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Question: The crystal field splitting energy for octahedral complex (Do) and that for tetrahedral complex (Dt ...

The crystal field splitting energy for octahedral complex (Do) and that for tetrahedral complex (Dt ) are related as:

A

Dt = 49\frac{4}{9}D0

B

Dt = 0.5 Do

C

Dt = 0.33 Do

D

Dt= D0

Answer

Dt = 49\frac{4}{9}D0

Explanation

Solution

(1) this may attributes to the following two reasons.

(i) there are only four ligands instead of six, so the ligand field is only two thirds the size ; as the ligand field splitting is also the two thirds the size and (ii) the direction of the orbitals does not concide with the direction of the ligands. this reduces the crystal field splitting by roughly further two third.

So Dt = 23\frac{2}{3} × 23\frac{2}{3}= Do.