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Chemistry Question on coordination compounds

The crystal field splitting energy (CFSE)(CFSE) for [CoCl6]4−[CoCl_{6}]^{4-} is about 18000 cm−118000 \, cm^{-1} What would be the CFSECFSE value of [CoCl4]2−[CoCl_{4}]^{2-} ?

A

18000 cm−118000\, cm^{-1}

B

8000 cm−18000\, cm^{-1}

C

16000 cm−116000\, cm^{-1}

D

2000 cm−12000\, cm^{-1}

Answer

8000 cm−18000\, cm^{-1}

Explanation

Solution

The crystal field energy of tetrahedral and octahedral complex are related as : Δt=49Δo\Delta_{t} =\frac{4}{9} \Delta_{o}
Given : Δo=18000 cm−1\Delta_{o}=18000\, cm^{-1}
∴Δt=49×18000 cm−1\therefore \Delta_{t}=\frac{4}{9}\times18000 \,cm^{-1}
Δt=8000 cm−1\Delta_{t}=8000 \,cm^{-1}