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The term symbol for a d² configuration with maximum multiplicity is ³F. Here's why:
Multiplicity: The multiplicity of a term symbol is calculated as 2S+1, where S is the total spin angular momentum. For a d² configuration, the maximum spin multiplicity occurs when the two electrons have parallel spins (both spin up, for example). This gives S = 1, and therefore a multiplicity of 2(1)+1 = 3, leading to a ³ (triplet) term symbol.
L: The total orbital angular momentum (L) is determined by the sum of the individual orbital angular momenta of the electrons. For d orbitals, l = 2. In the case of d², the possible values of L are 0, 1, and 2, corresponding to S, P, and D terms, respectively. The maximum value of L is achieved when the two electrons occupy different d orbitals with their spins aligned.
Term Symbol: The full term symbol is written as 2S+1LJ, where J is the total angular momentum, calculated by combining L and S. In this case, the maximum multiplicity term symbol is ³F, indicating a triplet state with L = 3 (F term).