Which following statement is incorrect. Crystal field stabilisation energy depends on;

Question

BlackTom AI · Accepted Answer

Crystal field stabilization energy (CFSE) is determined by the way the metal d orbitals are split by the ligand field, not by the Jahn–Teller effect itself.

1) Relevant knowledge points and concepts
- CFSE: the net stabilization resulting from placing d electrons into split d-orbital levels produced by the ligand field (e.g., octahedral t2g and eg levels).
- Factors that set the splitting Δ: ligand field strength (spectrochemical series), coordination geometry (octahedral, tetrahedral, square planar), and metal ion properties (oxidation state/charge, size).
- Jahn–Teller effect: a consequence of degenerate electronic ground states that causes a distortion to lower symmetry and energy for certain electron configurations (e.g., d9 octahedral), not a fundamental input parameter that determines Δ.

2) Step-by-step reasoning
- CFSE magnitude = sum of electron occupancies × their orbital energy shifts. For octahedral: each t2g electron contributes −0.4Δo, each eg electron contributes +0.6Δo; CFSE = (n_t2g × −0.4Δo) + (n_eg × +0.6Δo) plus pairing/other terms.
- Δo itself depends on ligand identity (strong-field ligands give larger Δo), on geometry (Δt for tetrahedral is much smaller and opposite sign distribution), and on metal charge (higher positive charge increases metal-ligand attraction and Δo).
- Jahn–Teller distortions may modify orbital energies locally and thus change the numerical CFSE for specific degenerate configurations, but the existence and primary value of CFSE are set by ligand, geometry, and metal charge; Jahn–Teller is a secondary consequence for certain electron counts.

3) Calculational note
- No numeric calculation required; the standard CFSE coefficients illustrate dependence on Δ, which in turn depends on ligands, geometry, and metal charge.

4) Why the correct answer is correct
- Saying CFSE “depends on the Jahn–Teller effect” is incorrect because JT is an effect that occurs for particular electronic degeneracies and modifies the energy afterwards; it is not a basic determinant that sets the crystal-field splitting for all complexes.

5) Why other options are incorrect
- a) Nature of the ligands: correct determinant (spectrochemical series).
- b) Geometry of the complex: correct (octahedral vs tetrahedral/square planar changes splitting pattern).
- d) Charge on the metal ion: correct (higher oxidation state → larger Δ).

6) Conclusion
The incorrect statement is c. the Jahn–Teller effect, which matches the provided answer.

Which following statement is incorrect. Crystal field stabilisation energy depends on;Single choice

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