Collisional excitation of diatomic molecules


by kuecken
Tags: collisional, diatomic, diatomic molecules, excitation, molecules
kuecken
kuecken is offline
#1
Jan9-14, 11:36 AM
P: 15
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
Phys.Org News Partner Physics news on Phys.org
Global scientific team 'visualizes' a new crystallization process (w/ video)
Modification of structural composite materials to create tailored lenses
Novel technique opens door to better solar cells
DrClaude
DrClaude is offline
#2
Jan9-14, 04:35 PM
Sci Advisor
PF Gold
DrClaude's Avatar
P: 1,111
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.


Register to reply

Related Discussions
Collisional excitation minimum velocity Introductory Physics Homework 4
Diatomic molecules Advanced Physics Homework 1
How are diatomic molecules formed? Chemistry 12
Vibrations of diatomic molecules Advanced Physics Homework 9
Collisional Excitation and Striations in Glow Discharges General Physics 0