Question

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

Answer 1

For 3d_z², 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.