Question

C. identify a set of four possible quantum numbers for the circled electron in manganese (mn). (there is more than one correct answer.) (1 point) n = l = ml = ms =

Answer 1

*as AFOKE88 stated in a response to the same question*

Answer:

n = 3

l = 0, 1, or 2

m_l = -2, -1, 0 , 1 or 2.

m_s = +½ or -½

Step-by-step 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

Answer 2

Although you have not provided the circled electron, I can help you with a wide explanation.

1) Atomic number of manganese is 25. That means that it has 25 protons and 25 electrons.

2) Those 25 electrons are distributed (electron configuration) as per the quantum rules:

1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d⁵

3) The most reasonable is that you have been asked to give the possible quantum numbers for an electron in the 4s or 3d.

4) Those are 7 electrons and these are their possible sets of quantum numbers:
i) For the two electrons in 4s:
n is the main energy level so n = 4
l tells the kind of orbital, which is s, so l = 0
ml is also 0 (it can be from -l to + l, so given that l i s0, ml is 0)
ms: one is +/12 and the other is -1/2 (this is the spin number).


ii) For the 5 electrons in 3d

n = 3
l can be 0, 1, or 2
if l = 0, then ml = 0

if l = 1, then ml can be -1, 0 , or 1 (from - l to + l)


ms can be either +1/2 or - 1/2 (spin)