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,
  2. jcsd
  3. DrClaude

    DrClaude 2,327
    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.
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