Chemical Bonding and Molecular Structure - Result Question 65
####66. In an octahedral structure, the pair of $d$ orbitals involved in $d^{2} s p^{3}$ hybridization is
[2004]
(a) $d _{x^{2}-y^{2}}, d _{z^{2}}$
(b) $d _{x z}, d _{x^{2}-y^{2}}$
(c) $d _{z^{2}}, d _{x z}$
(d) $d _{x y}, d _{y z}$
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Solution:
(a) $d _{x^{2}-y^{2}}, d _{z^{2}}$ orbitals are involved in $d^{2} s p^{3}$ hybridisation.
Only those $d$ orbitals whose lobes are directed along $X, Y$ and $Z$ directions hybridise with $s$ and $p$ orbitals. In other three $d$ orbitals namely $d _{x y}, d _{y z}$ and $d _{x z}$, the lobes are at an angle of $45^{\circ}$ from both axis, hence the extent of their overlap with $s$ and $p$ orbitals is much lesser than $d _{x^{2}-y^{2}}$ and $d _{z^{2}}$ orbitals.
