By means of second quantization one may construct the ground state of a closed shell atom(He, Ne, etc.) using single-particle creation operators on the vacuum state:

|Ф0>=N/2Пi (bi↑+)*(bi↓+) |0>

Can a closed SUBshell atom be constructed in a simmilar manner?

In the UHF method, from what I understand, if there is one more electron of spin alpha(N+1 electrons) than beta spin(N electrons), the ground state is a doublet but it may be contaminated by a quartet. In the case of Mg-like sequence there are two electrons, with spin alpha and beta, respectively, besides the Ne-like closed shell core. Can their corresponding ground state be contaminated by a triplet excited state as similar to the previous case?

What are the assumptions needed for one to be able to construct the ground-state of a closed SUBshell atom?

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