(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

List all possible values for the quantum numbers [itex]n[/itex], [itex]l[/itex], [itex]m_l[/itex] and [itex]m_s[/itex] for a state 2p. If an atom has 2 electrons 2p, how many states are there?

2. Relevant equations

Simple ones.

3. The attempt at a solution

[itex]n=2[/itex].

[itex]l=1[/itex].

[itex]m_l=-1, 0, 1[/itex].

[itex]m_s=-1/2, 1/2[/itex].

Now I'm confused on how to answer the question.

2 electrons in 2p means 2 electrons with quantum numbers:

(n,l,m_l,m_s)=

(2,1,-1,1/2) and (2,1,-1,-1/2)

or (2,1,-1,-1/2) and (2,1,-1,-1/2)

or (2,1,-1,1/2) and (2,1,0,1/2)

or (2,1,-1,1/2) and (2,1,0,-1/2)

or (2,1,0,1/2) and (2,1,-1,1/2)

or etc.

I mean an electron can have a certain [itex]m_l[/itex] while the other can have any other [itex]m_l[/itex] incuding the same [itex]m_l[/itex] as the first electron. When they have the same m_l, they must have opposite spin. Is this ok?

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# Quantum numbers problem

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