The vibrational energy levels of a diatomic molecule can be written (in wavenumbers) as ¤¸=ï _(n + ² ) - x _v_(n + ²)²³ E n e e Suppose that the harmonic frequency is = 1024.3 cm-1 (sometimes written w) and the anharmonic coefficient is = 16.7 cm-1 for a 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.)?
The vibrational energy levels of a diatomic molecule can be written (in wavenumbers) as ¤¸=ï _(n + ² ) - x _v_(n + ²)²³ E n e e Suppose that the harmonic frequency is = 1024.3 cm-1 (sometimes written w) and the anharmonic coefficient is = 16.7 cm-1 for a 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.)?
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Transcribed Image Text: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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