Question

C. Identify a set of four possible quantum numbers for the circled electron in manganese

Answer 1

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