The degenerate orbitals of $\left [ Cr\left ( H_{2}O \right )_{6} \right ]^{3+}$ are
Option 1)
$d_{xz}\; and\; d_{yz}$
Option 2)
$d_{yz}\; and\; d_{z^{2}}$
Option 3)
$d_{z^{2}}\; and\; d_{xz}$
Option 4)
$d_{x^{2}}-_{y^{2}} \; and \; d_{xy}$

Answers (1)

P Plabita

Crystal field splitting in octahedral complex -

$e_{g}$ orbitals are more energetic as compared to $t_{2g}$

- wherein

CFSE in octahedral complex -

$CFSE =\left [- \frac{2}{5}\left ( No. of\;electron\;in\;t_{2}g \right ) +\frac{3}{5}\left ( No. of\;\acute{e}s\;in\;eg \right ) \right ]\bigtriangleup \circ$

$\left [ Cr\left ( H_{2}O \right )_{6} \right ]^{3+}$ : degenerate orbitals =?

Which after CFS bliching energy

divided into 2-set of degenerate orbitals- $t_{2}g$ & $eg$ .

From option given degenerate orbitals are - $dxz$ & $dyz$ .

Option 1)
$d_{xz}\; and\; d_{yz}$
Option 2)

$d_{yz}\; and\; d_{z^{2}}$

Option 3)

$d_{z^{2}}\; and\; d_{xz}$

Option 4)

$d_{x^{2}}-_{y^{2}} \; and \; d_{xy}$

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The degenerate orbitals of areOption 1) Option 2) Option 3)Option 4)

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The degenerate orbitals of $\left [ Cr\left ( H_{2}O \right )_{6} \right ]^{3+}$ are
Option 1)
$d_{xz}\; and\; d_{yz}$
Option 2)
$d_{yz}\; and\; d_{z^{2}}$
Option 3)
$d_{z^{2}}\; and\; d_{xz}$
Option 4)
$d_{x^{2}}-_{y^{2}} \; and \; d_{xy}$