If a diatomic quantum mechanical vibrator in its ground state has energy E, what is its energy in its second state above the ground state?

Question

Quizplus · Accepted Answer

The energy of a diatomic quantum mechanical vibrator in its nth state is given by En = (n + 1/2)hν, where h is Planck's constant and ν is the vibrational frequency. Therefore, the energy of the vibrator in its second state above the ground state is E2 = (2 + 1/2)hν = 5E/2.

If a Diatomic Quantum Mechanical Vibrator in Its Ground State