This question regarding quantum number

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Discussion Overview

The discussion revolves around identifying the correct set of quantum numbers for the eighth electron in an atom of oxygen. Participants explore the implications of quantum numbers in relation to electron configuration, particularly focusing on the p subshell and the application of Hund's rules.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant proposes option B as the correct answer based on the second shell and p subshell configuration, while another asserts that option A is correct.
  • Concerns are raised about the phrasing of the question, specifically regarding the definition of "the eighth electron" and its reference to the ground state of the +1 oxygen ion.
  • Some participants discuss Hund's rules, suggesting that the placement of electrons should maximize the total orbital angular momentum (L), which influences the choice of ml values.
  • There is a debate on the relevance of ml values in the context of degenerate orbitals, with some arguing that the electron's placement does not depend on ml in an isolated atom.
  • One participant speculates that confusion may arise from conventional practices in drawing orbitals, which could lead to misconceptions about the significance of the order in which electrons are filled.
  • Multiple participants express uncertainty about whether A is definitively the correct answer, with one stating that there is no correct answer while dismissing option D.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct answer, with multiple competing views regarding the validity of the proposed options and the interpretation of the question itself.

Contextual Notes

Participants note that the question may lack clarity and that assumptions about electron placement and the significance of quantum numbers are not universally agreed upon. The discussion reflects varying interpretations of Hund's rules and the implications of degenerate orbitals.

TT0
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What is the correct set of quantum numbers for the eighth electron that fills the orbitals in an atom of oxygen?

A. n = 2, l = 1, ml = –1, ms = –1/2
B. n = 2, l = 1, ml = +1, ms = –1/2
C. n = 2, l = 1, ml = +1, ms = +1/2
D. n = 2, l = 0, ml = –1, ms = +1/2
E. n = 1, l = 1, ml = +1, ms = –1/2

I chose B, because it is in the 2nd shell, p subshell, on the right orbital and has a negative spin. But they said the answer is A. This website sometimes has errors so could someone tell me if I am right?
 
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Personally, I don't quite like the way the question is phrased - how does one define "the eighth electron in an atom of oxygen"? It only makes sense if you make reference to the ground state of the +1 oxygen ion.

The answer by the site seems correct to me. Have you heard of Hund's rules?
 
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I see, I realized I was thinking about the eighth electron on the 2nd shell and not overall, thanks!
 
TT0 said:
I see, I realized I was thinking about the eighth electron on the 2nd shell and not overall, thanks!
My bad - I was actually the one thinking about the eighth electron on the second shell!
So in that case, your answer is correct, and the site is wrong, because Hund's second rule is to maximise L, and so the 4th electron in the 2p shell should be in the ml = +1 orbital.
 
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Does ml value really matter? I can be wrong, but these are degenerate orbitals (with the same energy), so the electron doesn't care what is the ml value. When there is an external magnetic field, it can make things different, but in an isolated atom question doesn't make much sense to me.
 
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Borek said:
Does ml value really matter? I can be wrong, but these are degenerate orbitals (with the same energy), so the electron doesn't care what is the ml value. When there is an external magnetic field, it can make things different, but in an isolated atom question doesn't make much sense to me.
Indeed, the question doesn't make any sense.
 
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Yes, taken on its own, the question doesn't make much sense. I strongly suspect the question is trying (in some way) to specifically target Hund's rules. Using Hund's rules, one would systematically "place" the electrons one-by-one to determine the J and S values for the atom. So, the "eighth electron" technically refers to the "last" electron to be "placed" in this scheme.
 
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Fightfish said:
Using Hund's rules, one would systematically "place" the electrons one-by-one
That's the Aufbau principle.

Fightfish said:
So, the "eighth electron" technically refers to the "last" electron to be "placed" in this scheme.
Yes, but as Borek said, the ##m_l## and ##m_s## states being of equal energy, there is no "order" in which to put in the electron.
 
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Somehow I suspect someone was confusing a convention (when drawing orbitals we always fill squares from the left) with the "real" thing, assumed this order matters and extended the idea to ml values. Pure speculation on my side, but I have seen similar thinking on several occasions :frown:
 
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So is A still the correct answer?
 
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TT0 said:
So is A still the correct answer?
As far as I am concerned, there is no correct answer, but it can't be D.
 

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