SATHEE: Chemical Bonding and Molecular Structure

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.

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Chemical Bonding and Molecular Structure - Result Question 65

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