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Chemistry Question on coordination compounds

The crystal field splitting energy for octahedral (Δ0)(\Delta_0) and tetrahedral (Δt)(\Delta_t) complexes is related as

A

Δt=−12Δ0\Delta_t=-\frac{1}{2}\Delta_0

B

Δt=−49Δ0\Delta_t=-\frac{4}{9}\Delta_0

C

Δt=−35Δ0\Delta_t=-\frac{3}{5}\Delta_0

D

Δt=−25Δ0\Delta_t=-\frac{2}{5}\Delta_0

Answer

Δt=−49Δ0\Delta_t=-\frac{4}{9}\Delta_0

Explanation

Solution

In tetrahedral complexes, the number of ligands is less than the octahedral complexes. Hence, the value of crystal field splitting energy of tetrahedral complexes (Δt)(\Delta_t) is nearly half the value for octahedral complexes (Δ0).Δt and (\Delta_0). \Delta_t\, and\, Δ0\Delta_0 are related as
                  Δt=−49Δ0\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \Delta_t=-\frac{4}{9}\Delta_0