Harmonic Oscillator- Energy levels

1. Oct 1, 2008

quantumech

1. The problem statement, all variables and given/known data

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.

2. Relevant equations

Energy expression for harmonic oscilator:

Ev= (v+1/2)hv v=1, 2, 3....

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.

2. Oct 1, 2008

Redbelly98

Staff Emeritus
You need the equation for energy of a photon of a particular wavelength. Your book or professor must have given you this, in order to be asking this question.

Another question, do you know what the units are for the energies you calculated?