A diatomic molecule has vibration energy levels ϵ_n=(n + 1/2) ℏ ω where n=0,1,2,... , and rotation energy levels ϵ_l=l(l + 1) ℏ^2 /2I
a) Calculate the bond length of the molecule
b) Determine the rotational constant
c) Identify the vibrational frequency
d) Measure the moment of inertia