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In Tanabe-Sugano-diagrams, different electronic transitions of term symbols of a given symmetry are shown. However, these electronic states arise due to splitting of term symbols of spherical to octahedral symmetry. What does this mean? (https://en.wikipedia.org/wiki/Tanabe%E2%80%93Sugano_diagram)

Does "spherical" mean the usual term symbol splitting in gaseous metal ions, where all the d-orbitals are degenerate because they have no ligands? And octahedral symmetry the different electronic states that arise due to the d-orbital splitting?

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For example, in a gaseous metal ion the state $^{9}G$ would split into the four given states in an octahedral ligand field?

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  • $\begingroup$ Yes. The (potential) splitting is purely a reflection of the symmetry. $\endgroup$
    – Ian Bush
    Mar 22 at 20:49
  • $\begingroup$ Okay that makes sense $\endgroup$
    – Mäßige
    Mar 23 at 6:19

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