1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Harmonic Oscillator- Energy levels

  1. Oct 1, 2008 #1
    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


    I have no clue how to find the infrared absorption from this. Please help me ASAP. Thanks.
  2. jcsd
  3. Oct 1, 2008 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    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?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?