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Molecular vibrations are one of the ways in which a molecule stores chemical energy. For a diatomic molecule, the vibrational can be approximated by the quantum harmonic oscillator. The vibrational energy Ev is Ev = (v + 1/2)hv0 where v is an integer representing vibrational quantum numbers such that v = 0,1,2,3,..., where v=0 for a diatomic molecule at the ground vibrational state; h is Planck's constant; and v0 is the natural frequency of the harmonic oscillator.


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The vibrational energy of a diatomic molecule can be approximated by extension of the quantum harmonic oscillator. The vibrational energy, Ev, is then Ev = (v + 1/2)hv0 where v is an integer representing vibrational quantum numbers such that v = 0,1,2,3,..., where v=0 for a diatomic molecule at the ground vibrational state; h is Planck's constant; and v0 is the fundamental vibrational frequency. For this problem then, you would need the fundamental vibrational frequency of the particular diatomic atom, and then simply calculate Ev for v=1, and v=2.


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