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Transition Dipole Moment (Read 5073 times)
Gerrit-Jan Linker
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Transition Dipole Moment
29.07.08 at 22:02:59
 
Transition Dipole Moment
 
When a system interacts with an electromagnetic wave of frequency ν, it can undergo a transition from an initial to a final state of energy difference E=hν  through the coupling of the electromagnetic field to the transition dipole moment.  
 
If the charge e is omitted from the electric dipole operator during this calculation, one obtains  as used in oscillator strength.
 
Another definition:
An oscillating electric or magnetic moment can be induced in an atom or molecule by an electromagnetic field. The interaction with the electromagnetic wave is resonant if the frequency of the field corresponds to the energy difference between the initial and final states of a transition (ΔE = hν). The amplitude of this moment is referred to as the transition moment.  
 
The transition dipole moment can be calculated from an integral taken over the product of the wavefunctions of the initial (m) and final (n) states of a spectral transition and the appropriate dipole moment operator of the electromagnetic radiation:
 
dnm = <n|d|m> where operator d = e(∑ixi, ∑iyi, ∑izi)
 
The transition dipole moment is useful for determining if transitions are allowed under the electric dipole interaction.
 
Source:
http://en.wikipedia.org/wiki/Transition_dipole_moment
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« Last Edit: 18.07.12 at 08:15:34 by Gerrit-Jan Linker »  

Gerrit-Jan Linker
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Gerrit-Jan Linker
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Re: Transition Dipole Moment
Reply #1 - 29.07.08 at 22:05:13
 
Quote:
The transition moments have a classical analoque in the oscillator strengths, measuring the intensity of dipolar transitions.

Source: thesis Alex de Vries
 
Edited:
I am not sure whether the remakr that the oscillator strength is classical is true. It contains an integral over 2 wavefunctions.

 
The transition dipole moment is related to the oscillator strength:
http://www.oraxcel.com/cgi-bin/yabb2/YaBB.pl?num=1290716132/0#0
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« Last Edit: 16.07.11 at 12:45:41 by Gerrit-Jan Linker »  

Gerrit-Jan Linker
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