Problem 1 The electronic states 2 u (groundstate)  , 2 g , 2 u , 2 g  of a homonuclear diatomic anion is shown below The term symbol for the electronic states can be represented as 2S 1 ( / ) ,(g/u)     Where the angular momentum quantum number Λ, the spin quantum number S, the quantum number Σ (S, S-1, ..., -S), and the projection of the total angular momentum quantum number onto the molecular symmetry axis Ω, which can be derived as Ω=Λ+Σ. u and g are odd and even parity respectively . The electronic transition are allowed or forbidden based on selection rules , which says  The total spin cannot change, S 0  the rule 0  holds for multiplets;  The total orbital angular momentum change should be 0, 1    The total angular momentum change should be 0, 1 ,       for term, or areallowed         for parity ,u g or g u are onlyallowed  a) Electronic excitation from 2 2u g     In this case S 2 2 0    , 0 0 0    , 0  and the transition is from u(odd) g(even) and also    This electronic excitation is allowed because its satisfies the required selection rules b) Electronic excitation from 2 2u u    In this case S 2 2 0    , 0 1 1    ,

Electronic Spectra

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Electronic Spectra

Answered Same Day Dec 23, 2021

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Robert answered on Dec 23 2021

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Problem 1
The electronic states 2 u (groundstate)
 , 2 g ,
2
u ,
2
g
 of a homonuclear diatomic anion is shown below
The term symbol for the electronic states can be represented as
2S 1 ( / )
,(g/u)
  

Where
the angular momentum quantum number Λ, the spin quantum number S, the quantum number Σ (S, S-1, ..., -S),
and the projection of the total angular momentum quantum number onto the molecular symmetry axis Ω, which
can be derived as Ω=Λ+Σ. u and g are odd and even parity respectively .
The electronic transition are allowed or fo
idden based on selection rules , which says
 The total spin cannot change, S 0  the rule 0  holds for multiplets;
 The total o
ital angular momentum change should be 0, 1  
 The total angular momentum change should be 0, 1 ,     
 for term, or areallowed       
 for parity ,u g or g u are onlyallowed 
a) Electronic excitation from 2 2u g
   
In this case S 2 2 0    , 0 0 0    , 0 
and the transition is from u(odd) g(even) and also   
This electronic excitation is allowed because its satisfies the required selection rules
) Electronic excitation from 2 2u u
  
In this case S 2 2 0    , 0 1 1    , 0 
and the transition is from u(odd) u(odd) which is fo
idden
This electronic...

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