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Grpund state free ion term symbol of a d7 complex

Accepted Answer

The term symbol for a d7 complex depends on the spin and orbital angular momentum of the electrons. Here's how to determine it:
1. Determine the number of unpaired electrons: A d7 configuration has 7 electrons in the d orbitals. The ground state configuration will have 3 unpaired electrons (Hund's rule).
2. Calculate the total spin angular momentum (S): With 3 unpaired electrons, S = (1/2) + (1/2) + (1/2) = 3/2.
3. Calculate the total orbital angular momentum (L): The d orbitals have l = 2. To determine L, we need to consider the possible combinations of the individual l values. For a d7 complex, the most likely ground state configuration results in L = 3 (summing the individual l values and maximizing them with Hund's rule).
4. Determine the term symbol: The term symbol is written as 2S+1LJ. In this case, 2S+1 = 2(3/2) + 1 = 4. L = 3, which corresponds to F.
Therefore, the ground state term symbol for a d7 complex is ⁴F. However, this is a simplified explanation, and the actual term symbol may be affected by factors such as the ligand field strength and the presence of spin-orbit coupling.


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