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The five d-orbitals are designated as d(...

The five d-orbitals are designated as `d_(xy), d_(yz), d_(xz), d_(x^(2) - y^(2))` and `d_(z^(2))` . Choose the correct statement.

A

The shapes of the first three orbitals are similar but that of the fourth and fifth orbitals are different

B

The shapes of all five d-orbitals are similar

C

The shapes of the first four orbitals are similar but that of the fifth orbital is different

D

The shapes of all five d-orbitals are different

Text Solution

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The correct Answer is:
C
First four orbitals contain four lobes, while fifth orbital consists of only two lobes. The lobes of `d_(xy)` orbital lie between x and y axis. Similar is the case for `d_(yz)andd_(zx)` Four lobes of `d_(x^(2)-y^(2))` orbital are lying along x and y axis while two lobes of `d_(z^(2))` orbital are lying along z-axis.
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When hybridisation involving d-orbitals are considered then all the five d-orbitals are not degenerate, rather d_(x^(2)-y^(2)),d_(s^(2)) and d_(xy),d_(zx) form two different sets of orbitals and orbitals of appropriate set is involved in the hybridisation. In sp^(3)d^(2) hybridisation, which sets of d-orbitals is involved ?

When hybridisation involving d-orbitals are considered then all the five d-orbitals are not degenerate, rather d_(x^(2)-y^(2)),d_(s^(2)) and d_(xy),d_(zx) form two different sets of orbitals and orbitals of appropriate set is involved in the hybridisation. Molecule having trigonal bipyramidal geometry and sp^(3) d hybridisation, d-orbitals involved is :