What are the allowed transitions in the pure rotational spectra of CO2 molecule?

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SUMMARY

The allowed transitions in the pure rotational spectra of the CO2 molecule are governed by the selection rule ΔJ = ±1. However, it has been established that transitions involving odd values of J (1, 3, 5, etc.) are not populated, leading to allowed transitions only between even J states: 0 <-> 1, 2 <-> 3, 4 <-> 5, etc. This clarification resolves the confusion regarding the professor's statement about the odd states not being allowed, as they do not participate in transitions due to lack of population.

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Shivpal
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I know that the selection rule is :
\DeltaJ = +/- 1

but our prof said that according to some quantum mechanical calculations the odd values of J are not allowed. So, the allowed transitions are :
J 0 <-> 1 ; 2 <-> 3 ; 4 <-> 5... as the odd(1,3,5..) states will not be populated(hence contradicting his own statement)... and no transitions as J 1 -> 2 ; 3 -> 4 ...

I raised the question in the class but he seemed a bit more confused after my question.

Can anyone confirm the authentication of his statements. And Please tell me what is right and what is wrong. Thanx.
 
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...I checked everything on the internet (starting with wiki), and then asked the question here...by the way i got the answer...thanks for showing concern...
 

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