If the crystal field splitting energy of a tetrahedral complex `(Delta _(l ))` of the type `[ML_(4)]^(n+)` is x e V what is the crystal field splitting energy with respect to an octahedral complex `[ML_(6)]^(n+)?`

Options

A. `(9x )/(4) eV`
B. `(9x )/(8 ) eV`
C. `(4x)/(9) eV`
D. `(4x)/(5) eV`

Answer

A

Explanation

The crystal field splitting in the tetrahdral field is smaller than in the octahedral field For most purposes the relationship between tetrahedral and octahedral crystsal splitting may be represented as :
`Delta _(1) = (4)/(9) Delta , Delta _(0) = (9)/(4) (Delta _(l ))`