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The maximum multiplicity for a d² configuration is 3. Here's why:
Hund's Rule: Electrons will individually occupy orbitals within a subshell before doubling up in any one orbital. This maximizes spin multiplicity.
d² Configuration: A d² configuration means there are two electrons in the d subshell (which has five orbitals).
Spin Multiplicity: The multiplicity is calculated as 2S + 1, where S is the total spin angular momentum. Since each electron has a spin of +1/2, the total spin (S) for two unpaired electrons is +1. Therefore, the multiplicity is 2(1) + 1 = 3, indicating a triplet state.