Answer:
n = 3
l = 0, 1, or 2
m_l = -2, -1, 0 , 1 or 2.
m_s = +½ or -½
Explanation:
The atomic number of manganese is 25 and as such it's electron configuration is;
1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d⁵
The circled electron is part of the 5 electrons in the 3d orbital.
In this place, the main energy level which is the principal quantum number is n = 3 while the azimuthal quantum number is l = 2.
Thus,l can either be 0, 1, or 2
Now; if l = 0, then it means ml = 0
if l = 2, then it means the magnetic quantum number m_l from - l to + l could be -2, -1, 0 , 1 or 2.
Also, we know that the spin quantum number m_s could be +½ or -½
