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The ground state energy term for a d⁷ octahedral complex is ⁴T₁g. This arises from the following considerations:
1. High Spin vs. Low Spin: For d⁷, in an octahedral field, the complex can be either high spin or low spin depending on the ligand field strength. The energy level splitting of the d orbitals determines this.
2. Hund's Rule: The ground state term is determined by the maximum spin multiplicity. In this case, the d⁷ configuration leads to a maximum spin multiplicity of 4 (S = 3/2), giving rise to the superscript ⁴.
3. Tanabe-Sugano Diagram: The Tanabe-Sugano diagram for a d⁷ octahedral complex helps visualize the energy levels and predict the ground state term. The lowest energy state in the diagram corresponds to the ⁴T₁g term.
4. Spectroscopic Term Symbol: The subscript 'g' indicates the ground state is gerade (symmetric) with respect to inversion.
5. Ligand Field Strength: The exact energy level of the ⁴T₁g term will depend on the specific ligands involved in the complex and their field strength. Strong field ligands lead to larger splitting and potentially lower spin states.