Question

According to crystal field theory, octahedral splitting and tetrahedral splitting of $d$ orbitals caused by the same ligands are related through the expression :

• A. ${\Delta }_{\circ }={\Delta }_t$
• B. $4{\Delta }_{\circ }=9{\Delta }_t$
• C. $9{\Delta }_{\circ }=4{\Delta }_t$
• D. ${\Delta }_{\circ }=2{\Delta }_t$

Answer 1

The correct option is B $4{\Delta }_{\circ }=9{\Delta }_t$

The crystal field splitting in the tetrahedral field is intrinsically smaller than in the octahedral field. For most purposes the relationship may be represented :

$\frac{4}{9}{\Delta }_{\circ }={\Delta }_t$

$4{\Delta }_{\circ }=9{\Delta }_t$

Hence,option B is correct.