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List the microstates of d2 configuration

Accepted Answer

The microstates for a d² configuration are:

⁵D: (mℓ = 2, 1, 0, -1, -2) with multiplicity 2S+1 = 5 (since S = 2)
³P: (mℓ = 1, 0, -1) with multiplicity 2S+1 = 3 (since S = 1)
¹G: (mℓ = 2, 1, 0, -1, -2) with multiplicity 2S+1 = 1 (since S = 0)
¹S: (mℓ = 0) with multiplicity 2S+1 = 1 (since S = 0)
These are determined by Hund's rules and the possible combinations of mℓ and ms values for the two electrons.


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