Question

Observe the given boundary surface diagrams of two orbitals $I$ and $II$ and choose the correct option.

• A. $I-d_{x^2-y^2}$ , $II-d_{yz}$
• B. $I-d_{yz}$, $II-d_{x^2-y^2}$
• C. $I-d_{xz}$, $II-d_{z^2}$
• D. $I-d_{xy}$, $II-d_{xz}$

Answer 1

Answer: (B)

Double dumbell-shaped lobes are present in the d-orbitals.
$d_{z^2}$-orbital has one lobe along z-axis and donut-shaped electron cloud perpendicular to it in xy plane
$d_{xy}$ has two dumbell-shaped lobes in between the $x-y$ axis
$d_{yz}$ has two dumbell-shaped lobes in between the $y-z$ axis
$d_{zx}$ has two dumbell-shaped lobes in between the $z-x$ axis
$d_{x^2-y^2}$ has two lobes along the $x$ and $y$-axis
In figure I, lobes are in between the $y-z$ axis and in figure II the two lobes along the $x$ and $y$-axis.
thus I is $d_{yz}$ and II is $d_{x^2-y^2}$.