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quantumech
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Homework Statement
Predict the wavenumber (cm-1) position of infrared absorption due to fundamental vibration from v=0 to v=1 and 2nd overtone from v=0 to v=3. For a harmonic occilator whose frequency=8.00x1013 s.
Homework Equations
Energy expression for harmonic oscilator:
Ev= (v+1/2)hv v=1, 2, 3...
The Attempt at a Solution
I am not at all sure of my answers, but this is what I did:
Fundamental Vibration:
E0= (0+1/2)*6.626x10-34*8.00x1013 s
= 2.504 x 10-20
E1= (1+1/2)*6.626x10-34*8.00x1013 s
= 7.9512 x 10-20
E3= (3+1/2)*6.626x10-34*8.00x1013 s
= 1.85528 x 10-19
Then I found difference between energies:
E1-E0=5.4472*10-20 and
E3-E0=1.60488*10-19
I have no clue how to find the infrared absorption from this. Please help me ASAP. Thanks.