Answer:
Here's what I get
Explanation:
If the orbital is 5d, n = 5 and l=2.
mₗ = -l, -l + 1, -l + 2, …., l
(mₛ is a quantum number for electrons)
Thus, we can have the following combinations.
[tex]\begin{array}{ccr}\mathbf{n} & \mathbf{l} & \mathbf{m_{l}}\\5 & 2 & -2\\5 & 2 & -1\\5 & 2 & 0\\5 & 2 & 1\\5 & 2 & 2\\\end{array}[/tex]
That makes a total of five 5d orbitals.
The pictures below show what two of them look like.