Yesterday I asked this question concerning the existence of terms. This question is on the same topic. I have been looking at some tables (in Yang and Hamilton (2010), pg 199) at the terms that exist for two electrons in the same configuration. I noticed that for example if the state 1S exists the state 3S would not and vice versa. Is this a general rule? I.e. can we say:
For two electrons in the configuration nl2 if the term 1L exists then the term 3L will not and vice versa.
If so can it be proved easily and if not why not?
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