Question:

The crystal field splitting energy for octahedral $(\Delta_0)$ and tetrahedral $(\Delta_t) $complexes is related as

Updated On: Mar 4, 2024
  • $\Delta_t=-\frac{1}{2}\Delta_0$
  • $\Delta_t=-\frac{4}{9}\Delta_0$
  • $\Delta_t=-\frac{3}{5}\Delta_0$
  • $\Delta_t=-\frac{2}{5}\Delta_0$
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The Correct Option is B

Solution and Explanation

In tetrahedral complexes, the number of ligands is less than the octahedral complexes. Hence, the value of crystal field splitting energy of tetrahedral complexes $(\Delta_t)$ is nearly half the value for octahedral complexes $(\Delta_0). \Delta_t\, and\, $$\Delta_0$ are related as
$\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \Delta_t=-\frac{4}{9}\Delta_0$
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Concepts Used:

Coordination Compounds

A coordination compound holds a central metal atom or ion surrounded by various oppositely charged ions or neutral molecules. These molecules or ions are re-bonded to the metal atom or ion by a coordinate bond.

Coordination entity:

A coordination entity composes of a central metal atom or ion bonded to a fixed number of ions or molecules.

Ligands:

A molecule, ion, or group which is bonded to the metal atom or ion in a complex or coordination compound by a coordinate bond is commonly called a ligand. It may be either neutral, positively, or negatively charged.