Question

3dz^2, what is N,L and m(L) and how to draw it. please explain in
detail

Answer #1

For 3d_{z}^{2}, The values for quantum numbers
are as follows:

Principal quantum number (n) : 3 ( as the orbital belongs to third shell.)

Azimuthal quantum number (l): 2 (for d orbital)

Magnetic qantum number (m_{l}): +1

Magnetic quantum numbers for other 3d oritals are as follows:

3d_{yz}=-2, 3d_{xz}=-1, 3d_{xy}=0,
3d_{x2-y2} =+2

**Drawing the orbital:**

The elctron density in 3d_{z2} orbital lies
along the z-axis. It is a bilobed orbital along the z-axis which
also has a circular elctronic distribution at the centre.

The diagram is as follows.

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