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Collisional excitation of diatomic molecules

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kuecken
#1
Jan9-14, 11:36 AM
P: 16
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
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DrClaude
#2
Jan9-14, 04:35 PM
Sci Advisor
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P: 1,325
Quote Quote by kuecken View Post
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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