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Continuation of the previous problem
The vibrational energy levels of a diatomic molecule can be written (in wavenumbers) as
2
8, = 0 (0 - 1) - 3,5 (1 + ²)²
E
+
n
1024.3 cm-1 (sometimes written w) and the anharmonic coefficient is
Suppose that the harmonic frequency is
particular diatomic molecule.
(b) How many vibrational bound states would you estimate are present in this diatomic molecule (Note: Don't forget to count the n = 0
state.)?
e
=
e e
=
16.7 cm-1 for a

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The vibrational energy levels of a diatomic molecule can be written (in wavenumbers) as 12 E ;, = 0 ,( ~ + ² ) - 8,0, (~ + 4 ) ² n n e e (sometimes written w) and the anharmonic coefficient is Suppose that the harmonic frequency is particular diatomic molecule. (a) At what frequency (in cm-1) would one observe the first overtone band of this same molecule? = = 1024.3 cm-1 e e = = 16.7 cm-1 for a