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According to crystal field theory d-orbi...

According to crystal field theory d-orbitals split up in octahedral field into two sets.`d_("xy")d_("yx")d_("zx")` have lower energy and `d_(x^(2)-y^(2))" "and" "d_(z^(2))` have higher energy. The difference in energy of these two sets of d-orbitals is called crystal field splitting energy denoted by `Delta_(0)`.
In tetrahedral field `d_(x^(2)-y^(2))" "and" "d_(z^(2)` have lower energy whereas `d_("xy")d_("yz")d_("zx")` have higher energy. The difference in energy is denoted `Delta_(t)`.
`Delta_(0)` can be determined by measuring `lambda_("max")` for absorption and converting into energy units. `Delta_(0)` depends upon nature of metal ions as well as nature of ligands. The magnitude of `Delta_(0)` also decides low energy levels are filled.
which one of the following has the highest magnetic moment

A

`[CoF_(6)]^(3-)`

B

`[Ni(H_(2)O)_(6)]^(2+)`

C

`[Fe(CN)_(6)]^(3-)`

D

`[Cu(NH_(3))_(4)]^(2+)`

Text Solution

Verified by Experts

The correct Answer is:
a
Cobalt(III) , `d^(6)` , Highspin complex , 4 unpaired electrons
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According to crystal field theory d-orbitals split up in octahedral field into two sets. d_("xy")d_("yx")d_("zx") have lower energy and d_(x^(2)-y^(2))" "and" "d_(z^(2)) have higher energy. The difference in energy of these two sets of d-orbitals is called crystal field splitting energy denoted by Delta_(0) . In tetrahedral field d_(x^(2)-y^(2))" "and" "d_(z^(2) have lower energy whereas d_("xy")d_("yz")d_("zx") have higher energy. The difference in energy is denoted Delta_(t) . Delta_(0) can be determined by measuring lambda_("max") for absorption and converting into energy units. Delta_(0) depends upon nature of metal ions as well as nature of ligands. The magnitude of Delta_(0) also decides low energy levels are filled. Given the following data about absorption maximum of several complex ions, the correct order of Delta_(0) for these ions is Complexes lambda_("max") [Cr(H_(2)O)_(6)]^(3+) 694 "nm" [Cr(NH_(3))_(6)]^(3+) 465"nm" [CrC1_(6)]^(3-)" "758 "nm"

The crysal field splitting energy for octahedral (Delta_(0)) and tetrahedral (Delta_(t)) complexes is related

The crystal field splitting energy for octahedral (Delta_(0)) and tetrahedral (Delta_(t)) complexes is related as .

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