Crystal Field Splitting Energy ($$\Delta_o$$- Octahedral)

Rarely Tested

Formula:

$$\text{CFSE} = \left[ -0.4 \cdot n(t_{2g}) + 0.6 \cdot n(e_g) \right] \cdot \Delta_o + P$$

Concept: Calculates the net electronic stabilization energy gained by a transition metal ion when its degenerate $$d$$ -orbitals split into lower-energy $$t_{2g}$$ and higher-energy $$e_g$$ subsets within an octahedral field.

Notation:

  • $$\text{CFSE}$$ = Crystal Field Splitting Energy;
  • $$n(t_{2g})$$ = Number of electrons in $$t_{2g}$$ orbitals;
  • $$n(e_g)$$ = Number of electrons in $$e_g$$ orbitals;
  • $$\Delta_o$$ = Octahedral splitting parameter;
  • $$P$$ = Pairing energy.
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