
Interpretation:
The expected symmetry pairings of the nuclear and rotational wavefunctions is to be predicted.
Concept introduction:
The symmetry pairings of the nuclear and rotational wavefunctions is given as follows:

Answer to Problem 18.33E
The expected symmetry pairings of the nuclear and rotational wavefunctions are,
Explanation of Solution
It is given that the diatomic oxygen has an antisymmetric ground electronic state. The oxygen nuclei are bosons
The symmetry pairings of the nuclear and rotational wavefunctions is given as follows:
Substitute
For even values of
Substitute
Substitute
Substitute
Hence, the expected symmetry pairings of the nuclear and rotational wavefunctions are,
The expected symmetry pairings of the nuclear and rotational wavefunctions are,
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Chapter 18 Solutions
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