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

Options

A. `d_("xy")^(2)d_("yz")^(2)d_("zx")^(1)`
B. `d_("xy")^(1)d_("yz")^(1)d_("zx")^(1)d_("x"^(2)-"y"^(2))d_("z"^(2))^(1)`
C. `d_("xy")^(2)d_("yz")^(1)d_("zx")^(1)d_("x"^(2)-"y"^(2))^(1)`
D. `d_("xy")^(2)d_("yz")^(1)d_("zx")^(1)d_("x"^(2)-"y"^(2))^(2)`

Answer

a

Explanation

Electrons are filled in `t_(2g)` orbitals