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Questions asked by users might not always be phrased in the clearest way.
The correct answer is C. 3F. Here's why:
Term Symbols: Term symbols represent the electronic state of an atom or ion. They are built using the following format: 2S+1L_J
2S+1: This represents the spin multiplicity, where S is the total spin angular momentum. For d2 configuration, the maximum spin multiplicity occurs when the spins are aligned (both +1/2). So, 2S+1 = 2(1) + 1 = 3.
L: This represents the total orbital angular momentum, determined by the vector sum of the individual orbital angular momenta. For d orbitals, l = 2. In a d2 configuration, the maximum L value occurs when the two electrons occupy different d orbitals with their spins aligned, giving a total L = 2 + 2 = 4. L = 4 corresponds to an F term symbol.
J: This represents the total angular momentum, calculated as the vector sum of L and S. For a d2 configuration, J can range from |L-S| to |L+S|, giving values of 3, 4, and 5.
Therefore, the term symbol with the maximum multiplicity for a d2 configuration is 3F.