Question- Consider a "normal" carbon monoxide molecule (^12C^16O) in its ground electronic level and having the rotational quantum number J = 20 and the vibrational quantum number v =5 . Use the rigid rotor and harmonic oscillator models for description of the molecular rotation and vibrations, respectively. find:

a) The rotational and vibrational energies of the molecule

b) Rotational and vibrational statistical weights of the molecule.

The spectroscope constants of the molecule are omega_e = 2170 cm^-1 and B_e = 1.93 cm ^-1

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