Crystal Field Stabilisation Energy (CFSE)

A consequence of Crystal Field Theory is that the distribution of electrons in the d orbitals can lead to stabilisation for some electron configurations.

It is a simple matter to calculate this stabilisation since all that is needed is the electron configuration.

For an octahedral complex, an electron in the more stable t2g subset is treated as contributing -2/5Δ whereas an electron in the higher energy eg subset contributes to a destabilisation of +3/5Δ.

The final answer is then expressed as a multiple of the crystal field splitting parameter Δ (Delta).

Based on this, the Crystal Field Stabilisation Energies for d0 to d10 configurations can then be used to calculate the Octahedral Site Preference Energies, which is defined as: OSPE = CFSE (oct) - CFSE (tet)

Note: the conversion between Δoct and Δtet used for these calculations is:
Δtet = Δoct * 4/9

Crystal Field Stabilisation Energies (CFSE)
and Octahedral Site Preference Energies (OSPE)
Configuration Octahedral   Tetrahedral   OSPE
  config CFSE config CFSE  
d0 t2g0 0 Δo e0 0 Δt 0 Δo
d1 t2g1 -2/5 Δo e1 -3/5 Δt -6/45 Δo
d2 t2g2 -4/5 Δo e2 -6/5 Δt -12/45 Δo
d3 t2g3 -6/5 Δo e2t21 -4/5 Δt -38/45 Δo
d4 t2g3eg1 -3/5 Δo e2t22 -2/5 Δt -19/45 Δo
d5 t2g3eg2 0 Δo e2t23 0 Δt 0 Δo
d6 t2g4eg2 -2/5 Δo + P e3t23 -3/5 Δt + P -6/45 Δo
d7 t2g5eg2 -4/5 Δo + 2P e4t23 -6/5 Δt + 2P -12/45 Δo
d8 t2g6eg2 -6/5 Δo + 3P e4t24 -4/5 Δt + 3P -38/45 Δo
d9 t2g6eg3 -3/5 Δo + 4P e4t25 -2/5 Δt + 4P -19/45 Δo
d10 t2g6eg 0 Δo e4t26 0 Δt 0 Δo


Graphically this can be represented by:

Octahedral Site Preference Energies

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Copyright © 2006 by Robert John Lancashire, all rights reserved.

Created and maintained by Prof. Robert J. Lancashire,
The Department of Chemistry, University of the West Indies,
Mona Campus, Kingston 7, Jamaica.
Created December 1998. Links checked and/or last modified 25th September 2006.
URL http://wwwchem.uwimona.edu.jm/courses/CFSE.html