As a follow-up to the previous problem, the Morse oscillator for a different diatomic molecule has D = 384 kJ/mole and ħw = 1440 cm-¹. (Again, 11.9627 J/mole = 1 cm¯¹.) www (a) What is the energy of the pictured eigenfunction? Report the energy in cm¹ relative to the minimum in the potential well. (b) How close to the dissociation limit is this state in kJ/mole, that is, what is the energy difference between this state and molecular dissociation?

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A diatomic molecule is modeled as a Morse oscillator, and one finds that its energy level
differences decrease from E2 – E, = 2024.3 cm-1 to E, – E, = 1689.5 cm-1.
(a) Use this information and the quantum energy levels for the Morse oscillator to find the
quantity, hw, in cm-1 (wavenumbers).
(b) What is the dissociation energy, D (in kJ/mole) for this Morse oscillator?
(Note that the energy units, 11.9627 J/mole = 1 cm-1.)
%3D
As a follow-up to the previous problem, the Morse oscillator for a different diatomic
molecule has D = 384 kJ/mole and hw = 1440 cm1. (Again, 11.9627 J/mole = 1 cm1.)
(a) What is the energy of the pictured eigenfunction? Report the energy in cm-1 relative to
the minimum in the potential well.
(b) How close to the dissociation limit is this state in kJ/mole, that is, what is the energy
difference between this state and molecular dissociation?
Transcribed Image Text:A diatomic molecule is modeled as a Morse oscillator, and one finds that its energy level differences decrease from E2 – E, = 2024.3 cm-1 to E, – E, = 1689.5 cm-1. (a) Use this information and the quantum energy levels for the Morse oscillator to find the quantity, hw, in cm-1 (wavenumbers). (b) What is the dissociation energy, D (in kJ/mole) for this Morse oscillator? (Note that the energy units, 11.9627 J/mole = 1 cm-1.) %3D As a follow-up to the previous problem, the Morse oscillator for a different diatomic molecule has D = 384 kJ/mole and hw = 1440 cm1. (Again, 11.9627 J/mole = 1 cm1.) (a) What is the energy of the pictured eigenfunction? Report the energy in cm-1 relative to the minimum in the potential well. (b) How close to the dissociation limit is this state in kJ/mole, that is, what is the energy difference between this state and molecular dissociation?
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