Use your answer from Q19.18 to compare the force constants for compression and stretching at the classical turning points for the levels shown in Q19.16. What trend do you see as n increases?
Reference 19.18
For a harmonic potential, the vibrational force constant (a) is independent of the quantum number n and (b) independent of x–xe for the molecule. Do you expect the same behavior for a Morse potential?
Reference 19.16
The square of a number of vibrational energy eigenfunctions are shown superimposed on a Morse potential in the following figure. Assign quantum numbers to the levels shown. Explain the differences in the shape of the eigenfunctions compared to those for a harmonic potential.
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