Collisional excitation of diatomic molecules

by kuecken
Tags: collisional, diatomic, diatomic molecules, excitation, molecules
 P: 15 Hi, assuming I have the potential for a diatomic molecule in the groundstate i=o and excited state i=1 $V_i( r ) = D( 1 − exp[ −β ( r − r_i)] )^2+ C_i$ 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
PF Gold
P: 1,111
 Quote by kuecken Hi, 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 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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