For `Mn^(3+)` ion the electron pairing energey P is `28000cm^(-1) Delta_(0)` values for the complexes `[Mn(H_(2)O)_(6)]^(3+)` and `[Mn(CN)_(6)]^(3-)` are `21000cm^(-1)` and `38500cm^(cm-1)` and `38500cm^(-1)` respectively Do these complexes have high spin or low spin complexes Also write the configuration corresponding to these states .

Explanation

For `[Mn(H_(2)O)_(6)]^(3+)` ion `Delta_(0)ltP(Delta_(0)=21000cm^(-1)`
`P=28000cm^(-1)` Hence this is a high spin complex `("pairing up of electron will not take place")` Mn in `[Mn(H_(2)O)_(6)]^(3+)`
is present as `Mn^(3+)` ion `Mn^(3+)` ion is `d^(4)` system its configuration is `t_(2g) e_(1)^(2)`
For `[Mn(CN)_(6)]^(3-)` ion `:. Delta_(0)gtP(Delta_(0) =38500cm^(-1) P=28500cm-1)` Hence pairing of electron will take place and the `[Mn(CN)_(6)]^(3-)` is low spin complex Mn in `[Mn(CN)_(6)]^(3-)` is present as `Mn^(3+)` ion which is `d^(4)` system its configuration is `t_(2g)^(4)eg_(0)` .