(adsbygoogle = window.adsbygoogle || []).push({}); 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=8.00x10^{13}s.

2. Relevant equations

Energy expression for harmonic oscilator:

E_{v}= (v+1/2)hvv=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:

E_{0}= (0+1/2)*6.626x10^{-34}*8.00x10^{13}s

= 2.504 x 10^{-20}

E_{1}= (1+1/2)*6.626x10^{-34}*8.00x10^{13}s

= 7.9512 x 10^{-20}

E_{3}= (3+1/2)*6.626x10^{-34}*8.00x10^{13}s

= 1.85528 x 10^{-19}

Then I found difference between energies:

E_{1}-E_{0}=5.4472*10^{-20}and

E_{3}-E_{0}=1.60488*10^{-19}

I have no clue how to find the infrared absorption from this. Please help me ASAP. Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Harmonic Oscillator- Energy levels

**Physics Forums | Science Articles, Homework Help, Discussion**