Question

Which of the following pairs of d-orbitals have electron density along the axis? ${\mathrm{dz}}^2,\mathrm{dxz}\mathrm{dxz},\mathrm{dyz}{\mathrm{dz}}^2,{\mathrm{dx}}^2–{\mathrm{y}}^2\mathrm{dzy},{\mathrm{dx}}^2–{\mathrm{y}}^2$

Answer 1

d-orbital:

• The d-orbital is a set of five degenerate orbitals named as ${\mathrm{dz}}^2,\mathrm{dxz},\mathrm{dyz},{\mathrm{dx}}^2–{\mathrm{y}}^2\mathrm{and}\mathrm{dzy}$.
• It can be represented as:

• The position of electron density depends upon the position of the orbitals.
• The orbitals of $\mathrm{dxy}$ lie in between the x and y-axis. Thus, the electron density of $\mathrm{dxy}$ lies in between the x and y-axis.
• The orbitals of $\mathrm{dyz}$ lie in between the z and y-axis. So, the electron density of $\mathrm{dyz}$ lies in between the z and y-axis.
• The orbitals of $\mathrm{dxz}$ lie in between the x and z-axis. So, the electron density of $\mathrm{dxz}$ lies in between the x and z-axis.
• The orbital of ${\mathrm{dz}}^2$ lie on the z-axis. So, the electron density of the ${\mathrm{dz}}^2$ lies on the z-axis.
• The orbitals of ${\mathrm{dx}}^2-{\mathrm{y}}^2$ lie on the x and y-axis. So, the electron density of ${\mathrm{dx}}^2-{\mathrm{y}}^2$ lies on the x and y-axis.

The pairs of d-orbitals have electron density along the axis ${\mathrm{dz}}^2$ and ${\mathrm{dx}}^2-{\mathrm{y}}^2$.