Collisional excitation of diatomic molecules

  1. Hi,
    assuming I have the potential for a diatomic molecule in the groundstate i=o and excited state i=1

    [itex]V_i( r ) = D( 1 − exp[ −β ( r − r_i)] )^2+ C_i[/itex]

    Using collisional excitation with fast electrons.
    What is the vibrational quantum number of the state the molecule will most likely be excited to?
    All under low pressure gas discharge.
    I first assumed I could use Franck Condon principle, but this is not the case as I am not radiating on the molecules and thus dipole approximation is not allowed.

    I cant use Lippmann–Schwinger equation either because I have no futher information on the interaction.
    Can anyone help me?
    Thank you,
    kuecken
     
  2. jcsd
  3. DrClaude

    DrClaude 2,387
    Science Advisor
    Homework Helper
    Gold Member

    I don't understand what the Franck-Condon principle has to do with the dipole approximation. The FC principle operates under the same conditions as the Born-Oppenheimer approximation: nuclei can be considered fixed with respect to electronic motion. If the electronic excitation is fast, then the FC principle applies.
     
Know someone interested in this topic? Share this thead via email, Google+, Twitter, or Facebook

Have something to add?

0
Draft saved Draft deleted