distance in this molecule from this data. b) What would you predict the rotational spacing for HCl to be based on this data. Explain.