c) Let's think about this. To a first approximation, a diatomic molecule can be represented by a harmonic oscillator. However, we learned that the Morse oscillator provides a better representation of a diatomic molecule. The figure below shows the harmonic and Morse potential energy curves for a diatomic molecule, along with corresponding vibrational wavefunctions. How do you expect the average bond length of a diatomic molecule would change if the molecule transitions from the ground to any of the excited vibrational levels when: 1) the molecule is represented by the harmonic potential, and 2) the molecule is represented by the Morse potential? Explain your reasoning. Harmonic potential Morse potential V4 Va VI Vo Run Re

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c) Let's think about this. To a first approximation, a diatomic molecule can be represented by a
harmonic oscillator. However, we learned that the Morse oscillator provides a better representation
of a diatomic molecule. The figure below shows the harmonic and Morse potential energy curves
for a diatomic molecule, along with corresponding vibrational wavefunctions. How do you expect
the average bond length of a diatomic molecule would change if the molecule transitions from the
ground to any of the excited vibrational levels when: 1) the molecule is represented by the harmonic
potential, and 2) the molecule is represented by the Morse potential?
Explain your reasoning.
Harmonic potential
Morse potential
Vs
V4
Vs
V1
Vo
vo
Reg
Reg
Transcribed Image Text:c) Let's think about this. To a first approximation, a diatomic molecule can be represented by a harmonic oscillator. However, we learned that the Morse oscillator provides a better representation of a diatomic molecule. The figure below shows the harmonic and Morse potential energy curves for a diatomic molecule, along with corresponding vibrational wavefunctions. How do you expect the average bond length of a diatomic molecule would change if the molecule transitions from the ground to any of the excited vibrational levels when: 1) the molecule is represented by the harmonic potential, and 2) the molecule is represented by the Morse potential? Explain your reasoning. Harmonic potential Morse potential Vs V4 Vs V1 Vo vo Reg Reg
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