The vibrational energy levels of a diatomic molecule can be written (in wavenumbers) as 5 ¸ = 0 ( a + ² }) - x x (x + ² ) ² E n 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. (a) At what frequency (in cm-1) would one observe the first overtone band of this same molecule?
The vibrational energy levels of a diatomic molecule can be written (in wavenumbers) as 5 ¸ = 0 ( a + ² }) - x x (x + ² ) ² E n 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. (a) At what frequency (in cm-1) would one observe the first overtone band of this same molecule?
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Transcribed Image Text: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
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