Question

list all possible values of the magnetic quantum number (m_l) for a 4f electron.(m_l=square)

Explanation:

Step1: Determine the angular - momentum quantum number l

For an f - orbital, the angular - momentum quantum number $l = 3$.

Step2: Find the range of magnetic quantum number $m_l$

The magnetic quantum number $m_l$ ranges from $-l$ to $+l$ in integer steps. So, $m_l=-3,-2,-1,0,1,2,3$.

Answer:

$-3,-2,-1,0,1,2,3$