Predicting spectroscopic transition positions

  • Thread starter Thread starter samdiah
  • Start date Start date
  • Tags Tags
    Transition
samdiah
Messages
80
Reaction score
0
The harmonic oscillator is a model for the vibrating diatomic molecule. The energy expression for this model is given by:

Ev = (v+1/2) hν v = 0, 1, 2, 3,… (ν = oscillator frequency)

Use this expression to predict the wavenumber (cm-1) position of the infrared absorption due to the fundamental vibration (v = 0 --> v = 1) and the second overtone (v = 0 --> v = 3), for an harmonic oscillator of frequency ν = 8.00 x 1013 s, which is typical for a diatomic molecule.


If anyone can guide me as to what the question is asking for, how to setup the question and solve it I will really appreciate it.
 
Physics news on Phys.org
I think this question has to do with gaps between energy level.
 
can someone please help and give me clues.
 
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
Back
Top