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Q. The $3d$-orbitals having electron density in all the three axes is

Structure of Atom

Solution:

The five $d$-orbitals are $d _{x y}, d _{y z}, d _{z x}, d _{x^{2}-y^{2}}, d _{z^{2}}$
and have shapes as given in the figure. It is clear that $d_{Z^{2}}$-orbital has one lobe along $z$ axis and donut-shaped electron cloud perpendicular to it in $xy$ plane, while all other d-orbitals have two dumbells eiher along the axis $\left( d _{ x ^{2}- y ^{2}}\right)$ or in between the axis $\left(d _{ xy }, d _{ yz }, d _{z x }\right)$
image